Physics-
General
Easy
Question
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement?
![](data:image/png;base64,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)
The correct answer is: ![](data:image/png;base64,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)
The
equation from the given graph can be written as,
![v equals open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses blank x plus v subscript 0 end subscript blank open parentheses i close parentheses](data:image/png;base64,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)
![therefore blank a equals fraction numerator d v over denominator d t end fraction equals open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses fraction numerator d x over denominator d t end fraction equals open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses blank v](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQsAAAAwCAYAAAAGn1+IAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAeOiuv/QAABaNJREFUeNrtnV+EVVscx3/GSEYuSZLkcl1JkrgPGRmJHpIexqWHeeghkSRXD5ErSXpJD8lI5EqSREaSzEuSeUgiGSNJXD1c9yHDlVzXNeK0fvbv5LRm7XPW3rPWb5219/fDjz1zZvZev/Nde/1fv0UEcuCEsWsZpHNa0go9oAdIwISxeWOjGaSV07hgbA/0gB5AlzFjH4ztzCjN2yXNa6AH9AB6XDR2PcN0T0vaoQf0AAqsN/bJ2KYM077R2GfxAXpADxCZs8buZJz+m8bOQQ/oAeLzlorBtFj8auyu4/dPjR0IcP/dxt5BD+jRdP4zNpLw+VuMLUZ+xs9UjOr3wqPmLwM+46OxrRnrAD3AQNEWEqfhSEktE7tQfGFsX8D73xVfctUBeoC+TBq7lzgNt40dV3gOZ8Ydcr3f2Fzg+x8VX3LVAXqAb/DcM08r8Sj3/8ZmqFiZd0apH1nG48j3730JDsk1N4HHA9+fM/xsAB26Gf2S438vymcEPYLpASy4ufdMmmV8/YOx88Y6Uqtp9SNdcP9YY5qLlwJfFn+flPzNQSoGxt7JddXCeDGADl1eG9tgdQ80ll23SQ/g4JxVc3V5T9/PpcfuR/r0XWPBteUDY2/IvSpxXJrC68SeVaztRsSXEDp0a8Yrcr1PWngatEkP4OAvWr4E1vVlxu5HuugofQdj0ux/VPL5Q/p+X8FEn78tYymQDl2eSJrm5YUh6BFUD2Cxs+Sl3yWltWY/MmXmJBkn2F7y2WerRh2R34XypYoOXU5Jht+h+B21RQ/ggAcuXavxpozdqtGPzDlzVk3HUkBfqujA8MKiGemKTDW0sEipB3DAL/59x+854x6r2I9scua0a7LRwDVZFR1+kib3mHRbXjWwG5JaD1DSN3zb8/L/QsX02N+0fIpsUD+yyZnT7iPvke8plC++OvBMxKxVOBwkvb0abdEDlLBBWgxcEPAg5l5j/xhbXbEf2eTMOS5jB2vlhZ2j6usNOivUYZV87trtyYu29kMPFBZtZpgE5Rr8vbzAv2XuC/RAYYHCAr7Ah2HwpRPxATxYc4GK3XA8qstTkz+irEDmhA9JfFnx9oaYhQUPzkxLH4wLDh4Zn/RISz8bNmHqpBeFBfRIoUeq7Q0DmaLl02a3SWfDDl4w+AI93KTY3jAQ17r2uYjdkE5E0xa0TppS+d9RTAf0qK6HTYrtDQOxSzC+/jdSMxLNXtTK0MPPlxTbGwZib5Xlpbyv0QNBYQEfkvpSaXtDvxJ2Uj4LEcGIV+n1LoDircozKCdQWMCHpL5U2t6gVVhwhKMb0v3gcQqeskEUHxQW8CGtLym2N3jBZzHcl1YFtzI+Uv+pUxQW8AU+xPdFe3tDLYbpxKSUYehRWAyPFtAD9MUOQ88/P4egSXxJrQX0AH2xw9CXLYOFoPF9Sa0F9ADfGBSGvhtpumtnGiKoVmj9TuZatFkP0INvGPpBe1ZC80XpORqh9Zcy16KtegAL3zD0fEaD5m5YrQG92KH1R8k/9PywatFWPYCFTxj6FGct8IK1tUrPihlan++3mLkWbdUD9OAbhn4X6W+meUw64eKYmKH1eTXgbOZatFEPYOEbhp5/1j5M9hbpnHbtG1q/7pF5x8gd0j8nLdqoB7DwDUN/1dhJ5bQdpviRq31D66/kyLx7ni/ZMGvRRj2AhW8Yeh6Nvqmcti1ULH2PRZXQ+is5Mo/7x1sz16KNegAHPscBbJNMy1N4qxTTtkBxYglUDa1f98i8vdJMboIWbdQDZMTpRLWoTd0j87hW/B16QA8QH26SfiqpcTSpc2TeZiqinq2DHtAD6HCewq/gq0qdI/P+oOKIB+gBPYASPPD3J8WZc/el6pF5PEj5gZYvsIIe0ANEhufe56W5mQrfI/N4sI4HAiegB/QAaeC1BtczSCc30Y9Dj2bq8RWCnNDQyDPfEgAAAnR0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjIzNDs8L21vPjxtaT4mI3hBMDs8L21pPjxtaT4mI3hBMDs8L21pPjxtaT4mI3hBMDs8L21pPjxtaT5hPC9taT48bW8+PTwvbW8+PG1mcmFjPjxtcm93PjxtaT5kPC9taT48bWk+djwvbWk+PC9tcm93Pjxtcm93PjxtaT5kPC9taT48bWk+dDwvbWk+PC9tcm93PjwvbWZyYWM+PG1vPj08L21vPjxtZmVuY2VkIHNlcGFyYXRvcnM9InwiPjxtcm93Pjxtbz4tPC9tbz48bWZyYWM+PG1zdWI+PG1pPnY8L21pPjxtbj4wPC9tbj48L21zdWI+PG1zdWI+PG1pPng8L21pPjxtbj4wPC9tbj48L21zdWI+PC9tZnJhYz48L21yb3c+PC9tZmVuY2VkPjxtZnJhYz48bXJvdz48bWk+ZDwvbWk+PG1pPng8L21pPjwvbXJvdz48bXJvdz48bWk+ZDwvbWk+PG1pPnQ8L21pPjwvbXJvdz48L21mcmFjPjxtbz49PC9tbz48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bW8+LTwvbW8+PG1mcmFjPjxtc3ViPjxtaT52PC9taT48bW4+MDwvbW4+PC9tc3ViPjxtc3ViPjxtaT54PC9taT48bW4+MDwvbW4+PC9tc3ViPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48bWk+JiN4QTA7PC9taT48bWk+djwvbWk+PC9tYXRoPhwrlLAAAAAASUVORK5CYII=)
Substituting
from Eq. (i), we get
![a equals open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses open square brackets open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses blank x plus v subscript 0 end subscript close square brackets](data:image/png;base64,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)
![blank a equals open parentheses fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses to the power of 2 end exponent blank x minus fraction numerator v subscript 0 end subscript superscript 2 end superscript over denominator x subscript 0 end subscript end fraction](data:image/png;base64,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)
Thus,
graph is a straight line with positive slope and negative intercept.
Related Questions to study
physics-
The displacement-time graphs of two moving particles make angles of
with the
axis. The ratio of their velocities is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAADWCAMAAAAjDF19AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAANbW1vf377W9tWtrYykpKVJKUq2trYSEhBAZIToQUntapebWnK1azkpazkpahK1ahGtaEOac5ntazhBCUjE6GYycnLXv3rWUzjo6OrVaUubWc+Zz5uZac2sxUubWMeYx5uZaMWsxGealvbVaGRla7xlapZRaUubWUuZS5uZaUpRaGa3vWkrvWkqtWq2lWkqtGa3vGUrvGa2lGUoZ70oZpa0Zpa0Z74TvnHvvWnvvGXsZpXsZ74Tv3nulGYSU70rOWq2EWkrOGa2EGXuEGe/m7+be3hAQUoycjDpjGbWMnBBCGb3FxaWlnK1a70pa70papa1apWtaMea95nta7xBjUhAICGtaWrWU7wAICHt7c87OxXNrc0JCUjEQCDpjUhBjGVKM71KMrealEOYQteYpEBmM7xmMrRmMaxmMKRkpzhkphFKMzlKMjOaEEOYQlOYIEBmMzhmMjBmMShmMCBkIzhkIhFoQUtbWENYQ5tZaEFoQGdalnAhazghahO/WvbXmrXula7XF5q3Oa0qMa0qMKa3OKUopzkophK0phK0pzoTOrXvOa3vOKXsphHspzoTO74SlzhAZELXmjHulSq3OSkqMSkqMCK3OCEoIzkoIhK0IhK0IzoTOjHvOSnvOCHsIhHsIzoTOzoSEzlLv71Kt71KtrVLvrbUpUualMeYxteYpMRmt7xmtrealc+ZzteYpcxnv7xnvrbUpGRmtaxmtKRkp7xkppRnvaxnvKVLO71LOrZQpUuaEc+ZSteYIcxnO7xnOrZQpGRnOaxnOKVLvzlKtzlKtjFLvjLUIUuaEMeYxlOYIMRmtzhmtjOalUuZzlOYpUhnvzhnvjLUIGRmtShmtCBkI7xkIpRnvShnvCFLOzlLOjJQIUuaEUuZSlOYIUhnOzhnOjJQIGRnOShnOCFJaWnsQUvfWEPcQ5vdaEHsQGfelnClazilahOb3zntKe4SEpbXFlHuEUub3a+b3EDoQKeb3nOb3Qtbe79737973/wAAEP/3/wAAAGcW0TUAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAQOElEQVR4Xu2dW27qvBbHcS7GzgC2JQ/IVnUUXoOICZ3MGYEHmff9ciQQ6Cw7jhMg0BYSSLrz6y1U/b4NZvm/Ll52Fj9krZW7mmmQCSLucqYhRSh3lzMNFKFCuOuZGlEipAP3YKZGaoRmcbkiglGZxeUKkJZZXK7hZliQdI9mKqQdlVlcLiDVsMTu4UxFXA0Ldw9nKippQZtZXNqkJmoxzOLShrlRmcXlDIj8K2ZxaSEwQiVP1hpt5ppLgyw5CUt8UMty7341AwjwQCWW9udMm3AJwzJzSVgm87BcM1tLJ6cSz8W5a8RsLV2Ag56t5ZrZWjqZraUTGJbZWq6BuGW2lmvEbC2dLGdt6WD2RJ3MnqiT8HO2lg5ma+lk9kSdhLMn6mK2lk5ma+lkzok6eUlONL22oldoS/7f0F1NhhfELRHikzOX4a0lSCa45DK4JxIxYu5y/HirHtwTrdDaXY0YqaoBUfVYnD6HtZZAT2EKpVH1c78+nOzFwPWWkE+g04pt1yXN4YPkKK1+NbAn+juBRquQ+PYnVLhQYlhrSTd/puCbT3EcpfARRfVYDGotgtdGOXL2l6YxqCeKEXVXE0CcTqeQOeMeMici09lkEcWlZeceDxjlSjyZDVwk09iCamsZLsqN0Ye7Gj0lToUEVL21ajhtWaGyCo0mAK2H4+B+DmYtUuvhtLxvBHXPVXjJHcZaJhHeeoK/WwKkEXXh3FCeiKHSXU2B3AW5qHC/GMgTpRpPxTcbFM+ZIY7rOuIg2iIK5HLSaXCq9zzUz3qQnCjMp7aJ+JSuYGzkovadg+RE6WZie4hFrBNwntR7iSE6FiC8ndhGHIo4BkMJsB+XAbRlUhmiQZT0ZOtCvN5vNoC2QHjrrqZCyOQiN9Oe+5yod22ROJnaXjZB1cIYOPVvaO/WEpZo5S6ng4pZqaL8mNUOuvcod1rhbQ1ZHxONGsXtOyeC8Lb/OOgFiHS18pVcoF9PBOHthDLEa2pVFP3GLZMLbx0po/DB8qaW26e1pJvpNScYKMrw//AO+YCrV08keTbJfeaC8ygIAkVo3UXQq7VspxbeOqR3Qcrlin16IoI+J9f2VOGtRHpt6S1ukXiaU8jAUiEOYhHUVtNfdQ7C2+n091wQLE3FUnPvR/ur/E8zvLUInhW8AHCtjb1pi0r0JH2zQXK30Cd9qbUnaxHLCYe3Ir6sPPcV5dJJHwEZubc09J6oH2tREw1vKwRZU7aCj7xux+nHEx34ZlILIBeIz+Nml+lMeyHox1q2Ez9FNV5HZrGVeI3pxRMR34rXM4K8JkB0bbnNaVB9RLmHocLbqERbdzkwkqmFiBp57EFbxHqY8FbmGxT34ia/JMKQ5Iq08dM9aAtBS3fVKyuO+It0XHJcmneWenf6vLaoQaq3QXlE9FU+n5QyMMsVStdm/3TPvxhiAUQwjT5fM38MjCzssLCst+rcxwDt6xFHyStTiZSGe/j3JPbd1c9qizr+6fvgR5kj/SKprWFruo0YRmUdZzypLYIfe5ZFscKoeHnITM2BylnzZjwZt/S+AKJKlHy8Ib0ShEStgXgubol6PmlX5AmKnw0YHqb1bjylLZIfew1vQWoxeYOpLIheg1NmTUTwjLaEZa/t6zB/9MtClTNkkVgtiEv/zz9hLazH9vXTgR51+Vr/4yFOa1Nda/0T1TkIb/t7bwmE+m+rekI4Z0l3vsT9sLWEPTYnqBhp26X1HlQ1dyFgr1/R49rSX/VWmEDqrStvtGCBgtilSRUftRaF+ppCaYF2dQPFmwgp3iUb1Gjbo3HLAffkm2W8QXG9jed9SMZWdY0OeDTK7al6K8g7Qv1bSG8hD2pLT9VbE+qPofdDpCQCaPnc7rN+2tcF1ah8OGrqEblGWXbMIFusn81D1gKerIfq7VtDlTMYprSgDL7qKfBQdY700JxgpDZ/SO37h8CbbEaEeJV7pDrXQ/VWrBJUvDVUaUPAaKMVvFWFn0Tf0RZjWorU3bytYPBRTFY4ok3SpKCBgIgu9vcMvKUtqatbK/pBqVyErIw5rwaQPlu9lRQd41Hd44ZiulC71h0mb8Qtgm/sT0h8ENqki5SDxWPrlNXmyfB2PFLrsQ0cad6UNW5EuTnC9mdURJFZB6amCsfMnwr+3O7M91VVfkK3tqS51uZnWLgVArveFpljnp6s3tJ3Z4UXSBUIq50WvwrdqS0iT3FiLgjCS/simDERYzLPVW/fVpW8CT3qZJdojfQm05utH6Aua1nRBbbW8sEROlrrWGMS8ei56q3Mj2jbKfDvQ/EijuOyOqakKl0auqpzKt8vEnvAy0kImqG/cCXIlsL4PRHejitU8bSNN/QPurSFgnOurMWgWkdrQHjrzeyHgNRiH1uPiLMp7R90eKLI5LSJ1RYL9a5HPny2noSsMB6fqXgkoezMbq6sRRbRQQis66NMFgLXE+fh3luQ2rGFKmeAf0Qo441AXHsixbcgQhmK6z8Sf2ov/WB4G5Qa0fcX4G5DECoJYTn2LSnXUa44BFLKRPtSVepq8gHq8OVfEzI8RqltE7tZkHo/eauWqzP4JkiqpKSVsUA+8EB4K6NC+0k4VmjhlgFzMJHQGMGtDLow596EMeY5qf6Tx5aFCB63qFQIVlmzMO+fslZwY1XRCa7X3YeC/nQkpdqviGK+zYFiCd9K8zZ+q94CPLBnVbDduPKfm1CU1TcMR8hWqb+5TgQOu24r+y7E5D/ueuSoXO1VmsInYIL5rzoW3KT7+ZEs+xGVar+mPRFsg/v9Wq7S1Wj8dFlIrPTYnXKbvQTTEJQ2z/j+qqI62p57iGJ+9BrVJ9qN3Sm3CGnxcZIw511VFri/TpRq635+ljdLULD1lG5HLsxRWTGKBWk6BO5qi8rMsLAfLQuNsFT7BWb3s7RV2vpoyy+6oay1qJ/kzapEm/GXas+RkDsXZkJI/8xhEt2xllRvf7ZndWyl2u/BltxMCMm9u73vidKM/iRvNqVa1luX4esIyRrsRFUBruW+tQSafntZ6HTI0fHFvfqDcT/KTbOYZ98Lb00Dz6u2RQ2GH4q7OdEpSJJvhrd2VcxdTwlaSgg+TZ5YZ4mW+3GLyr53Jv1h5KXa26wRPG1/swyzxmG5H+VG6Ftn0tuscIJSCxzMm8niKlFkUZ3i3NeW5XduLiRLjd7Ya9wD/mDyxgbuacsKfV17Mr3Gpp1hyki5l9bYvcXfi1tUkh2/klFVIL8ddKLIvMAYl6t2jeCOJxIlyqtU8SaSbjbrO5NwCpAEtNYU59ov5I4nomirmsXqLl64g3sw1AatWZQSCvF/I5C3PZHZFxNATnSTYIJZ4RUnrl2wss9b5ZOb1nIwe1arwkInYppZ4SWyteF6vWzk5Za22AWQYHNjWMK0OO6mmBVewlp5sGx2j96qtxDE4UWbDLoLuUWbfMyryt+mOcMe2HqhvJFBC2y3fatObfkVWaGjWv5wlP5Fdcct4JutmXRai1krnMwNmb5i27YW5osF3dZCNtWtVzqs5ZdIbU3J7ZYZQ0pa2tLliXxf2LW1TGit8FusUZaYj12S6ayxkM64xTf1B5tzaxnTto5+KHlcLsslfJYlbiykK25pqrfn1nKA+eP3UPwSzo4qq5eWYViu4xYIb2NnLWfaonhzVvWvoT6t0RL4B9facuCILVFs/6JlLTJHR9zPvs3R0gpPr6wlR9uFWlaBSaMtZq0wCooBTjwaJVf3J4LwFgxFUJTAuLg1aFPAPpqsUNrFt3+AS23xN+UlWbayq4rwN399qCJ59pvc800utcWFtwDRGQmMtkQcaV/AHuaUufFxbi3E31kQZlCS0SQXeXZWwGZfti8IlU5+5M4zaHXWWZxqnRUgtefLisv27rMDxMzuckFWdoAPecGLqc+0c20p0WfbNkiGUEIvqiqyOc5jIc1B8DbsPR1iXhZGj7fgrPLJ3dDqgrMol6F1GBW+pnmiGl0Fe8aD195IxiXNsX0o4kQuWBYt9uYgIelPhp8qLWtRmRkikbt1H7Otg3c0zUldL8DaJblIm2GMjFSf/hTufhxNp8g0aWkL+OZKEnJjIzLOEBVBV4tlXKuLnV7CWkZs1nIXeaYWGCaRmHqW3dKWJkNkiFN8tDZDO9IgdRbrMqNForBq8hf+mmImTR/ApGnilujY9PeUCLltHaKVbdcI7n93IqV1VFJbHbbnRa0Knv+oi3eEeGtp3ZTXnKvSspxrc6G+mw5GFe2sxnIzUuy35Ey1Jwpjnx1DVljAlxskeMHeiGqsvjoENV1kYC1mIWDa94ZoUVfnoo3b9h3ECFG5CHyQT69PTxa43QxUQhZ1qOZVl2lNEqctgTvVSHwk7lwir7VKX0X7omjfXp+BEwpLe6Z97m9jOXGctpRVf1RaZIlraGi0dulPNfHk/hAlgBpZYdamln2dRfduKm1hdtu33ILS+tflJ0QjsB63NVqYKp8ozN8JvjSa81uqMTCJgkWwMy1yF0fAeXPpmEWsGinIt1kUVyob8Xy1/CV+yFmL2Z2pzL7Cs3Ajr50R1xfZYm1J4qNc51aTgCBeTjy0bRF+YgHRxolptG7phSFF22pGlVfiQrLfMltuAJK70pgVHWuFEMxWw5L74+9ryKsdcUpf6+JOJeYI7zo7SLc2/YNo/so2Kr/zQgqkccnOFnUGRawRQpvutUInrItUX0ppfu2chuUDnqW58WFO5EvaagRkhbc2iym3HCL05S1lVnVM8zLMu2eBoYma1b+hMDsXWdXIYDoa4Mt/RiwzXQ7E/ITvzUdEyNb/1fnnUB9R7kbFAvOpdYulQTj79ybEwJq/p3GFObUFvvwnfGUavsFlgt2vDK1LwD46/zCfvWL+l34TRwVfD+SZhFJfbsoNXKimXq0k11A3HoCZQgM9IbXlefHHhWu3uYxu30bqjoaAIVHVroUBEDmmByGI/nxZIPAkBUIZLqgSA75RonQN3e127nGzKvKhfY/I66g1zfq9j86kifziepT5Q/f+efwqmcn4quNfZ8xY+Jmznc76hRo6g86bsXjyROBhIZSxj78UvnK5EIVdhxqQpv2t2gUyUgQvV/+h2ZIQajZDDm4ty3q71akRmRESmiPyqhx+9YowIndZ1qlZRxwlxjyqs6lE8IIlbZXZ3oyQthY/xkrqt5AKW5lTp4VK4ULWSVEQ1RX2p2FZmUpSTOGkovpmZCLmJYShnEeE4iJYsQIbYwrKfIt727CvIFOn5P1Z8dfUG44FQzwEF4HIXuSoVFJiLCCJoQIe9ld5aY6qHDdpffiJwCbYstuciP0dR7K670CK+GG8/nQYvLYIbtpJEjMskf5r/BQMS64pkDSnxf0r+BsdOmvZ7cFadmajpLGWgkdplKrWLcv+Eby1hNZa8MZYizlrFqxlv4ir5b3mjmX/CpfWksA4RPYEEGMtVe+VpP+atpzSjWudDhMjrzoDGVmZAw4ER4FZzFkyZvtI/iXkimc4twFKvNGlotkmTlOcJSTItblvtOJI7662JP92BFmRld2yLQkhTMG3VRrA76KAwSWYD/zFZdfAzMzMzMx7WSz+D9PIkJRKO3CJAAAAAElFTkSuQmCC)
The displacement-time graphs of two moving particles make angles of
with the
axis. The ratio of their velocities is
![](data:image/png;base64,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)
physics-General
Maths-
The minimum and maximum values of 3x are
The minimum and maximum values of 3x are
Maths-General
Physics-
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,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)
, ![C D](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAANCAYAAACzbK7QAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAARJJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIim7gcQ/0fCX4B4FRDLM+ABJUC8BYhtgZgJKiYLxAVAPB9JnQrUATAAUisJxDlQBwVhM7wciGczEAcCgHgpDrlQIP6E5EAwUAPiu0DMQqQF9VDf4gKg4DJFFuiBBgOxABTWfnjk9wKxC7LANWi4EgtuQcMcF7gPxKLIEfSDBMOZoEGAC3AB8UtkATZopBALzKFBgAvEY0ssX6A2EwMigXguHvlLQKyHLjiXQKpABpOAOBGH3AQoxgCg3PcOiCuRciwHEPtALUdOEeuA2AMtiN2AeBsQT8PnMlAqWgiND1DW/wDEa4DYC03dO6Ti4Q80QkGZzpKB3gAAo5Q2qtpORIkAAABTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPkM8L21pPjxtaT5EPC9taT48L21hdGg+ImzGpgAAAABJRU5ErkJggg==)
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,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)
, ![C D](data:image/png;base64,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)
Physics-General
Maths-
Extreme Values:The range of ![f left parenthesis x right parenthesis equals negative 3 cos space square root of 3 plus x plus x squared end root](data:image/png;base64,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)
Extreme Values:The range of ![f left parenthesis x right parenthesis equals negative 3 cos space square root of 3 plus x plus x squared end root](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMEAAAAYCAYAAABDc5l7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAU2v5G4wAABAlJREFUeNrtW11IVEEUvkgsEiGIiokEEiEhIoKImUVEPUSIiNCDD5FhhISEbxEEBT4kBibRm0UPEb6IREkEERYiIokI2Q+BRA9RICgUlJhh5+An3GZn7p3ZnV3v3Z0PPnZ35t6ZO+eeOXPOmVnPc8gFFBI3HVOmQw7gFPGNE4NDPuM28aYTg0M+4wPxkBODQ76iirhK3OVEIcW2379OnCYecCLJPfQSR50YQlFAvEScT7chbmTA8J4B3OeQGTwldjkxaGPNZNaUC2V1xJkUO57G/Q52wS7QT+JeJwotHCO+1rmQ020r4KLP12RFrk+x8wbiVEQFc5z4jPgLVuITcZhYEoOXGpQajfO4MoEK6PB+Hcvy1afsNfisRwPpYAqTIWqYJHYQE74yHu/zGLzYW8T+HByXbVQTJzARQtGhCLIGEYClg8spxBM7iR8xeEZOjR7J4LiyvZuaif4qsCIW6d5wnXhFUs7W46ikvFuh2P2o86OZ+DImE4CXzI+S8hb4lOxefCGeFepbie+9rXQcf7Yp2p6Em5LOtn2VZ54aVY3LhlKa6EI2++MJcFC30XHv//MUnYL1SCjumxeC6PPEu5LrEgFWKCrnO8rx/Ow/nxbq2JVYJrYjccBL7CNffRNxiViL37X43Sy0M6eYHEEolZT1ePqp0aBx2bTMurqQzf6MdYmtxD5J+UZIcDaE7ydDrP16RC2/KKQ+yTVjcOlUGMNKIK4Mj4UyXgGKNZ+LN3Ye4JkahTqd1KjOuGwqpYkuRKG/JBTgBXmGk4DxAumnhZDsw3oWFTmV1aQYln4W4xF96aIQXzuhsfq1I8nQqfE81zAJvgsBbSFcId3UaNC4bMtQVxd2or9QNMFX1X3BfvRBwYP2AuLgDm1jDxTGxEptGkx8bn8EcUO1xvOwfH9D+bet3ltL47IdqOroQlT6S0InrI5qtrUo6lrgCgyFWLc4Bcael7yzuGxpJfDjqqe/jf+HeAHfOTV6w9K4bCqlri5Epb8k3CFeVNSpUqScbXhC3A0rMxewJPWinTigDkGkHyMaMUGbxPUZD3FBdV3EV8R3+J7qqVHZuGwppYkuRKU/aXZIlTmQbZaVIf1UIgSCDxVtRHWzjFOeZ7ytVCMrJe+0fiaekwid06IduK6SeN9X34hsUI1P4ZYCVlBGd4ALKuIE8S/xMPGbF54a1R2XDaU01YWo9JeEFZ/PKcOMz+9KYNJUSq4bRdTuR5SPTfD+xwTchDUoZWuAMZhFomBBYvlbkWFj676IlUAV/2zgRVYYPOsq2h+1PK50YKoLke2vDNYlbCl1B+h2FvcwgbqcKOxiGNZF50hDj2d+9GEwINZwMEM5JkGpE4VdNMDPdYgHepwIHPId7m+UlvEPqQeJ3GSaTf0AAAD/dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPmY8L21pPjxtbz4oPC9tbz48bWk+eDwvbWk+PG1vPik8L21vPjxtbz49PC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj4zPC9tbj48bWk+Y29zPC9taT48bW8+JiN4QTA7PC9tbz48bXNxcnQ+PG1uPjM8L21uPjxtbz4rPC9tbz48bWk+eDwvbWk+PG1vPis8L21vPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjwvbXNxcnQ+PC9tYXRoPgnzBkcAAAAASUVORK5CYII=)
Maths-General
physics-
What is the equivalent resistance between
in the given circuit?
![](data:image/png;base64,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)
What is the equivalent resistance between
in the given circuit?
![](data:image/png;base64,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)
physics-General
physics-
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
physics-General
physics-
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUgAAAEPCAYAAAAgSV3nAAAgAElEQVR4nO3dZ3Bc13338e82YBcdWBC9EL2zgCAJkmATiySqWHZGlm1NpFj2aOKRE9sZx8mLTMaeZCaZ+EkmieO4SIkyiaOxotiyRKpQIkUSAAEQlWhE770QHdhd7O7d54UGG4LEohEgscT/M8MhuXvPrbu/Pfecc+9VORwOB0IIIe6hftgrIIQQW5UEpBBCuCABKYQQLkhACiGECxKQQgjhggTkNiADFYRYHwnIbUClUjE3N8fQ0BBzc3MPe3WEcBsSkNtEU1MTb731FvX19Wsq56r2uZpaqdRchbvTPuwVEJvL4XAwOztLZWUlH374IWazGQ8PD1JSUtDr9SuWV6lUTE9PU1FRwfz8PEajkYSEBAICAlZV1m63093dzcDAAFNTUyQkJJCUlLQRmybEppOAfMTNzc1RW1tLdXU1DQ0NWK1WtFot4eHhqwpIgJ6eHn7xi18wOjpKZmYmL730Env37l1VWYvFQkFBAVeuXKGnp4cXXnhBAlK4DTnFfsTNzMxQVlbG3Nwce/bsYXBwkPz8fCwWy4plFUVhYmKCxsZGurq6KC4u5r333qO1tXXVy1epVJSXl3P58mUaGxtpbW2lt7cXm812P5slxAMhAfmIGx8fp7i4GLvdzpNPPom/vz9dXV2MjIysWFZRFG7evEldXR1+fn7o9XpGR0fp6OhgeHgYu92+4jxu375NV1cX4+Pj+Pv7MzExQUVFBWNjYxuxeUJsKgnIR9zQ0JCzxnju3DmOHj1KYGAgtbW1dHR0LNuR4nA4yM/Pp7a2lmPHjvHSSy/x+OOPMzAwwOXLl5mdnV122b29vZSWlqJWq8nOzubcuXN4enpy5coVhoaGNnpThdhwGxqQ0mu5dTgcDkZGRujq6kKn0xEWFkZcXBzZ2dnExsZSX1+/Yo92X18f9fX1TE5OcvDgQZ5//nnOnDlDd3c3H330ERMTE8uWb2pqoqSkhKCgIB577DHOnTuHl5cXxcXFdHd3b+TmCrEpNjQgVSrVRs5O3Ae73U5lZSUtLS0cPHiQXbt2AZCWlkZGRgbNzc3U1dWhKMqS5fv7+6mqquL27dv4+fmRlZXFoUOHOHbsGMPDw+Tn5zM4OLjsOjQ1NVFZWUlsbCxPPvkkx48fx8/Pj5aWFtra2piamnK5fCG2gg3vxR4eHubSpUvU1dUxMDCAw+FAo9HcM51KpcLhcLgM1btfX034rrXMapf9IJax8P/72Sc2mw2Hw8HTTz/NwYMHKSgooLKykkOHDpGSkgJARkYGQ0NDvPXWW3h7ezMzM4O/v/89y2poaODKlSuEhoayZ88efH19AYiMjCQrKwur1Up1dTVBQUEkJibeU35iYoLW1lb6+vpITk5m3759qNVqYmJiyMzMpK+vj4qKCnJzczEYDIu2oba2ltLSUsrKyrBYLOh0umX3yZ1nLktNt57jvJHz2KrLX+79O19by2dyudcVRUGlUjk/A/v37ycwMHDZdXvYNjwg+/v7+Y//+A/Ky8sxm80AqNX3VlSXC8jVhNBqDsxKX6qNWPZa12Op5a52+1YqNz8/j6IoREdHs3fvXubm5tBqtezatYudO3cC4OHhQUJCAoqiMDQ0RE9PDwaDAQ8Pj0XzunXrFhUVFTzxxBMcO3bMeQy9vb05duwYKpWK0tJSDAYDCQkJi9ZlamqKhoYGRkZGMBgMxMXFOX8kk5KSOHXqFG1tbeTn57Nr165FATk6OkpBQQEXLlyguLjYOW5zuX2ynoBcy4/geue9sF4bsfyNWqcFa123jVj+QkAGBQVx4MABYmNjt19ATkxMUF1dzaFDh/jBD36ARqPBbDbfExJ3WqntcqnpVzu/u79A97PM5ea51vnd+frdX6j1zlNRFBRFIS0tjcDAQL71rW8xNzdHVFQUfn5+zum8vb3Jzc1lenqa0tJS9Hq9sxZosVjo7u6mubmZyclJMjMzOXDggHMdVSoVhw4dYnp6mr//+79Ho9Hwta99bdHxGB4epqCgAJ1Ox7FjxxZ9CZKTk5mdneXy5ct0dnbyyiuvYDQagc97vGtqaigqKiIuLo4//dM/xWAwOIckrXTcV7vfViq7lmW4OnZrWZeHvZzVfF/WsgxX03t6emKz2fjZz37GpUuXePnll51nNlvVhgfk/Pw8Y2NjxMTEcPz48Y2evVjG3R90VwOyDQYDubm5VFVVUVRURGxsrDMgx8bGuH79OuPj48THx7Nz5857asOxsbGkpqai0WgYHBykubmZ+Ph4Z02vr6+Pzz77jNjYWE6cOEFQUJCzfGBgIKmpqfj4+NDX10d7eztRUVGoVCpaW1uprKxkfn6etLQ0zpw5sxm7STxk//M//0Nvby8mk+lhr8qKNnyYj1qtxsPDA6vVutGzFqu0UpuTwWAgJyeHoKAgSktLF/UoDwwMcPHiRbRaLU8//TQ7duxYch7R0dGcOHECHx8fLl68SHt7u/O9rq4uCgsL0el05OXlOWuICwIDAzlw4ADx8fGUlpZSV1cHQE1NDVVVVaSlpZGWliajIh5ROp0ODw+PJZvetppNW0P5cD94KpVqVY32np6epKamEhkZyezsLAMDA0xOTmKxWGhra6OhoQGj0cipU6cICQlZch5BQUGcOnUKX19fzp8/T2dnJwDd3d309fURHh5OXFwcwcHB96yTp6cn+/fvJzk5mRs3blBaWsrU1BR1dXW0tbWRnZ1NTk7O/e8QsSW502iXrR/hYsOpVCo8PT2Jjo5mx44djI+PU1lZSVlZGW1tbdjtdmJiYkhISLin82aBl5cXhw8fJjQ0lJqaGnp6ejCZTOTn5zMwMMDRo0dJT093uQ579uwhLS2NtrY2ysrKaGpqore3F7vdTmZmJkaj0a2+SGL1Ftp53aEStSk3q5APtnsICwvjwIED2O128vPzmZ6eZnZ2lqNHj5KWlrZsWa1WS1hYGKmpqSQkJDA4OMjHH3/MhQsXUBSFM2fOkJCQsGRZtVpNZGQkKSkp+Pn5UVdXx9tvv41Op+Po0aPOIUXi0eRO+SA1yG0sNDSUvLw8LBYLly9f5tKlS0xOTnL69Olla393Sk5OJi8vj8HBQd59910qKytxOBxkZ2cTFRW1bNnIyEjS0tKYnZ3l0qVLztN6b2/vjdg8sYWttjnoYZOA3MbCw8PJzc1lbm6OgoIC6urq0Gg05OXlrRhuC2JjYzl79iwjIyNcuHCBqakpIiIiSEpKwsvLa9myPj4+nDhxgsjISLq6uoiMjCQvLw8fH5+N2Dwh7pvcD3IbU6vVREREkJycTGZmJjt27GDfvn0EBweveh5BQUFkZWWRkJBAW1sbiYmJ5OTkrOo02dvbm5ycHKxWK5mZmRw9evSeHm8hHiYJyG1Oq9Vy5MgRfH19CQsLIzk5GUVRVj0EQ6VSERYWxvHjxwkODiYlJYXU1NRlL09b4OnpSWJi4pKXKgqxFUhACjIyMoiOjsbLywtvb+8lr51fSXZ2NomJifj7++Pj4+MW7UtCrEQCUmA0Gu/71DYkJMTlmEkh7uZwONximI900gghhAsSkEKIB85dmmA2PCDdZXyTEEKsRGqQQogHyp0qUBKQQogHyh06ZxZIQAohhAsSkGJJ7vQrL8RmkYAUS3KndiIhNosMFBcMDg5y69YtCgsLCQ8P56WXXsLT03NN82hoaKCqqoqWlhZGR0dRFAV/f3927tzJ/v37SUxMlNuYCbcjASmor6/n7bff5vXXX+fgwYN8+ctfXnVAWiwW+vv7uXbtGp9++inV1dX09/djs9nw8/MjJSWF4eFhTpw4wd69e+VWZmLFB5BtJXLD3G1udHSUy5cv87//+7/A58+rWcvxKygo4M0332RqaoqwsDD+/M//nJCQEObm5mhoaKC6uppf/epXVFRU8L3vfY89e/YsesKi2J7cJSM2rQbpLjtgO+vr66OwsJC+vj78/PwYHx93+YiFu9ntdsbHxykuLuZ3v/sdubm5HD58mGeffdZ5XXdTUxP+/v5cv36da9euOR8Un5WVtZmbJcSGkU6abaysrIx//dd/xWg08kd/9EcEBgau+lGcc3NzVFVVUV1dzdzcHIcOHeL3fu/3Fj3iNSUlhS9/+cscOnQIjUbDtWvXqK+v36zNEWLDSRvkNjQ/P+98gqDRaCQlJYXw8HC8vLxQFGVV85idnaWiooKBgQGio6NJSkpa8tQ5NDSU7OxsOjo6qKmpWfR4WCG2OqlBbkPj4+NcunSJ0dFRnnrqKdLT01EUBUVRVt1wbjabaWxsZG5ujoyMDEJDQ5eczmazkZKSQmxsLIODgwwNDW3kpgixqSQgt5mFZ1+Xl5djtVo5ffo0RqORnp4ezGYzarX6nvbjpULT4XBgs9lQFGXZ9maVSoW3tzcGgwH4PDCFcBebFpDu0IW/3SiKQk1NDVVVVQQEBLBr1y5iY2Px9PRkdHSU+fl5NBqN85nFXV1dzM3NLRmAarUab29vPD09V7z5qcPhQKvV4uHh4QxKIdyB1CC3kdnZWd577z2uXr3KH/zBH/DSSy8Bn9cq7XY7gDMgL1++zD/+4z/S1ta25Ly0Wi1Go5GAgIBln1/jcDiYm5tDrVYTExOzpgeCCfGwSSfNNjE1NUV1dTVFRUVUVVWxc+dO6uvrmZmZob29ndraWubn5+no6OBv//ZvaWtrY2RkhJmZmSXn5+npSUxMDDU1NbS1tTE5ObnkdA6Hg+7ubqanp9m9ezdxcXGbuZlCbKhNGygu4yC3ltHRUerq6pienmZiYoL/9//+35LTdXR08Nd//deEh4eTl5fn8pRYr9eTkpLClStXaGxsdNn5Mj8/T0NDA2NjYzz33HOkpKRs2DYJ9+RO+SA1yG3CaDRy9OhRwsPDGRwcxGazoVarURSF9vZ2qqurKSgoICYmhldffZW4uDiCg4OJiYlZcn4+Pj4cOXLEOVC8v7+fkZERgoKCFj0VcWJigpaWFmZnZ9m/fz+ZmZnO91bzaFghHiYJyG3C398ff3//RQG1oK6ujrfffpvi4mJ27tzJD37wg0Xv3x1kC6fdPj4+ZGVlcfjwYWZnZ7lx4wZ5eXkEBAQAn4djW1sbOp2OmJgYdu7cic1mY2RkhMDAQPR6/SZusRD3TzppBHa7fdnTnjtfVxSF4uJi3nnnHW7cuEFcXBw/+tGP8PPz4+LFi4yNjTmnraiooKCggHPnzvGNb3wDnU7Hb37zG374wx9SW1u76dslxP2SGuQ2Nzk5SWVlJcXFxczNzdHX18cnn3zCwYMH8ff3v2d6h8OB2WympaWFsrIyAgICCA4OJj8/H5PJxDe/+U3ntNXV1bz77rtkZGQwOTnJzZs3aWpqYnJyEovF8iA3U4h1kYDcxsxmM729vRQWFvLZZ58Bn3fmvPXWW2g0Gk6dOnVPGZVKRXR0NDdv3uSNN95gZGTE+V5UVNSigeCDg4PU1NRQU1PjfG337t184QtfICQkZBO3TIiNsWkBKQPFtz6tVsuOHTv40pe+5Oxd9vX1JTw8nJ07dy5ZRqVSERMTw9mzZ/H19eX27dt4eHhgs9mIjIwkKirKOe25c+ecN8l1OBwoisLOnTvJzMx0eWmi2D7cISOkBrmNabVaQkJCeOqpp3jqqadWVUalUhEUFMTBgwc5ePDgktMsdOqcOHGCEydObOQqC/FAbUonjTuNcxJCPHjukg/Siy02nLt8+MXD4U6fDwlIIYRwQQJSCCFckIAUQggXJCCFEMIFCUghhHBB7iguhHgo3CEjNjwg3akLXwghliMDxYUQD5y7ZIS0QQohhAsSkEII4YIEpBBCuCABKYQQLkhACiGEC5sakO4wzkkI8XC4Qz7IQHEhhHBBxkEKIR4od8oGaYMUQjxw7hKSEpBCCOGCBKQQQrggASmEEC5IQAohhAsyDlIIIVyQcZBCiIfCHTJi0wLSXbrxhRDClU0bKC6EEEtZuJDEHXJCOmmEEMIFCUghhHBBAlIIIVyQgBRCCBckIIUQwgUZKC6EeOAcDodb5IPUIIUQD5w7DPGBTQhIdxnfJIQQK5EapBBCuCABKYQQLkhACiGECxKQQgjhggzzEUI8FO6QD1KDFEIIFyQghRDCBQlIIYRwQQJSCCFckDuKCyEeKHe62k5qkKswMTFBX18fZrP5Ya+KEOIBkoBchbKyMn7961/T2dm5pnKuhjGsZnjD/ZQVQmwM7WbO3N2/zIqiMDIyQklJCdeuXcPT0xNFUUhOTkarXXnXqVQq+vv7KS0txcPDg6ioKBITE/Hy8lpVWZPJRHNzM0NDQ9jtdnbt2kVkZORGbJq4D2NjY/T29hIaGkpoaOg979vtdjo6OrDb7cTHx6PT6R7CWoqNsKkB6e7Gx8eprKykvr6epqYmPvzwQ3Q6HTt37lxVQALU1dXxz//8z3h4eHDkyBFefvllYmJiVlV2YmKC999/n7KyMgC+9a1vSUBuAd3d3bz//vscP358yYC02WxcvXoVs9nMSy+9JAHpxuQUexkLtUe9Xs/u3btpamqipKQEtXrl3Wa1Wunt7aWpqYnh4WEKCgo4f/48Q0NDq17+9PQ0V65c4dNPP6W2tpa2tjYmJydRFOV+Nkvcp66uLt5//30aGxuXfN9qtZKfn8/ly5eZm5t7wGvnPtzhDFMCchn9/f0UFxcTEBDA448/jk6no7e3l+Hh4RXLmkwmiouL6ezsJCoqCr1ez/DwMB0dHczOzq744XA4HPT19TE8PIzNZsPb25v+/n7q6uowmUwbtYliHSYmJrh165bLz4GiKHR0dNDS0sL8/PwDXjv34Q492XKKvYzOzk5KSko4dOgQzzzzDJWVlYyOjlJaWopKpSI6Otpl2bm5OS5dusTMzAznzp0jKSmJgYEB6urqCAgI4OTJky5PvRRFoaqqiurqahISEkhMTCQxMZHJyUmuXLlCfHw83t7em7XZYgUajQa9Xo9Go3E5jaenJx4eHm5RSxKubVoNUqfTuXXbS2dnJ/39/QQGBhIREUFsbCw5OTns2LGDsrIyWltbXZZ1OBx0dXXR1NQEwLFjx/jiF7/IgQMHqKqq4urVq9jtdpfl1Wo1lZWVVFdXk5KSwrPPPsvZs2eZmpri6tWrazpNFxvPYDAs2watUqlQq9V4eHhgMBge4Jq5h4VccIcfj00bKG6z2bDZbJsx+003PT1NUVERo6OjnDhxgvj4eFQqFdnZ2cTGxlJdXe0yIB0OB62trVRXV2M2mwkJCSEzM5PHHnuMffv20d7eTllZGVNTUy6Xb7PZqK2tpaWlhfT0dB5//HEOHz6MoijU1dXR2dnJ/Py8W3zAHkVWq3XFwc5qtRqHwyHNIUuw2WxuM1h8w0+xtVotWq2WCxcuMDExgU6nQ1GURTvj7h2z8P+7/15q+pWmWe9yHA4HarUaPz8/FEWhsbERf39/jhw54jyVzs7Opr29nf/6r/+iubkZk8l0Tw1BpVJRUVFBWVkZaWlp7N2711nbiI+PJzU1lbm5OUpKSti/fz/h4eGLyttsNtrb2+nv78fhcJCWlubsuU5PT6enp4fGxkYiIyPZt2/fkh+yvr4+rl69SklJCX19feh0umX3y3L7aj3TuyqznnIbPV+73Y5KpWL37t1ERERQWlpKb28vnp6ezi/tnX8WyqrVametsKamhvn5eTw8PJZcF/i8lllWVsb3v/99AgMDF30HllrOnX8MBgMqlYqhoSFmZ2edp/Kr3ca17MP7ncdalrWQBRcvXkSj0SzbRLFVbHhALnyY+vr6+PTTT12G0npDcqPfX/hbURTUajVGoxE/Pz8cDgepqalkZ2cTFhYGfN6uFBMTg0qlYnh4mPb2dhISEtDr9c7lmEwmbt68SWtrK1/+8pfJycnB4XCgUqkIDg7m2LFjVFdXc+nSJby8vO4JyP7+fqqqqrBarURFRS1q58zJyWF6epq6ujq8vLzYs2ePs6ayUGM3mUy0trbS0tJCYWEhDQ0N6PX6dX2g7/7/esJrvctTqVTO/Xa/87qTzWZz7jOz2UxRURFNTU0YDAbn6ISlQkutVqNSqdBoNIyOjqIoyrJfcJ1Ox+TkJNevX0en0znLLxfAC/8OCAhAq9XS0dHBxMQEWq1204Jsqdc3a1kL+72jo4OwsDCXP3ZbyYYHpM1mw2q18uSTT/Jnf/ZnGAwGbDbbkqeDC6+t9r27p1tN+eXK3T0PlUqFv7+/swPEx8eH4ODgRbXEwMBA8vLy0Gg0FBUV4evr6xzXaDKZaGpqoqWlBZPJxL59+0hPT3eW1ev1nDhxgvHxcd5++20SExM5ffr0onXr6Ojg+vXrhIaGkpGRsSh89+7dy9TUFOfPn8dqtfLqq6+i0+mw2+309fVRXFzMJ598Qm5uLq+++irPP/884+Pji4YlLXdavtx+Ws3/l3t9tdOuZhlrvcroztcXhkhFRkZiNBo5e/YsMzMzzkBemH6pPyqVCr1ez/nz53njjTewWCxLLg/AbDaTmprKj370I+Li4pzTLiz/7nkriuL8t6+vLwaDAZPJ5Dyd36h9tdJ37e79sNr53flj5moaT09P7HY7P/7xj6msrFy2HX6r2PCAXDjI8fHxHD9+fKNn/9AtBOSNGzcoKChg3759zoDs7e2luLgYRVFISkoiKipqUVmtVktqaiqJiYlYrVa6u7sZGRkhODjY+eFqbm6mqKiIp556iqNHjy666iYkJITk5GS8vLwYHx+nubmZXbt24XA4qK2tpbS0lP7+fjw9PYmIiCAiIuLB7Rg3cueXeT0D77u6upw/THfXchcoiuL8rCw1mHw7+81vfkN5eblbjOfdtF5ss9n8SI4BCwoK4uDBg2g0GkpLSxkZGXG+19rayuXLl4mIiODJJ59csn3S09OTpKQk9u3bx8TEBB999JGzV3p2dpaWlhYaGhqIjIwkOzt7UQ0SICwsjKNHj2I0Grly5YrzkrYbN27Q09PDmTNnyMrK2vwd4cbu99TuzlB09SVXq9UoisLk5OR9LetR5E6dizJQfI0MBgOJiYmEh4ejKAq9vb1MTk46w62+vp6dO3dy8uRJfH19l5xHZGQkjz32GGazmQ8++ICJiQkAqqqqmJ6eJj09/Z7a5wIfHx9nreTy5ctUVVUxOjpKXV0dExMTHDlyhLS0tE3bfoGzPXHhbGkpKwWocA8SkOug1+vZuXMn0dHR9Pb2UlRUxM2bN+np6UFRFOLj4wkPD3c5Vm6hs8ZgMFBdXc3w8DDDw8NcuXIFm83G2bNnXQakp6cn+/fvJzo6moaGBkpLS6mvr+f27dv4+vqSmZm5qpthiPVbqEEuVxNd6X3hHjblSprt8MGIi4tj//793L59m08++QRPT09mZ2c5derUslfYwOcBm5SURHJyMrW1tTQ3N9PV1cWHH35IUlISx44dc9l+qNVqiY6OJjk5mcDAQEpLSxkbG3MO+1ntTTTE+tntdiwWCw6Hw+X+np+fx2q1yvFwwV0yYsNrkK66+h818fHx5ObmMjo6yieffMKnn36Koig8+eSTxMbGrlheq9WSkZFBZmYmtbW1fPDBB3R3d+Pv709WVhZBQUHLlo+NjWXXrl2Mj49TUVFBamoqR44ccYuxZe4uKiqKJ554gtTU1CXf12q15Obmcvz4cZfNLMI9yM/bOi30fr7++uvcunULlUrF0aNHOXXq1KpPcTMyMhgfH+fNN9+krq7O2Uu9mt7nHTt2cOrUKQYHB+np6WHPnj3k5OS49eWd7uLgwYNkZWXd04G2QK/X873vfQ+Hw4GPj88DXjuxkTYtIJdrwH5UBAcHs3fvXkZGRggICGDXrl1rav9bOC3+7LPPsFgsHDp0iN27d6+qbEBAAAcPHkSlUjE6Osru3buXvbJDbAyHw4GHh4fLfb3QPnlnzdHVUCCx9UkN8j5oNBrOnDlDcnIyvr6+pKSkrKm8VqslPj6ekydPkpWVxaFDh0hISFhVWYPBQHx8PPHx8etZdbFOKwXdaq4mEp9zhwqUBOR90Gg07Nq1i6SkJHQ63bp6jz08PDh58iTz8/MYjUbpgRZiC5GAvA8qlYrAwEACAwPXVX7h1EseoyDE1iTjIB8iOfUSYmuTgBRCPFDuVDHYtBvmutNOEEI8WO6SEVKD3ATu0DsnPrcRx2qtt1+7n/fEg7WpnTTb5UDPzc0xNjaGwWDAaDSu65fRZrM5b3phNpux2+3OO1h7e3vj5+fnvOu12DgLN52YmZlhcnKS6enpReMWAwMDCQ0NXfG669nZWfr7+1GpVPj4+BAUFLTsuNSF+c3OzjI9Pc3U1BQGg4HIyMhVPVZYPBibOlB8O7BarVRVVfFv//Zv7Nu3j9dee21d8xkcHOTdd9+loKCAuro6Jicn0ev1xMXFceLECc6dO0dqaqoMA9ogd4agyWQiPz+fd955h48//th5t3BFUXj55Zf5y7/8yxWviCkrK+OP//iP0Wg0nD17lm984xskJyevuB4VFRVcuHCB3/3udxw6dIif/exn2+YYu0NGSA1ynUwmE52dnZSWlnLp0iU++OCDdV1WZjabqayspKysjJs3b2I2m9m5cydmsxmLxcLk5CSFhYXcvn2bp59+mtzcXLy8vKQmeZ8Wao5DQ0MUFhby61//mpGREbKystBoNExNTdHa2kpJSQlvvPEGzz777IqD8s1mM62trdjtdk6fPr2qgKysrOT8+fP09fXJrdG2oE0NyEf5S9zT08Mnn3zC66+/Tn19PcC6biE/PDzMv/zLv1BeXk5OTg4vvPACZ86cwdvbm87OTi5evMhvfvMbfvKTnzA3N0dAQABpaWnbppaxmUwmExcuXOC///u/uXr1Kt/+9rf5yU9+Anz+bKALFy7wn//5n/zgBz/A19d32YCMj4/ntdde49///d9paWmho6MDk8m06HlAS6mpqaG5uZmvfe1rvPDCC3It/RYjjR1rdPv2bS5dukRVVRXe3t4899xzzufKzM3NrXle1dXVlIIQFPwAABsPSURBVJeXMz09zalTpzh27BghISF4e3uTlpbGc889x+HDh1GpVNy8eZPCwkKmp6c3Y9O2neHhYS5evEhXVxfPP/88586dc74XERHBs88+S3Z2trMZpa2tzeVd8o1GI4cOHSI6OhqTyURjYyMtLS1YrdYlp7darTQ0NNDR0YGiKOzZs8dZexVbhwTkGs3MzNDU1MTs7CxJSUm8/PLLvPjiixgMBpdfBle6urooLy9nfHyciIgITp48uehekmq12vlsn/T0dPr7+yksLFz2mdpidSwWCz09PVRUVKAoCq+99honT55cNE1YWBinTp3i8OHDeHh40N3d7TIgvb29SU5OJj4+Hq1WS0NDA1VVVS6nHxgY4Pr169y+fZuwsDBSUlKIjo5+pM+63NGm3TD3UT3QoaGhfOELX3De0WVmZgaz2byu9taOjg6qqqoIDQ1lz549+Pv7LzldeHg4hw4d4ne/+x01NTXMzs7e72Zse6Ojo3R0dDA5OUl4eDgpKSlL3r7sySefJC4uDi8vL4xG4z3PGbpTQEAAKSkpJCQk0NTURHFxMc8999yS0w4MDFBUVISiKGRmZhIdHb1teq/dKRvkWuw1cDgc6PX6RY9DmJubY35+fl0BOTk5ycjICF5eXuzYscPl3ae9vb2JjY113tpsrTVVca+xsTGGh4cxGo2Eh4djNpudP1h39nCnp6eza9euRWWXu31Zeno6R44c4fz589TV1TE0NLTkD19XVxdlZWUEBQU5m1W2E3cJSQnINbj7oC48y3i9tFotHh4ezM7OYrVal31CnlarRafToSiK23y4trKZmRlmZmZISUkhODiYqqoqLl68yC9+8Qvg/3q5X3nlFf7mb/5mUYAtt//T09N56qmnyM/Pp6enh8bGRkJCQggICAA+D1eTyURraysNDQ28+OKLPPXUU873xdYiN8y9T/ezjXq9Hj8/P+egcFdfPEVRUBQFPz8/AHnOyQaxWq0MDQ0xODiI0WjEaDTyne98B51O5+xAa2ho4Ic//CFf/epXOXr06IrzDA0NZdeuXYSHh9PU1ERNTQ0xMTHs2bMH+HwoUGNjI11dXWg0GhITE8nIyMDT03OzN1esg4yDfIj8/f0JCwtjYmICk8nkcn+ZTCbGxsacX+Ll2sHE6mg0GhwOB11dXczNzZGRkcHLL7/s7KiZm5vjo48+4uc//zk/+9nPnO2LRqNxxZ7myMhIkpOT6evro6KigqSkJGdAzs7OUl5ezsDAAAkJCSQkJGzbcHSHfNgercJbVGhoKLGxsXR3dzvHUi5l4bnXwcHBHD582FmTFOu30I7o5eVFVlYWr7zyCocPH3a+7+XlxdmzZ3nmmWdITU2lubmZDz/80PkM8+VoNBpycnKIi4ujsLCQ2tpa53smk4lr164xOjrK0aNH2blz56Zsn9gYmxqQ26Gt7M5tXOv2xsbGsnv3blQqFYODg4yMjCw53cDAAM3NzYSGhnL48OEVn3goVrYwqD8oKIiUlBRyc3OdNbmFmo2vry+7d+8mMzOT2dlZGhsbMZvNK85brVZz6NAhcnJyGB0dpampyTl2dXh4mJs3b2KxWDh8+LDL55+LrUFqkBtgvT8EgYGBHD58mNTUVDQaDXV1dQwPDy+axmw209/fz+DgIOHh4WRnZy86JXOH05StaKGzKzg4mMDAQCwWi/O9O4+nRqPBaDTi6+uLTqdb1bHWarXs3r2bkydPotfr6e3tpaioiPb2dlpbW+nr68NgMJCdnU1YWNimbJ/YGNIGeR8W7raz0MFit9tX9QS78fFx2traCAkJQa/X8/zzz3Pr1i2qqqrw8/NzXpkzPT1NRUUF8/PzPPPMM+Tk5GCxWLh69SpeXl7yHOz7EBgYyI4dOxgdHaW/v3/RnXfuPoYWiwWdToe3t/eKYxXvLBsdHU12djYqlYrr16/T39/P8PAw0dHRZGVlERMTI0+i3OJkoPg6LHwJLBYLw8PDjI2N4XA4nDc4iImJcdY2ltoPt2/fJj8/H51OR1xcHPv378ff35833niDwMBAZ0BOTk7y0UcfMT8/z9NPP43RaKS0tJTXX3+dxMREDh48KAG5TuHh4cTHxzM6OoqiKIyNjREeHg4srkGOjo7S29tLVFQU4eHhK14rfWdZb29vTp8+TXV1NcXFxTQ3N+Pv78/BgwfJy8vb1m3J7pIPcrOKNZqfn2d4eJjy8nIKCgq4efMmdXV1WCwWrly5wmuvvUZ0dDSpqamcPHmSpKQk/Pz8Fu2LheE9Fy9e5Cc/+QlBQUFMTU3R0NCw6NGxk5OTfPjhh7S0tHDp0iXnuEl/f3/Cw8Mfyf37oAQFBZGenk5WVhZNTU38wz/8A1/5ylfYt2+fc5rq6mouXLhAfn4+r776Kjk5OWu6Y9NCGHZ0dPDZZ59htVrJyMjgK1/5CpmZmdv++LnD9ssp9ho5HA7m5+cZHR2lu7ub4eFh9Ho96enpwOf3dbTZbPj6+jIzM7PkHX58fX1JTk6mrKyM2dlZZmZmnE83jIiIcE6n0+kICwtjcHCQ2dlZ5ubmCA4O5sSJE+zZs0dqj/cpKiqKc+fO4eHhQVFREV5eXnh4eODl5UVHRweffvop9fX1REZGkpmZSWJi4pqG5Pj4+LBr1y7y8/OdnTQjIyMkJSWt+vnnjzJ3yAe5Ye4aeXh4EBUVxZe+9CXOnDmDxWJx3mB1gUajQa/X4+/vv+Ttrnx8fNi3bx8JCQl897vfdb6uUqkwGo3O/8fGxvLLX/4Sk8nkvIGrRqPBz88PX1/fbXPt7mbx9PTk61//OllZWfzqV7/i/fff56c//amz+WR6eprHH3+cv/qrv2LPnj1rHq+o1WqJiooiMzOTzMxM6urq2LFjB4mJieu6d+ijxF3yQWqQa6RSqfDw8CAoKGjdw200Gg3e3t54e3u7fCa2oih4enoSFxe37LxW0ykk7rWw3wwGAzk5Ody+fRs/Pz9u3brl/CFyOBw888wzHD9+/L7u07hnzx5eeeUVenp6iIqKWnSWILY2uWZti1pt7VDCcX3u3G8Gg4EvfOELPPvss0tOd7/7OCMjg4yMDGcoyzFzHxKQYlu7M7Q2I7jurOHfOX+p+bsHacQS29pmh5Sr+W/ncHSnWvSGB+Rm/hoLIcSDJNdiCyGEC5sakI9iL7YQYvuQNkghxEPhDhWoTQvI7XJHcSHEo0tqkEII4YIEpBBCuCABKYQQLmxKQMo4SCHEctwlH6QGKYR4oNwlHEEGigshhEsyUFwIIVyQU2whhHBBBooLIR4Kd8iHTQtIaX8UQizHHTJiU2uQQgjhijtkhNQghRAPhTtkxKYNFL/zbyGEuJO7ZIMM8xFCPFAL4egO+SABKYQQLsg4SCGEcEECUgghXJCAFEIIFyQghRDCBQlIIYRwQQJSCCFckIAUQggXNjwg5XELQoiVuEtGyEBxIcRD4Q75IKfYQgjhggSkEEK4IAEphBAuSEAKIYQLEpBCCOGCBKQQQrggASmEEC5s6iMX3GGckxDiwXKni0mkBimEEC5IQAohhAsSkEII4YIEpBBCuCABKYQQLkhACiGECxKQQgjhwqaOgxRCCFfcYZy03DBXCPFA3T1QfCvnhJxiCyGECxKQ28Tg4CDXr1+nv79/TeVc/bqv5ld/K9cMxNaxlZvkJCC3ifr6et555x0qKyuZmZlBUZRVlVOpVCiKgtlsxmQyMT8/j6Ioq/pQL0xjs9mwWCyYTCasVut9bYcQD5L2Ya+A2FxWq5WBgQFu3LjBpUuXnOF44sQJ/Pz8VjWP/v5+fvnLXzI7O0t6ejqnT58mNjZ2VWXn5+cpLi6moqKCrq4uzpw5w9NPP30/myTEAyMB+YibnZ3l5s2bdHZ2YrVaqaiowMfHh5ycnFUHZFtbGx9//DG9vb3s3r2buLi4VQekzWajsLCQ9957j76+PgICAjhz5gyenp73s1lCPBByiv2Im56epqSkBEVROHv2LGazmRs3bmAymVYsa7PZaGhooL6+Hi8vL6anp7lx4wYtLS1YLJZVLV9RFKqqqqipqUGr1TI2NkZVVRXT09P3u2lCbDoZB/mIGx0dJT8/H4vFwhNPPEFSUhJms5mOjg7m5+dXLF9cXExtbS1paWnk5uYSHR1NT08PVVVVmM3mZctaLBYaGxuZm5sjNDSUvXv3YrfbuX79OiMjIxu1icKNORyOLd2Zt+EB6S7jm7aL/v5+bt26hVqt5vjx4xw7dozw8HBqa2upra1dtrPGZDJx48YN2tvbycvL4/d///d5+umnGRwc5NKlSyvWAm/dusX169cJDAzk1KlTPP300xgMBgoLCxkYGNjoTRViw214QCqKgtVqRafTERgYuNGzF6tkt9u5desWbW1tJCUlkZycjI+PD5mZmSQnJ3Pr1i3q6upc1vZnZ2epr6+nt7cXrVbL3r17eeqppzh9+jSdnZ2cP39+xVpgU1MTxcXFhIWF8cQTT/D444/j6+tLdXU17e3t2O32RdPLD+r2oNVqsVgs2Gy2LX/MN7yTRqvV4uPjw9jYGCUlJQQEBKBWqxftiDu/lAv/Xuq11fxbyt37b71ej6IolJeX09jYyL59+8jIyAAgLS2N3t5e3nrrLQIDA5mfn1+yw6StrY2SkhJUKhVxcXFER0fj6+vLrl270Ol09PX10dbWRkxMDD4+PveUdzgctLa20tLSQl5eHnl5eURERBASEgJAV1cXbW1txMXFodPpnOvucDiYmZlhcnKS6enpVQ8pWmpfPAgPuznpYW2vw+FY87L1ej02m43p6WlCQkLw9vZGrd7a3SAbHpC+vr4kJydTVFTEtWvX0Gg06HQ6VCoVarUajUaDWq12/n+5P2spo1Kp7plupXLrWae7y620TndPt5nrtDBtUlISHh4e3Lhxg5s3b/Liiy+SnJwMQGxsLLt27eLHP/4xXl5ejI2NER4efs9xrK+v57PPPiMhIYFjx46h1Wqdx/fkyZMYDAbKy8vx8fHh5MmTi8rOz8/T09NDV1cXJpOJ5ORkIiIiAIiPj+fEiRPOgevh4eHOgAQwm81cvXqV8+fP8+GHH2IymfD09Fzyy7jRr61n+oe9Dg9rWXcG5FKhufBjd+f7Cz92QUFBnD59mvj4eJfrtFVseECGhITwxS9+kaioKNrb21EUxRkQsPg6zLtfczXNaqZ3Ve7Og2e32xfVSFa7zPWu13Lbtpr5rHUf2Ww2AJ544gkOHDjA3r17CQoK4sCBA0RGRjrXKTQ0lPDwcOx2O42NjXh6ehIUFOR8f3p6mqamJrq7uzl37hy5ubnOEPPw8CAvL4/5+XmuXbuGh4cHJ06cWLTNY2NjVFRUYLFYSExMXBTAiYmJHDt2jN/+9rdMT0/z5JNP4uvrC3z+Bers7HRe8ZOZmXnP8Vqv1ZZdrmZ052dpqXmupayr8sut652hs9p1Wo/N2s82mw21Wk12djbHjh0jLCxs3ct5UDY8IENDQ3nppZd48cUXnYGkKAoOhwNFUbDb7Yv+fed7S/25M9iWm/bO+bqaz2qXudrlr7TMpZZvs9nWvM1LzWep5ZvNZqxWK1FRUeTm5vLNb37T+aG884Or1+s5duwYvb29FBcXExAQ4AzIiYkJqqur6e7uxtPTk9TU1EXh6nA42Lt3LyMjI/z0pz/F19eXqakp/P39ndMMDAyQn5+PwWAgOzt70Xvx8fFYrVZ+8Ytf0NLSwtjYmPOL0t3dTVVVFfX19ezevZu/+Iu/wGAwYLVal2yrup/X7rf8w3rNXdbn7tdVKpWzQ9DPzw9fX9+H3jyxGhsakAu/oBqNBo1Gs67yrv4s7Nw7/7/c9MvN537LAauez8J0C+u+nuWvtsxC+GZmZjr36cKp8Z28vLw4cOAAs7OzFBYWkp6ezt69e4HPhwV98sknzM/PO9sN76RSqTAYDMTFxTmXU1RUxL59+5zti93d3Xz88cecPn2akydPEhwc7CyvVquJiIggNTWV5uZmampqCAkJITg4mPr6esrLywkODiY5ORmDwQCw6BRcPFrW05b5IG1oQN7vht59eio2h16vZ/fu3dTV1fH+++/T19fnfG+hVpmYmMjjjz++KNzuFBYWxpkzZ2hqauLjjz8mMDCQkJAQbDYb3d3d9Pb24u/vT1ZW1j0N8d7e3uTm5qJWqykrKyM4OJgTJ05QV1fHrVu3OHv2LBkZGSiKsuUb8cX92erfd/n0bUM6nY7o6GhiYmLQarUMDQ3R1tZGT08Pzc3N9Pf3Ex4eztGjRxe1Td7Jz8+P06dP4+/vzwcffEBXVxcAZWVlDAwMcOjQIdLT05cMOLVazf79+0lNTaW0tJSSkhJGRkZoaGigp6eH/fv3k5OTI+EoHjq5Fnsbi4iIICEhgZmZGW7cuIHNZqO9vZ3IyEgSExOdp7hLnQbp9XrS09OJiYnBbDbT399Pa2srly5dYmhoiCNHjjh7zu+mUqlISUmht7fXea14QUEBU1NTREREEBMTs+nbLsRqaH74wx/+8GGvhHg4TCYTJpOJmZkZWlpaqKqqYn5+nkOHDnHw4EFn+6Or0yCtVsvU1BRDQ0MYDAa6urq4cOECarWaZ599loyMjCXHSKpUKjw8PLDZbJSXlztPyf38/Dh8+DA5OTl4e3tv6rYLsRpyDrONhYeHc+TIEaanp/nwww8pKCjAYrFw4sQJ0tLSVjWPhIQETp48SX9/P++88w7t7e34+PiQkZGx4jAOo9FITk4OOp2OkpISZ1vkwrAfIR42CchtLCAgYNGVMRaLheDgYHbv3o2Xl9eq5hEREcHRo0ex2+00NTXh5+dHQkICUVFRK5b18vLiyJEj7Nq1Cx8fH5KTk9m9e7fz1F6Ih03aILc5Pz8/cnNzmZ6eJiwsjLy8vCWHBrliMBhISEggNzcXRVFITU3lyJEjqxrm5e3tzd69ewkJCeGrX/0qiYmJMqRHbCkSkNucSqUiJyeH4OBgjEYjkZGRax56sTBsJzw8nJ07dxIVFbWqeWg0GgIDA+WmJmLLUjm2+u00xKazWq3OK240Gs2aapAL5ufnsdlsaLXadV8oIMRWIwEphBAuSCeNEEK4IAEphBAuSEAKIYQLEpBCCOGCBKRYRPrshPg/EpBika1++ykhHiQZKL6NTU5OUltby6effsrk5CTf/va3SUxMXNM8enp6KCgooKamhp6eHsxmM97e3sTExJCbm8u+ffsICwuT4BVuSQJyG+vq6uL8+fP8/Oc/x2Qy8aUvfWnVAWmxWBgYGKC4uJhPPvmEuro6+vr6mJubQ6fTERYWxtDQEFNTUxw9epTo6OhN3hohNp4E5DZlMpmoqKjg7bffZmpqCqPRuKYraDo6Ovi7v/s7Ojs7iYyM5Jvf/CaZmZk4HA7a2tooKiqiuLiYwsJC/uRP/oRz584RFhYmV9gItyIBuQ1NTk7y2WefUVNTQ2RkJN3d3YuePLkch8PB9PQ0tbW1XLx4EV9fX5577jnOnj3rfIxnZmYmRqORxsZGCgoKyM/PJyoqCqPRKAEp3IoE5DbU1dXFm2++iV6v5w//8A8BaGhowG63r1jW4XDQ1NREeXk5IyMj7Nmzh+eff37Ro10DAwN55plnuHnzJi0tLVRXVxMXF0deXh56vX7TtkuIjSa92NvMrVu3KC8vx2g0kpGRQVxcHH5+fouevrgch8PBrVu3aGhoIDw8nNTUVEJDQ5ecNi0tjaysLPr6+qitrcVqtW705gixqSQgtxGr1UppaSnV1dXk5uZy5MgR5+ur5XA46O7uZmBggOjoaKKjo10+XCssLIy0tDRmZmbo7e1dVQ1ViK1EAnKbsFqtdHZ2UlVVRX9/P7m5uaSnp9PX18f4+DhqtXpNQ3HufB63Kx4eHhgMhkUPjRfCnUhAbhNtbW1cvXoVDw8PcnNzycrKIigoiKmpKebm5pwP0oLPT8MHBwddzstgMODt7Y1arV42JBeehujr64uvr688xlW4HfnEbgOKolBSUsJbb71FVlYW3/3ud1Gr1UxNTTE/P++s3TkcDlpaWvinf/on8vPzXc4vICCA4OBgtFrtsjVIk8mExWIhPDx82VNxIbYq6cV+xJlMJpqamiguLiY/Px+NRkNbWxt2u53h4WFaWloYHh7GbDbz93//9+j1ehobG8nJyVlyfiqVioiICIKDg6mqqqKvr8/lqfng4CBdXV0kJCSwe/dued6McDsSkI84s9lMR0cH09PTeHp6cvnyZa5duwb8XzviQg3ynXfeITg4mL179xIUFLTk/NRqNXFxccTGxtLf309nZ6fzUQt36+rqorW1lSeeeIL9+/c7T+GFcBcSkI84b29v9u/fT2RkJC+88ALz8/MAaLVaent7KS8v5+LFi8zOzvL973/fOVYxLi5uyfmpVCrS0tIYHh5mx44dTE1N0dDQQHJyMp6ens7pzGYznZ2d9PX1kZSUdE9ALrRPCrGVSUA+whwOBx4eHkRFRS35nOrx8XH0ej03btzAbrfz/PPPk56e7nJ+MzMzTE9PO9sUz549i9lspqSkBIPB4LyOe2ZmhsbGRhRFISUlhcTERNRqNc3Nzfj7+xMaGirhKNyCBOQjbKUQmp2dxWazOU+1zWbzstM3NzdTXFxMTEwMUVFRfOc73+H69etcunSJqKgoZ0B2dXVx4cIFoqOjOXnyJFFRURQVFfHmm2/y2GOP8fWvf33DtlGIzSQBuQ05HA4sFgs1NTVcvHiR1tZWHA4HFy9exM/Pj7i4uCWvmVapVExOTvLb3/4Wq9VKTEwM1dXV3Lhxg7Nnzzqn6+vr491338XLy4v09HQKCwuZmppiYGBAxkMKtyIBuQ3Z7XZu375NQ0MDxcXFKIqCt7c3+fn57Nixg6ioqCUDMjg4mJiYGN577z1KS0udr989ENxkMtHe3s7MzAwlJSUAREVF8cUvfpGkpKTN30AhNog8F3sbUhTFGWK1tbWYzWYMBgOBgYHExsaSnJy8ZECaTCYGBwepra2lr6/POVBcr9dz+PBhkpOTAeju7ubatWvMzs6i1WqxWq0EBASQlJREbGwsO3bseNCbLMS6SECKJa2nl3mhLVMGhItHhQSkEEK4ID/1QgjhggSkEEK4IAEphBAuSEAKIYQLEpBCCOGCBKQQQrggASmEEC5IQAohhAsSkEII4YIEpBBCuCABKYQQLkhACiGECxKQQgjhggSkEEK4IAEphBAuSEAKIYQLEpBCCOGCBKQQQrggASmEEC5IQAohhAsSkEII4YIEpBBCuCABKYQQLvx/5RCiS4RH3JUAAAAASUVORK5CYII=)
physics-General
physics-
The total current supplied to the given circuit by the battery is
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)
The total current supplied to the given circuit by the battery is
![](data:image/png;base64,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)
physics-General
physics-
A current of 2A flows in an electric circuit as shown in figure. The potential difference
, in volts(
are potentials at R and S respectively) is
![](data:image/png;base64,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)
A current of 2A flows in an electric circuit as shown in figure. The potential difference
, in volts(
are potentials at R and S respectively) is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATIAAAEaCAMAAACl5yusAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////z8/PX19fPz8/39/dbW1oWFhVlZWVpaWlVVVXt7e93d3fj4+LS0tDU1NRcXF0pKSlNTU1RUVDo6Oj8/P52dneTk5O/v76OjozExMVJSUsXFxdvb297e3q2trWJiYmBgYLCwsODg4IuLizg4OH19ffr6+uPj44iIiEtLS5SUlM3NzW1tbT4+PpCQkPv7++Li4oyMjEdHR4+Pj729vVZWVqampvb29r6+vmhoaE9PT6GhobGxsUhISLq6us7OznR0dMvLy/7+/p+fnyoqKisrK3BwcHJycnh4eMHBwfHx8ezs7IODgxsbGyYmJkJCQkVFRUNDQzMzMw4ODjAwMIeHh9/f3/n5+ff399HR0WdnZy8vL4aGhtDQ0MrKyqKiokxMTIKCgr+/v1tbW0ZGRvLy8pubm3V1ddfX16WlpU5OTldXV9LS0l9fX/Dw8O3t7X5+fjc3N2lpaTk5OdPT0+np6VhYWISEhKmpqerq6tnZ2TY2NiAgIOfn525ubh4eHl5eXlxcXMfHx6qqqszMzJKSkpaWlre3t+Hh4ebm5gcHBwAAABMTE8TExNzc3AsLCwEBAQMDA7u7u2NjYw8PDwICAhgYGAwMDAoKChwcHMLCwrW1tWZmZqenp5GRkaysrGRkZJWVldjY2KCgoMjIyK6uruXl5e7u7mFhYTw8PHx8fKurq7a2tujo6NXV1Z6ennFxcevr67y8vH9/f4mJicPDw9TU1E1NTa+vr2xsbF1dXWVlZZmZmaSkpKioqG9vb7i4uPT09GpqanZ2do6Ojpqams/Pz8bGxpycnMDAwIqKipeXl7KysrOzs5iYmDQ0ND09PXl5eUlJSScnJ4GBgUBAQDs7O42NjRkZGYCAgEFBQXp6eiwsLMnJybm5uVBQUBQUFBoaGiMjIy0tLXd3d2traykpKSQkJCUlJURERJOTky4uLjIyMnNzcyIiIhISEtra2igoKFFRUR0dHSEhIQYGBggICBUVFQUFBR8fHxAQEBERERYWFgkJCQQEBAAAAI3x7P4AAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAATWUlEQVR4Xu2dPXbrLBCGb8thI6yHLUGXjpqeTbAcGhptwM33voAcO5Fk+Z/447k+J7KSa6PRMMygYfg3GAwGg8FgMBgMBoPBYDAYDAafSDj+G+zCKtFIsp0abOOmQy4S0zkOPdtDMFpYSYwXpp0cbCGVTvUoqBzr0WAT67OqR1LNR4NNnMitO7rRMffhsnDlwCbtbTkabBMnLbz3yYuc7BgxdxDUYco568NhUsMt20OwXitrrcmTGiq2DysyTRm8szQM2S5CzKKIito21GwPQWlfTFiICALKqcE2QcxW32ZthprtQOqpxeIhHYaa7SBIMcspmOPhYBMr594Y5PBkB4PBYDAYDAaDwWAwGAwGg8ENhH9hTC5eQwg2qmiOs7ODiwTnp8NBjMdL+5Fp+vr6OpSH5oNdSHGAyL6GyPYj/RDZlViasq9pPMTcSzDJK2NM9CmOQXMHQRrvI5MyeKDGs9/LMKvA1DQW+Bp6ZH5exCrhj/5YOHs3WAIy8sl9yyjImHwciraOdEn8SPZE5/TqRIiDc5zPv3Owpcq5GbfBOd9D5Q/QWRfP/+8pElvWplC9jdE7z4Ghz6eG/4wgMXLOvwxDdgUKZVViQEYhVA0FpPkU/zYEa2JUpl1OCA7v9k4TBqeE2gzCSyjggnRGeb24RrN+oWIbypeyPWiA7dcK4qq90Hp216VJQmctlL28pB7ipXOx/XflbyI+Na8s1JEp4+uzng6Z6sq7gBMZHfpiA95DMFkn52KeyjoHqbSIDq3W/rKeBfS6HW6EjbgJKUbflh7+wPhknLXGH9gCtgcqb7wuAuwSVRdRJjSxNZi3OurLi2pgp/yuVffBKOXQQ+PipJA05bT1ZQm/9XVpihMH3+u0m1ElGITk0FLpp1quQfpDXrzAGZhAuF1740j8GTzbLbUJMRcli1qUPwtq0r0uHA7V5iqu0w1OtBUiIU7TZscI1m8Olb9wqa5wWkEmzW+WqRoILiHuelVnsBFRNX4arWtvwN2etlQIISRHiP0EtamS8zI766e6jj9Y0RS+RyTGzFyepEFkbd4eR1si47h6nZclfY3b4W64hYElwAOhgLgwsZ6B8LoVGR8+aoyT5yLb0jJ4/IgerxEYhgof6f9LF2Hm28lvjl/8rWWwEf2u6gzOxJQ5FxFgQKqgOGSu9jsZ9bUTiJYdnzOPYEEUsGTVhMGWpeqPUWQ9V1uCMZ94m6UoRrg0fc1a3zLlClOljFEJQ0ZKv0to4Fbl+onwC6tDiP/RFL4/6ojJAQpXAuWqJqd5SQsEm7y/NliUamItiBStdDBqP//3ccEwlavmJ8DJuGp4eSFwM4urgH7Am4+BsNxbl/1yvML45+prgWE6QF6OsooLK4IdlLsdwn1L/L30+hoX5qWozMIpUC94mtZaV8YBqZKTbkkycGBvuPsYYeH/lyN4tOXUKfRfywEaYD0VLuA/YGztUmiIE7WC/RdCcbJQIQhCQw2slZoL+IAgZVW6AAduxcZtclTZCFGUA4yezdkI0KhqBaDCniNqgJKJiKaU33cHvNissxBwixBhTnpi8+GVaX0yV2PLzAwvCxd1j4kJKlVThfsT28hJt7h+JuzklKcJ5lQKNGDy9Q+6A64SKN1GGhUjZ84kzkBI9Q9wKSZl4UvXCksdaz9wNuoXJeFzbvr23QOD48QZ3gXOmS2H8X8EOOVQRM+JP1Pd9Ntg1w/Swt0QWejtwP+PA3cpWk4TpqiuHzC/gW2PJnoYTsNxpNN+9xhcjpbmJ9HwrXhsO3CThrIWdyOkatU+Fps40wFbozyG1HruBpzOPrUpxQ8tpIpAumpCoBGqR/aOBxnStIEXHwivppz7LNAV50uUGOrqtR5drFs4zvu4qrYfB3RLpPqs7MIU4dWY/Jm5ByHmKefiW9Axf+A1ygj3Dv5/e/tBMG4xyme4sS61Oe6HgBvguBLl2imR/kFIGa2Fb5E8vIsHdiWVMfL6dFvA2jUI+kr4J+F+Zrhm9ewDSBruv3KJoe2n0DoMQkpafQR9iHIe2IsiEzUC+ufHLHhCHNjuPidR69E8V/MQ8Pn8NA4qHyIzq5JqkxtRPLOmOlNqP8M/c8y94Ux9+Gfzc010XHgW8BeB1U+mPt+wT+46nOf9BJkxApQWvkXxLsRT1Qxdv8VifxsnynMeJppl3WZPn4X0HxE8SUTNkFnA0Alde+4FwfnrU2YUwPy6THCqTSRCaI/zYJfh8xJz1wTJcwjOmBj52mNsg5lF9gpgOjt0z4LJh8M04TUdM/E3ePY4+QO0rr+dOxD55GhMSfK5PEBBYq+1Lghif6wbez/Bzy6pZX54OVqD6x9ebY+ZgNaZqwGRzfYcGrTdNqZav/yW4zZdyI3lQGS/C3E/HSnmhOiLIpMwxq/3xznPtLWIIEiT4SK+cO8dm2eRSVHTxFdBpPyW9HHOaqzKjItOfFLKc1neS4QWzJz0JqPedE2ZcvemAZ/3auWbgxW6LNGRbWnH82F6KycKIbup5ViuIN/nitPVWOkAUs03WsbVlNTHItOkodOccN/WIXvRCj+RsnyzHZ8Roj5m2Fr9GktrvdbMhvYXVrYV/+gVDVoG3U4tLdGT6XB8ti5fFCm4jO8ptBOLhGDe7FFi2FzIO+DShKP2yf1Lp+4CIttjNLnQ7xXNWQeDz4LMjPjORQuM4dvxEwmR2ZSX4ET8myWGNiwM2Fz4eTSwEh2mHT6ToA47Jr3g+rxw+mKF8gDlZytOdymy0wW/8iEEDJgXhUH3u4eZvoWHTuGkY77KyQj28nNb1iJ4q+mfKWPQeWttKmurXLTBiVdt8nfxWxhZvsatvohUP2VGW4zeCA/I+D1W+TUsmZB3gQjkhz9ddg+G6ZgOU36j33hKGajacQdYD/fsVDJcl5xF1l9fvayf4Nr6rh7yOP9zKAoR0R7Cl7d7jhWMqJ1lLbFM4Q87EYJk9ML1YB3IjKWOupJYkdlKhP7CedlVAtMiOhksvym5Gu24O+gHdTNYfsNJlc4eoMwE22l1Trhn75u626LESX3eTPv6Z4McZC6qtlX95t1wYd3Ou7nnUhv4szKlv/zPxZKJuPJZHLNLcNLed0eAzIxkjYVtaeD3uNQdmTB0VOCqFG9lGRZ/SnHtSRfFJUQnsfgyGJm0RyRwaXSCwNKeMgHSRFNfNaNn4ZU4358Uc37OKb/1iD++Oi4TA6T6Onx9XShlJm1kmRdmqVp38o+vwlFnLPMyN6EScYEzq/odwTHfImA7cEODQ0lX7BZVNl2YkpVr/6RlVi8v1bfLPgGn8Dr2M/ztrGbzj5+vqmXROeOY9VP/tZcpG43gDvZq/AumNPLrwPxTXTIMflHExYdni6+y8Oe7yxZDVl7zz/MXwn+vTK3p8Rtbts1oJSp6xWR2TIhlfgpbj86IUVE3yv4My+y/RGYurs8uBZeEnnLXtoyTsDpz2PzJfAY/meKCge4xVcz5me1wAaihi/kVDx9uxqasuBq0vV1FQmhbeUOPpBQ67VZm8P/3+kAYCF51GTfUb3sZTBDp0WuU6Juv0umrCDJeWfDxZVBmPdqz8pTwZe1imaOfgZKNtabHb1ihtL++ybVNW72yVndqzQ64unt6SmDxSa3PQyGrDoc1F6xDPWNW+JYdY6VNXKKoahikONxV7Dik7KNDCHk6oe/89LWaZ13sWVcyKxLbaJETCNZdalmgCN8PhzvmcIOdJsrG6en7S4MSvhaPXaQ3Pbtkx4IqOXqBNVXxVsL735cOtoKtKwODn74nD6UQCPfXH5t2Zc84Vm77Y/iDIiCnS9e0WXDVzO3tb1VOgjgchYCu7y3zZ9Y+lXuQ9CKzsrvHpsQgs9oLDauh437DBkUt7nZm7VyKGJTaoyFtVQeBzDrxaalj+6wE01twRVzQiRHg7hkGqSD2dkxrCUXGmY3+HphS34HMILG9OdcI2nmXS8Ye7Nqd81jBnHY0U1KMLKxbO7FEGQPu+9b7gYe0eyMB25wCpfn0zoj7qhLh8r/1NMhUzBpzwbdEgu779r4JHdvec+dIKJt2oLm2yCpIKMQdjYeOtWrXBZcPPioMmYeT+roLoG++OctM/s5fWcOmqfQj7k2QeHW4yJvVrLj/JxIPqiz3BYcLWZMcd94pM/TKnZfNmsf1T6Fdx6u7OQKAcufTBaHQ4GgcMFDlbWP1Xl8DXvxOyxCcn31Xm3PkxSHemTcLuBquJjvt1RwJqqCCY/XwcrgGfKK32bOSr7tbYi1biYXx6/+By9FizmuBXA6pPsKrmgYVnh3j465B66BTv8mehbnY/2UQMGU+trQ1RbuddXUXqevBNR+m8hCrNQDhxNzH6Xtd8KtLHPAGmdX67zu/18F+cVc1nVVqJg3QvF1QiGWCrfvaqbnUoTx5LmfN5Xkl9M032DNue777W1kLvVyhggk73l9c+Xv6B2X2el/jr1d/e4Ov4a7dp6g32DdfKDMmWv/5KuM1dnrVRZReeZPh7oliz+rh9jP3B9DDQtBHMMcBAV5H3RDyafxeS/JHqbt6cZM+L2Zn8Tmwflk7/OOgb6YYSz7fc9ODEBN/hpaVS9E5GXNxJv42mDVcM4ffVwHm4dDJdgiWn+MxSRb8NcY5aU1Hq0EfAGzaHMQ9lOD0xPxWhD0x3hpQ94m5ZRe5PUiBXh+5BWTWh6m/yoI3I9OlKbZb4aJLI6W1nPws2xp+CLbt+AaDs7RL7z3wYdLn6NaRABvNBF7rknj4qk0u7PogE9YoW0HDn825FF1rZx9Fv8v0bic4QRPtWdTvZyWGB4Dossfls3fBRy8InJKxiDkfpRDhn5TM2+fxu8t/PRwo2aRTtLi8tq3cQ5AGLrLlKgcMAU9Q3rdC/7+uNHvg/lzBppzKWpqUYvosL5a0uTL00KJkAYPnvdNnwXI3LAitLkg6PlT7MFzZIA0GiGHnvVrBp+Jw8uDGOnzch26UCfcMxr+U3sF4cPclwomt3Rz34KG7FXUE3DNnHb0N/5CkDa61+ctWvxbsJmUQw3ueOL375dk/d2CNDo7aA7yC39U5qG6lBWUGDW9bg8ovu8OqPE2ar+rfc2px0qczpYjNJ+0VgmgI7yEDHMzZeaoDq2DjW2dPhivx0YZOFzH9cyJzvBf6ixlCXNqK/icyy+I2JOx13VvUqp0JYJeAOTvtmkzwKvsjljzZgI4r+PaFldevwtXN0FzdE0Cm8qgc3v70fU3oM7XpULJ7+iXHSGYlwf0/N2fWMx+dm5hSiYPS2UhmTx36DA7m2KVsIBIiWsv30h9OpmOrwHgtd60VMoKVp1OZwT5bPWtrnU8rimNrcnWcS1JU+X2XQLuqkrVkcOag/ooqoRp33XUnvgQi/FKQAdL7TnaDted3VZHxttWvcbkuuekS5jrO97meMbWTnBIii9TJ2+ca0d29sdYZA7n9KhJYV+Iwnp1TOK1/Ua36WwgIXNA4bkbQugJC8l++U8IFm5gQANwoNMiMQoEtoBd79iHBGk5j4hw0PdVzRWQ3ftWzKWm0PICgqrXiLMYPLYM8M1xZj+Hs1u5ZFlou6Q00jH5O+UaMBU3TIbJLmapvg1m6pW3NAFeR/bBlOKW9SMamO3L2nF/OCqenxh2A8Uva0/rxPYsMvlmRD+tpVy2gDf7hgkFFEst8QMC3zmqz960YdE6SqLJgAeNy7Y7B5dlMdAfzsFtf44K90lx1ukClgqCmirPkUl0vM/Q+v+zRt1MWng2+wc0b+jA9vPyiP9Dj5rtpfd3eVwq9IRSJEGHp0jcJsO8rMZA05cvoiJWeWcOysKOE/Ltgcix/snOYsmqYeXJNpxZB2HmdnuGTI+S88n/oyuI3MAuCAToMHjSchSLPpgf6gQuCZpuvTK0wLlMyLm1MmMLuXCGzWrNPrXp0GHWgtXBBECjZGBHn4rM5S+dUl74srGyz9Bwm88RRyuYp58mXs8vQnu3umwjsc9rYaQ9ROnfMzz5CuH7KmsveAhqDZvQpMs65FqA7OXPeR/rM9Sn17DKlb7bjTRAvxOOio2WCNCnnXOIB6lrmtFzgqU7LhbXAnFS/nAd81Ljd2p2+BnwH3IVLT1nK99a/wY822VkawVOfAuzTpTEABomOBdzfduJ/D/vmtj2zRqXU6+TqW2DfXJcHjFiiZRwCO8Wur9+EJWKffHRa2p8HQenKuBnguno/jNgCrGS1oGfwGhgdtXeDU0qMfm7PEDxYJbz6rrU8OOeXrxHguqb6FG+wCO3ZiW9fZqQ/Zo3Ns6i+RvXamVk7HIuL1DgAPoWPXFoXh2OxA/RNkcSBJcBHdLQPjJtT2UHgpJzh4AKQGWvzf2/LO7hEcJkiE8OK7SdAzQ59b4bSG6xbp0eIdBXBuo1tLAaDwWAwGAwGg8Hgf490KkY1Iqe9hJKipif9O9F2sEKI2SsW+e558VFX8PlcSe+TO3c6GHAlRJFVGLZsJ1yA8iG1KF8GV58+Zg/Z/w8wZlrETyrh9nSCNH6aPqlQ4CuwJuqvn2vGBsvI1iGD6XeJW2fIuUAsRs4hsl1YMUtKfkrd62cTom4FQuPomPtgabLEbbJi2StxsIMgFfdm1ru3HxywSyowkswGg8FgMBgMBoPBYDAYDAaDwWAwGAwGg8FgMBgMBoPBYNA9//79BzgjOZKctSSZAAAAAElFTkSuQmCC)
physics-General
physics-
A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYcAAADWCAMAAAANZb6qAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAK1UExURf////7+/uvr68XFxdDQ0PDw8P39/c3NzYSEhI6Ojru7u9zc3Ozs7Pr6+vn5+fj4+Pf39/X19fT09N3d3aampmVlZVtbW2FhYXFxcaOjo9PT0+3t7fLy8vHx8fPz8/v7+6enp5KSkpmZmZqamnV1dV1dXUtLSzg4OCIiIh0dHRsbGx8fHzQ0NElJSVRUVFZWVldXV1hYWFlZWVpaWlxcXF5eXl9fX2BgYMbGxunp6W9vb01NTVFRUTo6OhwcHCEhISMjIxkZGWRkZGJiYmNjY2ZmZlVVVSkpKYyMjPb29ubm5lNTU319fYKCgoODg4GBgYCAgH9/f3d3d2hoaGtra7CwsO/v7+7u7urq6ujo6N7e3q6urkJCQmlpadfX1/z8/OPj43BwcNTU1OTk5OXl5aKiompqapaWlsTExNLS0oaGhoqKiuLi4kVFRXh4eHp6epSUlEpKSp+fn6WlpUZGRq2trbq6urS0tGdnZ9vb28zMzKmpqby8vLm5uTw8PJiYmOfn54iIiNjY2OHh4YmJicfHx3JycsrKyrW1tUdHR5ycnM/Pz6+vr9bW1p2dnXZ2dsDAwNra2oWFhZCQkMjIyHR0dMvLy8PDw6ysrE5OTrGxsb+/v7KyssnJyVJSUkFBQbOzs35+fqioqHt7e+Dg4Dk5OZeXl0xMTKCgoJOTk5ubm2xsbLe3t09PT42NjYeHh87OztnZ2Y+Pj21tbaurq6qqqt/f376+vqGhoba2tqSkpIuLi25ubkBAQJWVlXx8fJGRkb29vdHR0SgoKMHBwdXV1Tc3N3Nzc1BQUDs7OzY2NjU1NcLCwp6enj4+PjAwMC4uLj8/P7i4uERERCwsLB4eHnl5eS0tLUNDQz09PUhISDMzMyoqKjExMS8vLzIyMiYmJhgYGA4ODhUVFSsrKxEREQAAAFgu5nYAAADndFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////ALLDDRIAAAAJcEhZcwAAFxEAABcRAcom8z8AAA3uSURBVHhe7Z07lusoEIY7JmUHRNoILICk9kLGoliJQmVzzt3H/CUhP/ppCwRI4rOvW+0z07aAelFQfHQ6nU6n0+l0Op1Op9PpdN6DnKN42amI817I3hNVoQ+SwRitA2SC/nz+8rgkFLxXWR7WjNMw/Bum0YwmAS/iV7sUpEc9337yKzph5t8wTBpv4cHPNzH/Bh+/2qUgbaxnkl+tt3N/aO1DVDH8fA8pxkHL+N2uhBytlCS5CZJfXUBHaOXQ/ltxHn/BX7Aj0A/5LKOzNrgUh4nUqJwy6nrGOms/yCCS/hgJbeSH0ybEN64DQS/Fy/pIrdlZEpNxyxvXIas8JCKVnjUSed3OlyoEjbqVW6ZgooUmfzkT0ZA8wC6sIZyzOs3SHA72W+NlBpLazo93IXBmthTXIas8UMJ0KwX9MCLgwF7LRMBfyne/Um33c5zWj70orfFX6giWh2z36/zmfnCPWokR1lwpmSFz+ktuu1IP4+fZDAEBiZcXIKt9EOPWfvim0e9u7BXIah/CuHFCAtYgfPkaBBNxmY6QU75+QDy8TZMgbvvOKDszXiaKoEnHq3Skstv6wRn7nU0maKurCATkIV6ls3W5hvPfaCWG1GVyETn10kZI/WgH5GVyETnlYRsIpH82K9Lo70XlbFB1eZD6t6YWZrxEFFFdHuT3vtIK+S8B3impbR9ImN8nQy5iIirLA3GmIV7/wDVyEZXtAyK4P+0wz8TGy/NSVx6ekw4/AL/2/OFcXfvwkAr9BWkndfaOqCoP0i8LNP5C2Fe669DUtA8UzGvjnJyxJ++IivJAwr5qgGFHTh5FVLQPr/hKKwjnzm0i6skDT6a+PgScHU890VTNPpDTb2Urgjl1FFFNHpx9b1U3oogza6Za9oHC9KblhZN74hVNleSBU57vqhmJKOK0HVHHPtCmNg2Ivs/aEXXkQapxg44h9a4uOw5V7AMJs2llhzzvvogq8vB30uEHNv+PzVPDPvB2n436hadCTikRFeQBgfT2fIL6I416VCrYB5ni9kg/nDKKKC8PicbWGX3G3dXF7QOFMUmzzBHg+SSitDwQ7/OJ1xs55aLX0vYBWikktuIpZ/wKywN8pfR9wpyLOFvdsrL2gdxSQSMRMZ0uF1FWHhAP53B2ZDDlo899KWofXl6g8Rfs+57LRJSUB97pkKn1nD/ZFHhJ+5AUSH+CC3CcqSMKyoNUGUs1IBw81aLXcvaBkw4ZW07aU+UiysnDa2uKX+dc+yKK2Yf8UbA4U1KolDxQsDm1EsMzhqep6l7KPsRSlFkhf55iWYXkgXeFxsuMSPP6SuXGKWQfwrSx9MbvnKdGUxF54KTDLiY120RJdYrYh/18fd5dfYqOKCEPnHTYq7Nh/1W8PDQl7ANZu1/EJcbxDOnqEvIg9wy4EB/mDkxqUMI+vLRbfTPnWPS6nzzwKSmxNCzZT8VZswJxi1EEPvKoorGjfRAqCIe++CDeiL7j4i9OevNNkFQ2dTFILXaTB5J25POv+Nwmr/Q+cdwCoggMJhJej2lr1Cqyn32QfjI2HqFl0Sc7zkBIb6VT1ujxsIU4EuWBz8qa5zyXi6emFrO6IHIuKG8TSrC/ADmDnhZ+Ouo0R6p9EHoZ6STMaPyzJ7/u+pn7aOcZagrB7TC3Xow0eeByYtbwUA9aQwc9awUuU1ysXXgsHHhDaaJ9cErIANtIXLJE+k/xWuEcsjRfa/eTg9PG+pKcSDvbbl8S5QFuEbqCPpzlpRhf6t0LXfAQB57zi5e3zySnp4mVFfTmMDScrUi1DwSvCI0v/dwPX6IERNLFLKe8fdYaP+ICDoK3aH6hbQgNryxI9Jd4EGpYBfKsgMSXRqeca5Z+h3MR/FEkhfJrOCdFIMECq3i04L9Y3m6PRPtA6AKlA7srxDc9ayGoYuEcXCSoY66KUcZWL9ZJSoRz03Df64Lf0Sn4kniH2j0fMNVfmu10IKXQBY4nMvBuGKcRsbT38CVdKHWIA6fmyCGm1v7hAA8KI89twaVlI6GbPds60T44O7JegvoZLalhqQEtxkkr7y1H0xrmsYhTT2r0Cp9nMTL8g78glZ3tA6tM6Zvd4phoHyTiBnZbhdUeLsliByXvYJNQTkp5PpO9xFwDAupJI4bBmMDgMPET5wlYAV8ORgLRvgiixJDYQqJ9+ET8U6Qf6oE+T3bshtDDHFDiA+NxsYxU3gmv2EgECWeCzViTpPpL34O44VMksTtwDmLygcxtYy9BW/F0CzxquNduGr49/6YFdso/qG0FZbLgbqv8yCHK9AptD4FgK9ZuemIfeYA+qFbncw2ryQVEcK22+2fy2oc78OYrqWLHjgMCm2DHYc/sU152koclWRkvi0JhEhwuwJFWB6rPntU+cCAtEEjPf5GPX6ogEdJPKiBy0V5AOVYZClvIKg/SI47y8A55XkPoKtX0AgJqyAIrRXGgtFBW+wAv0SCKNmaCtwjNUGM4CjNqtSQaHuKI5skqD+S08cKJEBBJeyiHClZSQhaX1pdHOhUzc/xw37M2T2zUHI4k2p1d/UpufylUDOCeIWsPVLgsq30AFMZGOkIu648PIhKUe9DwatN4WRUSo0Iwpw4SUZPPHPbSi2cv7Y2zxgePOOIYoZzMnT+GdWwieBLG8Mo2dZDCNJR5C/KPZ3qXRiCk5AVLrpFx8QdyypqybaeGoQxh9hcoFFxUuB2ZVR7gs68pyWYge4QtpeiHeJUDrt7QmjaGZjrATsas9kG2OaPTTmz5MzntA/11pncljmAicsqDs43O9yO2bHnmlXcQusnyypYc35LPnmz0bhFMtGsiZLDa6mHCC6++SoWEbVcNw0TU1kwk1DrJIpflbOTmwQGrani5HcigPjOVjN4JLu9eWSDgtg3T8iXcMtnifNw0SLxzbX6kKybptxxFVox5+rHm9+O93UItQ5VXGeJH2GPKhYvlxcsWIVf5nFhy6AIRZ7elhZcKNy5/izV/kBUpUztNKoOPfj1pDbWksisQakD//oWsfoJ1GFedQVBMFHxUS7yrmTft8L+0b3iI4jucO6/aEQ72IQ4F+E7SxsjNwV9aSQzmnGl2IfWduuG+5K1St6gZA1fMWzv5OvCWnWmy1s+7brdzkBJIuPl6voSDv+TCuOaMw6jVo5s/z3unua3UTtLhD6SuaMWcnv5NN4F09nm1Y475pb2qguanZnqEHG/mjL/gt/s1kz7fSlLXWmL/NlU106+kywP7SgfpBgw7qNBCG/beI1keuAhiPS/kbVh442VTJMuDO4xxmIHz2uQUeKo8QCsdxTgscFGoFvshTR749NtDuKx3EOw0uLIsbb0GSdNw0uEHuG5gvGyHNHmA+9Fy0uF7YCJshvxjXiilXDx8pWME0s9AMzU3eijFjYOvdCCX9Y7ThWoRvU7KfiDONR5OK820F/PIYXM/QCs1nQr9BV5Z1lZHbO8HXtF+SK3E8OLjpkR5ez+4Q5+74ExbUcTmfiB12JrmDE+LNdUPW+20OKivtEJtHem+UR5I2oPNK32hmR1kM7SxH44YSH+iqSPdt8kD/L7j+korsqXFPtvsw3EjuEfYRLRyF1vkgVq6gRSqryy7s0keQuU1u9kQzYSiW+ShxV2h2+Bi1G2YiA3ycMikww9I3YiGfV8e2qnskwHexdRETuh9eTjYAo0/4DOZWxhVb8vD8QPpZ3hxbgP38259vn3Pzq1BGybiTXloe1foJvjYivqa6U37IBupNpYTmIj6zutb/cA7HU7jst5pYXMf+uGNryD0SQLpZ9gFrNwRb8kDTNpJAulnOCSqrJnekYdzaiWGfO09HG/IQ3uLTfJRXTO9IQ/4rk1u4chC7XoIr8vDboFnG/ukKtcse10ediuvJJoIDCvXy3lVHnhX6C7thQjdrzOe5O7n7FE8NLYYfBpkvKzAq/NLUu00XDAOb0ec8WHWq8xJOxReX4SOqDcF/qJeInHfCp8XxzXRlgYnZ4a1JgwpPRaeX+fzMKuZiBf7wdlbZYi8wBlWPu5GIK/1ep4KWV1cYUM0q81vvGYf9lsn47x2IroqXA9mPVSdK9joWMQm1id6xLnb84a4Px4I8Rm+QQUVnwsa4lhJImjS8c5++6egI/AzPySgC5aT1DnvHT5oqSAEHRF4HpQvSa6NGJuL8R5PwK9cLwePByBWy2MpA8kvscARGO9M8ec4LQxDrShCjv8GBl8B//A6Pz8/hv/+4Us+PdaX+3MDIxpSwviMvIlbcIaJlTRawnHoLmfDQSr4pQG5SVe4rZcWZ7gT5m6JqPVxJ3Ylw9IxP+5AiCJ1ugH6Gfcwj6V1QD0NrBvfv5tMcGz9l6N8ln3NUIF4a1FPfEapDBZq5TOx+WZu6ugBiPHyuBELc0qu0XljrniUVvXoCPx+f/f7h4EO6474+VybpTN4skEed/PXAeETKNdMn7s3PsGTwpPf7ZSArAmjXsSD1BjsuAQrCK1MfLtTAgU3Zt1Q77QZY2THwXb1lOWVEP6e24DLtEYrCCO6dSgKOzLx8vF6dmo6nU6n0+l0OowUQcz5MBlC4ZRo5w4pM83nbUlvpuksG/AOBzlrg/cCobVWopFNOheEpJDzEbnSas5CnGnv18Fwig9qkfNZFG6ndHjnT6QdOBFE8zEhrstDLcgpO9sHNtbitCuaG4ckXNWgw4cLQcJ1Fa7Ps9aAHJwlPs3LexVIWBWPfOwURuppMIFIjYOW/r+h5x3qQC4oPoZW4gdcJ9Uj6k6n0+l0Op1Op9PpdDqdTqdTnY+P/wEndX+Mf+ayXwAAAABJRU5ErkJggg==)
A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be
![](data:image/png;base64,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)
physics-General
physics-
The equivalent resistance between the points A and B will be (each resistance is
15
)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAToAAAD6CAMAAAAGA3tuAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALiUExURf///+Xl5enp6f7+/vX19e7u7vv7++zs7N7e3tvb29ra2s7OzoeHh6mpqf39/fHx8eHh4eLi4vDw8Pz8/O3t7aenp4yMjMDAwICAgDExMS8vLzMzMzIyMjc3N52dnZiYmFBQUDU1NU1NTZGRkd/f3/T09MTExHV1dTAwME5OTrGxsV9fXywsLKSkpKWlpaamprW1teDg4G5ublVVVYSEhJ6enpqammhoaD8/P35+fsLCwpycnJWVlTk5OT4+PrKysmNjY0pKSszMzH19fYODg+Pj48nJyVJSUqKiovPz88jIyMbGxvf392xsbExMTNPT09DQ0EhISMrKympqamZmZmJiYpeXl62tra6urvLy8vr6+jQ0NGtra7i4uDw8POTk5FdXV0RERFNTU/n5+aysrDY2NoGBgb29vUlJScfHx5aWlnNzc9fX13l5eerq6ru7uz09PVRUVNLS0pCQkBkZGW1tbe/v77+/v2FhYaurqzg4OHFxcfj4+KqqqiQkJFhYWNzc3FxcXMXFxfb29oiIiEJCQqGhod3d3SIiImVlZZmZmUdHR6CgoOvr67S0tIqKikZGRicnJ9nZ2YmJiebm5nBwcLe3txsbG9jY2KOjozo6OkBAQI2NjYWFhdXV1Xd3d11dXYuLi1paWmRkZNbW1tHR0UNDQ2dnZ15eXkVFRTs7O+jo6KioqGBgYHR0dJ+fn8/PzygoKC0tLcHBwc3NzVtbW1ZWVnx8fLCwsL6+vnp6emlpacvLy9TU1Lq6usPDwy4uLpOTk1lZWa+vr39/f29vb09PT4KCgnZ2dktLS7Ozs5SUlHJycpKSkry8vCUlJUFBQQcHBwQEBAoKCnt7e5ubm3h4eIaGhufn57m5uSoqKo+Pj7a2th0dHSkpKVFRUY6OjhISEisrKxYWFiMjIxwcHB4eHhQUFBgYGBcXFx8fHw4ODiAgIBUVFRERERoaGiEhIRMTEyYmJggICA0NDQAAAMUJ1AMAAAD2dFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////AEo/IKkAAAAJcEhZcwAAFxEAABcRAcom8z8AABhvSURBVHhe7V3dlau8Dp0XVUEZ7sA1uAEqcAV+81pmuQn39BWSGu6WbANJIAmEJHAue+ZMSGYOCWLrz5blvxMnTpw4ceLEiRMnTpw4ceLEGhCVgxMvoAiLAqCTy0/4mRydmAU5b+UxNR2+mshPQmy7pvWn8B7Bmk4J0YJqvHPOsri0Ud5F06ZTdvOwMbZNFp1ptbwEAvomQYu1yr85MQXS+s+0orAQXeWYbvKh78zpNB7BVNY10TnNsrKNEdHZtifiiSmYJrsJ0xnVqEhwHI0XttnmFN1DmFZYRzHZ4FQHD+vE1DHr1Cm6Ryisk2CY4gVSqwpbRXhiBsXWZbhOBehu9hy+lSDvxByKnKwD0yiyU6UoOhxUOvX1IQrrfOshutR5ClYnTiS0scGeGjsH0q65wD8QDBuyiYQEglznE1Q1JOVVNnonJqC9ats2OfoLzrStYrYFvIJUlhIezlRsFjJCEmSkiQ/zgbwEEeaHEydOnDhx4sSJfwkUNL7OIGc5yLVN05gzGV6MkJrkXDTqzEoWIvBwAh7tOfC3FK7NE0Mkcx4/AwUXGQcyGzRMUP4U5LuubdpGHWcMTSu1i88aTGtDCFZtNNfyhcIcp3w5+i10GXe020y2UBzZnysxbidTq+pH3eyUq1BFFtIWQ7dk2z7YIu1HYtTebXWhtrLO/nbI1DX5c5BXefbvLYSkVJ3vIj8uzInbTVwHk+9ySH1Rxi9AqcyX4qI3uDSrnKnaZJUZ7oZObbuVIyIvtxufeDRf+X0gLq+i2yCtIW+CK2WIf5HFWGkRTUybTSJq0/gYE0+2/RBw9PnqdBvfJ4U1EfzKV6STIVd5QXhit7AIGbjhTZMrM34HBOYiOop5yvktUGTmRiUjGi5FBK+Fdg4yJZPrObdQW54j+kIY9BCxyWSDw6+6hTBiJUA6nCz//IPusiyFGiCdPOG7QxoXvR58ul2A/EWuDXo7GCKneERnDDznjKP/4u8JqMjip9TiAnVKfJxppxWn68FAlcmmZMppK/jt+nPzV/m+h5xnHwjpv9YAKRdNZ/j//lN+jDT1JcDD6LViLWOLeC4mOaPQDt6Db4w8hJRcTHzOHnw4nGQ4lNPzv/ICvtVPw5ErkBMJpCsX4bshrn0C/DcafWWAXeEvZQMASRG/IL/TKv2FJe6I/1LeQr61Jtdt5aU3ws21eINg9o2PyN5Cwy8IYODgaDOnyRjtmrVnDvA7rtkN6ybBwVlxvOsQoO/iEgDYPF1cKzta79eO7CIgcRDdzlh3Aw9di+/wDkYtD+MyovJ91I/cJbvf5UDIjmxk96LjSAK8Wz8Ga9uuj1e1GTHYra1eD97w8MERWMcx8nqdDb6qKGCzrxXgF6vuRyjMPYCt44eo1me14xnSqxkEWnXpkFzWc7dBzvNJCOuAd2S3KaCtxV+7nS+5KKx7095th55zUP5mDx9oHr4fv3Z7WEUYYtsbyKOwbh+8Q0A93D+72XjpZ1BtHcCy+y3vCGH08AkgunK0TwysK7wrx7/AFecOxTpgiO9Ij2cKvwJIbsS5Y7EOcIhRIDGyMZVlmV8DtPXaT+2edderpJFX+BCsT0Z9eWHcneT+7M7rO25EhyvwNirlbT8c8jHQdRpytxLPqs0mwj+CdLc2H8KLgUIfmX4K5NKIVfo+mzka6wBmA8XtZgNnQF4p3KP8JPixHDP04VgnkHHzzwLJqkEwIm8f/ETN394VdoJ1jDpM/knE5JzK71ObGV3ByqjdfjEtOs0TNAWf+vhi66wR+egkU5PX2LvCTovO1RtO2j0tnyW9SrdJ89yj9gZvcDVcWqHXjs9/CZO2jqtG+DFwZNxNFMpQ7hFG2gIuhzHy5FkGMp7S11JiBoeUNLzEvegOqbAgHV8lr69Ovq+h60Gh1EgE1XVd00nChJC26ZpnOhZi71T//sqZYfBcnBh4AOtW0flbmGIdSKcpuKRggcCHW4Ulmzrpk0C6bZ0GcIrg22QRTJeylhmQxc2oUQiVgk2cT01VN+9dYadYp02CEEyS9kxlMn8A8luWEB+GWnUG7WrFV7ru8fikNcr0cU9/6hCnJs8OaOsodUoZz01L2CDdhg0UNHE7CUAPAy2J2xGxMEv14wxCSjAD3GMBkH4eArITiQPc7q5FN8W61Jpa0QMLNiGKKrrQtt57vupg8mQsRHgr6itQUgRTmonn/UOGHtDWISDpP/J0VkFc1wBo1STTcrYLtokY+nLlMUJupChg0XFEwhYvPi46mAz2doTpuK6HbqZcZmUdRR/I8ew/WCcim2QdvEm/NCCKP+BQ2GvExPnFaRxbdJBLJcY4IquiE5C/eK6vmbd1ulH9yH01APDIJk2lXwNC+vJg60I8Fl0fqnIBbEnV+VllnfyIF5zDNqLZg+MYAbGvM6q4nWr7Saer0dT78tfcFmq/mMwmepRSYY6BTTNUfFHu9UeIb/GTWQeNZV6BpRMKzvZeR2goHw9U0mWJpFQ6hmJfR2WPYN2uRfeYdU4sE8IJk+IQwyEik+yMDM9fWNVZOALLuYEu9Z3XEBlQhLx5ILCnpY6iu8EjIFZtnsPhJ9WxTia2O8JD1kFfoane8PCGLUskGORyWOE4QOMFYQFxmcW1gzsTp4MM+M+dCCWWO8BhMEuLdNe1HEfiZVgFkWI2DXtX2IesA4lcTAjy8DeyTGIdEBzK/w2e3Wp2sTABOZuDExl4qNgQaMMtK0Xix2WdazltkrgiGK7vXweuN85HCIbzWjKyDumsiM6WFep4EVaTD23O5iaHU3aEh6zDVdXo2KaRN1wIGoYQdGpyVTusXukrC9bxwhQcBVhNeTSS1e1ddA9Zx+3oyuEb6+WupohCWWPBgiq2rkHYJ33ukZzIm/SiO7CtG0B3Ayivw14lc/3sa2VdUMa5xAZPq07+kLtq449A1n9AdGTXL0cNkwELiyyLjpu4s9SQzUFh828kJTm0retBRV9lVHMZaK6MoLJOQL7zhB8SUOtWAhjo9moj8Q08ziYqNKJZBG46lpG218HlS9P/pbCOFy/iZ7rAvCGb478tKyj/CYVFfhUtAjxr09Kplrp2/x5URCcZHMwbAmvkEnyMnyLOf4F1wbeqVVxwh5x9kewghmkjSaTbLiImIdPxjBiCO+2j45wZibOMryBqPj7rQlTSsxlApLEkZJjt8BJS210a5L1IvpqGB/TwUtdw//bYNQ37i5qE7BWv2bowzFIHl4dAXgGFqwrXMWA5nYP1xJHmI/4z7WSjj8D78+BTjUYKdokX47oRQAZe/PYKZr3rSxjyt33iNdZdw6rXDB57l+Vn77F3hV3OOkBDdi/okr4tcV2Gf8PW3YB0emF6OeQuAKuxd4VdxToWy1NHiytfP9jC+CdZB9wsD5kAsv51p67AW+xZdJwurpSdNelRRvt+3yiKW/RP+hSIV5y7dZfI09Dzjhah83Qa8Tr4DUrlyx5BAalpnnxYDm3mVwjYLXrjaG/MnksAyKV+/m4hwNkZ2YX34pIeyGPVQ7vwWyDvbldG/eJoJy4MV/xGGjEC8X49O7V4RNqZF7ODCYTJ0QCy26z1oWC9mr45vwfZ1LYrTV2Gnei3wAWI5fANwA4rnpLbo+BIsyWJ62r3e1hphTNGHrF8DyAcTLDnoZX9ITjPZVrv22BkZdchhHs3GOabmrhZ3CauZmsE7sj2lqYO0OkqEkHW/95p4bcguB9HdFdLTq+g28t2GWKQ3f7KE0rvri8jf8mFjt9FXUcTZB1NLmajoK29sWhginnXyg3g9iTlRiCNeNe7InlVSCMenWVdz6OH4FouecvIA/5wnnjCcRsfXls1vGqU32rLGnI1o+XqT3npDeT1LjfCKxW54IYO2uWrlCf39aBroH3D1ak4Z+q81lkwXFKE4G2oxSrgiK65sfDrgYSTebdJt2gADvb6bsP+8Scl1/DaqkauEtFL10m5ytsILqZ8UvK5eI0PpfaSqxLu7AeExxHANomOzDNC17aK/REOI3QqThas7nJhXryoyPu881/AxLp4z4k1CJq78d+Irm5LLbsF3wEhCtcebnHjeH0mJLfFqTK4ZQjSf0gJnCi1zBBdZQAl2UAVnMja+y560XXGe74MMDzHCraZblYrpvDdASIBQuGtN1xHMtzi45PVZS93cr3odKnucd02XXhdzzqlmgb5EMWyoNXlIph7IKfYRnQgwGVr0SGnyHe+1PDwBu9l2tY13E6aObFNZ8paXmqTpZBYRyvrXKMmfBEnY31g8S6s4TWb5ckGYEdbh1Mhusy6rs2ckAvKv2k2Ce0L6/Ae/IR1FLZOXonNfTWwZLEbuQlcQ0oBsclGsssRSm+FobByaJXTWpxhFR0s0aasE+imsX9Uujqke62EldtOcDASPEi3qKDnwR/Cpza10IVRWAcq4iUQLeDqssjmjPhSFNFZ0cF8UoT3OKZ+f58CXmlk4jZZLAPXKnEJIrvXZIdIphL07u95dPh6XqLYugyp+wwmr0fL+6C8D5tZLJ3ogoeZ0046b1BMzo5CLk4m3k//cfJyhOOaRvDyiLkkJeR7BTEbk0xe/A/FrEsMCnjC5HZOorAuiLjzGtLcnHKb3W5gutSl4bulVWMSWMVrLg3HHtTy4/DxNJz++6rq6oJqvPew1RHXlE1eTYASCkOC+k8lxJP8VyA/DttRAyf8/3ult62oJbQK/8nB1gWdEwwLIW+gOzxWrpBNMqlUy5XjFPCpuIwttWroIMpvqDYYcsI1Vvc8XgzHLaKrHEcAvZpOzEZdecyHEtgihBq4QxF+9Zq3SC0uHUfu2nQmimjhkGQlaWr9VpsD9m95I5ibp5AthDenWC/CpQgpCXuvVzk4dV9IBp1Aji23byQ6y9WI/Eof6uIvQQFzNQjrTNs0PJTPMwKNRECaSxpxNt56Z+Qav4EyPPGW1lroq02Ge5fcVP7y0PHdmYliFV3nggyPcYjLr+SloRW8qI+H1/s7y4tf8g47hMc8WCIH+WF0074DEd7y6GT057z8iZB/SdZypaOIx6eCFDgufgjmolrEHpB4yrvW9ElPBRJYmONNkuvPgJdstssq+vnul0M2cPhJUE+2PdfmjauO785bWIfMPTrftIg6fR7QuRMdXtJRxmPL0/2BP+CiDGCsikH2I5Ib4O+KTBCbVScOCond573o5BXNljBBWlVRec0JP14jRP+osOXnQPjXj1C9AA3X3Tfe9SY/cgh7Nx7IhWSsk9YhTsqhC7LBQRCSVZcxsdr/4wag7vh/7AuaA9Ilg2yaN36pjZlSEZ34wDvqsiZbRF+Il3I7BXYT/IsgWihJaMjtnCb7LfB852Y58cbIjmKZRmjviQux5UpHbY0nN6vWKfK2R4RUQ56XMYi8EIV9howr4/i+TSNpbpO14cjplpBykxdju2HyhBsCcFQoydbTcl9CMAGdze1NAjyr4Wm42LRO8+bIFL30I+al8uOPQTymA//10mf7OvjDvR4Ux35ML68E4SwUSnvVIHceJLPa5E1zadjv8jaoyAyRH0beLM9BX0sngAxOhjYa9v8AEJUvmNAh5MRFo7Lo5ATQ3NfWtdvcKlCaLEpnxaCdFckEiwN2JXYYJ0Gcc5NM7AsO6eSCu8p954pK1epoMIO36HvhCkeL/18BAhWZsNkreNDp9TSMkoe3y8SwNdnmelCedHkKvWyGEVzm/Qn3m0nwiB0PsryGBK9Q1kqMts3V6RWhwIlWZYeeviJEscNbTRB/BHVg9zkkuUdUxqLWozjipca6tQkeBKIueT7hBSDK3nEewcJ7MY+QXnMS4kISi9SPNRxvIsWtxquXRcfjCkss5Nfh76fJpsCtq+XBGL20h2bgXZ8ReyNMQyA5kanOQW8xcv45vLrQqUYhsG7wqosMOETNW1hIfLuosl1PtBHcEYYk9CGQwhdx8ejyRLo5D1hIBDa5SDOHxq9C32fFe8JrrCM9JOE8aXMnukcTK44bzuZf6yX6un/WvSK6q5Z+efqUt1zmh+AikNkkT+6WnIU+eoSfXiKMf4F1yDRvLyLUHfDj5cIbq0tSgdysa5CxzZ2SxnsxPC/G3L3oysEDIKe88alcWHYRi8fjvnWexanWBu2bWcfYt9bmgZHn0bjepoLpU3iFdfcNrYJzkJCILo7LR1nC3PNl+pxVX6WJZTvZ8fgK4fAedqI8mAKXjxbWlbETsoVurps5Z9nXngfjk3+h3OHwtm5mMfRQZ6u4opZfKRW3tp3JGDQXcHDmzMsO+t1V53H4uA7+YOoiK+tiY5Jp2TXELmcmtaDvFoSklNvNetbU0RjCLI7OOt5IvhxeoZYKItHkxnMgmis8nGNdgIRrSRO90sjj4B6WqVIOr1EVVmDbLpAu/bKnykcZXH1Vc5I7nz2Fg7Nudg1/VVj5bS4mL9Xc4972Vxg11Yqv1CYdmnWEzGnmGgvruGCH5dgEHpLiNEurp54HCdlzJ3Fw1iGOmPv0CEVEdA3sPSKURNblMBfB21Ox9PuUPcSRRQceTRs6IOShcgTH4Jt1gYLlXXdqbvsQdZ+yJ9h5cPKwp9ObrcBmASfBxuDZvM2Bbd1Wqwzv4JPlxXPPpm2Oq7AbLAqeBhnjeDHukx2djis6ZKmvuMHlgAVtpNznWa+xnYtu3taF1ydpF8KmXIeDcPuh7I7KuvC5fcT70Bgm4VGQclTWvTy7/Q4e359jso7TiI/EJTfQuWPANI7JujAsW/os6hTHFA7JukdpxLZ41Lv4kKwbbZT2aZCfdRVHZJ3+VBoxBUpzk7MHZB3HDOXwG+B8b5J3B2Td7MYkH4KdKWI5Huugrt+IS0aI082FeAZtx7hn3QfTiDnMWIijsW6rFqWLwLfr/k3DwWydftZb/SOAq7h/14Ox7mPDm0+gJ8ZpjuVhQxx1fvgmkFXcuYpjsW6mSuIb8Hc29lAeNqQ8gf8L3Hv2I7GO/EyVxFfA6d8V7w7kYRFefTeNuMHtGOGBWDe/v+GXYK974R/H1s2Vg30PN1WQh2HdbDnYF8GD0yMtOIqtsyu3OtkUVyOFR2Hdr9KIG4zzwJ2LrrJuYlXJbzDacWH3rMs3uXS63wEG2YV9e9iisNr0Nu/XgKso8zyHsHUr04jPSDvUJohH8LC0ruk8jXe+ufr/b8mUW0mKFTmCrVs5vIn/1ssujHsIDcs416HESQewdSvTCN6XvV7bdRmjm2oLtgBcfICzHcDW5V5eixGU74cLdGqHIpXguze7oiNUguz2b+tW7gwJagyLWp3yw0ITm9K7zdOCwZ3YPetwoavSCF5bKKXoAHmlfV//gHPmpmtvANFSCF8tQlgMr9LKfsgWF0alAB7iJ11pp5OHMr87I2mN3zvrusYHBBPE34sgXf+iEl/KJKM6pyUjMLV32OLT5k+C72jSztfD/ndRRnrJ4zvx91P4/CD5kpafiKjx02Xtzb1MbN5uQPMCWJy1fvH3i+A2gbsWnc1XlK+qfBVBlmfyxd/yb3iQRQ/kuak8q6jIDMekZZEdVJl/4aO/Ogn/wM+5dyiP5dnU0j7ZEzC/9/cR9PoOmFCk8pPK/nGO7VFZhOdYU8siYW5ShoBxuQdiEtfve5D/r2mb5kedARe2S+wxeSmIImAqS0cKSIqb5eZQJxgDAi5zFs//OKQG9x1cf7Ro4FMIphvvIfMu2FvoEqJwv9jSCxZAiBI3b1RicxM3N7da+aNwymyyLUgFmNXPPXP/or4nSkhq1LV4I1gli+Mf1G5/DBSUsn5LMsC2lb7qADLZIYz1zcJm0S8gShcabX7Q2Y4iwrj4vLHNAri26ymgjezfkqHV5lUY5C8tHLP6RZohm/u4+40n3wD8QS+tq0VfZDcPy2CoJWr5QRdPiiw1O2jYBiA9Uh76bImZVpL40Q/yDN100Wr/wbDos2zI21+xGf226Mh3Xdu2zeV3pWDvofTeovT1gQFYOqu1tlttHvV1KHZwxLstfNnWhdRlz/R9vm8DUv9BaVTbrhthXA9u+iWKSocVnfOC2hnqe7D1Zukdb5N04sSJEydOnDhxYgeY3MHuxDRkczp+kD3CSp/mgCenEB+DyObFSeSahjekkwlt7ZFmqg12Kf+XEWLbSV5Mvks8KMPHWqmoXep2sZhgrwgxprwLOMUyKIND0wn31GXLseh/DDBw4W4DgD/d5NHAWLrZn5hB3VQYgopeBmQc92OX38xsAHAiYxCdMi3PJJKrGwC0Sh5PzKB2sectnwiGj3inDnnlZN0T9BsAcB97acVeOozzBgCn6B6hik6kpFUD7qk8XZWkxuHELIrotATAmln3F6U2MSzYWPL/EzbHddBSeAjfGCRkWuqIv9Jh9tAIXiQUPBdzu6i5KT33pSfe4frEiRMnTpw4ceLEiW/g7+9/4UiCttXD85AAAAAASUVORK5CYII=)
The equivalent resistance between the points A and B will be (each resistance is
15
)
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)
physics-General
physics-
There resistances of 4
each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between points A and D will be
![](data:image/png;base64,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)
There resistances of 4
each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between points A and D will be
![](data:image/png;base64,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)
physics-General
physics-
A particle starts from rest at
and moves in a straight line with an acceleration as shown below. The velocity of the particle at
is
![](data:image/png;base64,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)
A particle starts from rest at
and moves in a straight line with an acceleration as shown below. The velocity of the particle at
is
![](data:image/png;base64,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)
physics-General
maths-
Period of
is
Period of
is
maths-General
Maths-
Period of ![fraction numerator sin space left parenthesis x plus a right parenthesis over denominator cos space x end fraction](data:image/png;base64,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)
Period of ![fraction numerator sin space left parenthesis x plus a right parenthesis over denominator cos space x end fraction](data:image/png;base64,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)
Maths-General