Physics
General
Easy
Question
Three forces are acting simultaneously on a particle mowing with velocity
.These forces are represcaled in magnitude and direction by the three sides of a triangle . The particle will now move with velocity…..
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)
- Less then
Less then .
![v with not stretchy rightwards arrow on top](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAQCAYAAAAiYZ4HAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAPUJuPDwAAAI5JREFUeNpjYMAP5gMxDwMJYDYQ3wJic3SJLCD+jwf/AWI1Ym24C8SmxDqJZD/gBUFAvBSL+F4g9sKmQQWIL6CJ2QPxSXy2fANiJiT+cSB2wacBpEAPyvYA4oOE/LEQiEOhbJDzLAlpAEVgFxAHAPFuYkIKFBrrgPgKEBsQo4ELiH8A8SZS4uMDEOtQLXYBfVod+na5rhsAAACIdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vdmVyIGFjY2VudD0idHJ1ZSI+PG1pPnY8L21pPjxtbyBzdHJldGNoeT0iZmFsc2UiPiYjeDIxOTI7PC9tbz48L21vdmVyPjwvbWF0aD5IkF6mAAAAAElFTkSuQmCC)
- greater than
![v with not stretchy rightwards arrow on top](data:image/png;base64,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)
in the direction of the largest force BC,
remaining unchanged
The correct answer is:
remaining unchanged
Related Questions to study
physics-
Three identical springs are shown in figure. When a 4 kg mass is suspended from spring A, its length increases by lcm. Now if a 6 kg mass is suspended from the froe end of spring C, then increase in its length is.
![](data:image/png;base64,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)
Three identical springs are shown in figure. When a 4 kg mass is suspended from spring A, its length increases by lcm. Now if a 6 kg mass is suspended from the froe end of spring C, then increase in its length is.
![](data:image/png;base64,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)
physics-General
physics-
If a bar magnet of length land cross-sectional area A is cut into two equal parts as shown in figure, then the pole strength of each pole becomes
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)
If a bar magnet of length land cross-sectional area A is cut into two equal parts as shown in figure, then the pole strength of each pole becomes
![](data:image/png;base64,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)
physics-General
physics-
As shown in figure, two masses of 3.0 kg and 1.0 kg are attached at the two ends of a spring having force constant 300 N
. The natural frequency of oscillation for the system will be .......hz (Ignore friction)
![](data:image/png;base64,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)
As shown in figure, two masses of 3.0 kg and 1.0 kg are attached at the two ends of a spring having force constant 300 N
. The natural frequency of oscillation for the system will be .......hz (Ignore friction)
![](data:image/png;base64,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)
physics-General
physics-
When a body having mass m is suspended from the free end of two springs suspended from a rigid support, as shown in figure, its periodic time of oscillation is T. If only one of the two springs are used, then the periodic time would be…
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6nDRGGWAaFCS4iSLt4xHXlUD+DUbmVT37qWj3lSa8yI6U8kQzBERXxtLn2FZe1rayO4jiXBl15iqe+ylE8pBa3ctIXn9Qn5emep47B4cmsjUbgAShXPCnsPHGhP5rIwrjnmqXRmCzqz//8zy9W2dLWAx/4wKPv/u7vXkigeMhUQ4hfXNbNK/y3ve1tSyM/85nPPHrkIx+5EN0godfTQ57lixjivvCFL1weq/xMy3Bm/60aIGx5BhYLwV/5ylcuS2rwPd/zPUf3ve99l0lVA7M48kZEeSKdAfmKV7xiIRQXpzwb1HxjZcw6Opee9rG0aoAIZ4mLa7DUPoGOtAwKedo2oJ7a81GPetTRPe5xj2VwKpu49GtX6chTX1haffvb375cs8QPechDlrqKI33xxQs9OQxI+Sovd+rHf/zHjx7wgAcs+upUuzivjUlhylE7OMJYvzXopLcLF/YbzzEbhe+xZulPB77kJS9ZCN/6rdUVHaiBNaqGEY84R1T63sCxNsIe9rCHLbP/HsXiCgcNqAzSEpeVky+r5HHK0iCeuHRH4owNbXAYVMrOSiEagnORxvIWv/KyejpdeenkcnBzEE4ewunLnwArj3AGF8vIzeHO9VKFXuQMwqSF2PJUZnXm2hgc4iO2ctFrzqPM0kJgbevpyiK7xxrrG+V1n676Ki/Ivz71RGbVGQsD8vnPf/7Sxus2JWO5S0u5uk9g1Ftj1NuFCyO5a1lVAeTSkN6Gvf71r18ssk5BNJ3HNwedULoam0hDg2pIbgCXRjiiIo9Oo6NRHUGnyl96iMOayl/a8mL9kUDHQfE0fGWXHktlUOloJDc5FpfbQVd6xYXiKiNrro6Qa8X1UDYQVxpJ5RUHceSJOJ423AeDg578iLyKq6y5L47uK6P2ydWRX2m6lpd4xc3d0ibVU570lE07l79raamnvhHHoHjwgx989IQnPGF5WsmPXm3SOTh2PqIwusfhuLjhwkgOskqHe8FSeBv2xje+cZnM6RANnoWQhjga0XUkBw1dp9TB7onr6LrGdy5++RdOoLzKr/PyLK68yrN47rvWse4BMhkAyCsd+RVvnT4BR2Ewls1RmUeCSLdylb77whCPXmV1Xj6kttJOzulFViQtn9rI0b3qUpkKg1FXfE8bqz9cx4c//OHLk46rpDziSWesDxHuGpyv0b1dKI3jcKHuyihGfBNHj2JWmU/nnsZGmjoz1Bg1SNd0XIuj06p0ZUgXChdP+qUlnnzrMGlGpFC8ylQ8ZecWsPLityyoY+nTIWAQC9NWY7gwxPOUUY7KJk/5RTJ5EnAc0xEfwYRJg74wA6424ra4B9WFDmg/cYXLrzwDkkZUMpYD6BL19kR+0IMetPj/uYD0ils7g+vqBqUzonu7sEt/xIWQXBYqNRZGg7LciOGxqJMqCrLrDIQgxS+NdaeXJoJEGmF1ROm6HuPVoSxZxKgOwmt8YY4tLSqHsMqM4Px0vjMSmDTzfS27IZB0hYvnWrogfvlFKm6cuiOmcoE8IwlUN0ftSKRNH6HkpS3oSDNLLX73HJXFU4eO+PKujPITxzU4V1ZCv7QcK0tHaXKn+O9cK/WXjvtJGOsUdp2ntwt0xjhrXCjJoXC6Kh8BxoK6J0xjamwojfRqqDFMvDEfAlVxjCesfJGg9EddECZd1wYcIGfh9Llar3nNa5Ytperzfd/3fQvRWTNklQ/94oB6jeWrbLUHoqk/uEcq21gH+sojPfriyaMyp7eO231xCpMvvbHNK29lAfrqIm9oQJRO5WAUMiDVH0bdMVy8sczVu+vjMOrtwoWRPBlR4VR4q5DXCmOjb6FyV8aeFuLraCtElgZbOXnyk5+8rPR4C7pOO+svPDIF4SdpB/qRdZ3WCDr1TU+HoA7i78p3TcA19rVf5BZXWTMOY3nTgZ4gXY/lqg924bjyh+3ePScoQERW2DqzglVRgiR1SNeFiSdMY3lEe+wWTlxzdWpM4v6o4xwxs0LF6xFOui8d+um5Jsqd1ZGfx7x4Ooi1l6/08nErkzRqA/rl6R5dL12ElZ+43ZemsMpBX770XRfHtbLTD9q+9i8tkLY0lK845UucNxjdE1cc4eCYjHA9lt21vCtDGM+vJS6E5GvU0dBRI9awNahr52uhk146hRFhyRiegOOY5ihrXXAegYJOEy4f5Y1ACZRO5YHqT3bl6Zru+l7h3ZNORBnzpzvquU6ve+qBhKH0k+KPaTgXhzgv3lqvtEL3lMGA0W6QTgOp8PPGhZB8rPRYEeF1VA2ksqDDuiZ1Ug3So41O6QgjrstP+Jinc1ZY3DqnNIl7ievi0ssyBWmnJz/EYRWdl6b7XITquI6XnnLz313LSx1gXY7SEO6p0aQyIqVfftVxzNt5k9UmuOK5V76O1XkcDOI0oELtTZwTaSkHGfWr71qv/KF754ULIXmFB+dJGMO2ZITGImO4813hu1CaSXFGCTU4HR0yYoyrkyPV2EljeQovD7IO63wsE9Dr2r1RxvD0O66RnrqM8bu3S7pXnDGs4/q8tElY63QdxjqeFy6E5LCr4GPY2BjCnK/11ygOvZEohW3FT29MY5e+dJEXWFsWp7zGDlnHTweEl8dpIK0xr3VahY316P54Pcpo8dcQJq0srHNwLF55QWmuUTqJ69qlOAmMbXaeuHCSk7HSoXudjzqjrLFOB1zvymONdLb0IhcdJHccLXZWWzgCjCQIDZLycRylvMcySFM8MhJjHSd0L4y6oxSuLso5wr3kuHijFKf7JIzno34Y0xt1YZ3WWXFhJD8pzlLJkzTSSfTqkAjoOJ5DOmO663uh+FCc7nev+/swprsP67yOwy69Q+KtcZo454kbluQ3EnYRrU6LiFndNfnTGTt51B/998hASmOMN3E6TJJvIKKNZEQ6j/m1X5rOKMLEWWNMc9SFSL52eSZOj9mKByBSjiQfiRjRR/JGWnDfPQJjemsB+mTt3kycDpPkG4hsI+ESiJQgDOlNPE3qmtiN+kG4+9anrXWPk8AGSWvLYx4Tp8Mk+QFA8ASy0hFQeARP1sSGrDcUJ3G9K87E2TFJfgDWBGdhR8JmxYlz4emBuGMYyaURvk7HIGHlWfhJ/LNjknwDkQ8ZCSBdVjcCRtR0IMJ2vmWpi98kdBwAE2fHJPkeRN5IF3kdifB86MgJSB3JI2txgvDujemsN0GNcSZOjknyA4BkoyWOnEiYRPKR0OJAZEX6JpxcEtd0yOiiOC/uxNlxoT9kvowYSQuuWV0kZG396t/3SfxowvcYhT3mMY9Zvh3jC1lIa4suQvcEAEfXI7lJOmO+xbkZUd23aLqvjSbJD0B1UT8EJ8joaGutXwS99KUvXf6ixAd9/L7TL9T7gI94We4GiSNS0/GpB78H9bkI536nKc+xa65Se54E1XuLpnS22meSfA80j7o4Rk4SYe0h9xvP173udcuXqnzLhQVHVta+DkByR2k0WKRhndyv2/3gF8l9k1F832Nh4W92xCNtfRxq4+MwSb4BTZOsEcn54j5w5LMavq3o3A8RkJrroh3o5mMjdyIu6ddGLLgvVfVVLgPlHLvnUmKS/BpD0yRdg7pFWnX2DRmf1vClK1+cylI7plt7CAf3+Ori+rSa+Px7n3LwiTwf5fFFsDGvmxG12xZN6aS3C5PkG9A0SdcdR+KpN2vcb0BJbVEHFDdEcl8S8wk43xz0CWrXLPjTn/70o3vf+963rLZchfY8Dar3uv1G1MbHYZJ8DzTPKLkaNSxXxLFwbdD90U2pmcc0nHNX/GLeB0h9TcxHSFn1Zz3rWcsXc/nmvl9yVdrzpKjetd8u0Nlqn5v3OXggRlIC0q6Jq4FZW1bXZNFkkl+OnM67ToT7ypQPjPq0sYmmL9z2bwxIj+g+P8fal/fNSvSzYpJ8A0hMWOeeUqxzL3OQPZ3gnHU26XQUzzmy+oX8+I2TkbxWWHzN19dfDQK+PR+/X9VPnB6T5BvoMZhLEkmRFiJ5g4COAZAFd02XZfa9R4LswOr3RACDRlyfVbac6F6DYRxEEyfH9MkPQGS1EqK5kBghETFrPTYjchoMvoiF4D7gKS5wT/jZXgIZCNIhyMx6+6aif3fgwnBf+vNbOspxsxE+Hm3Vm84W3ybJDwAyIyGiO6ob697EEtERmh/tZZB/diBWTISLo21Ya24JX5zv7S2nj4JaG+eqIPLLXvayoze84Q3LSyEE9/a0v1uR7yT5/wadLb5Nku/B2DyRXT2dV0fLfv59wqebrZAgOLIjPatuMIwujGsTUET3HXP/yGDiyU157Wtfu/z7hu963+c+91msuSVF7o24k+T/G3TS24VJ8g1oGnUizhGtsM4RHKnf8Y53LHtYfKtcOJfEa3pkRmrWGMnHvylh5aXFdeGS0PHW1OB40pOetHzEvv8ylcbNiEnyawxNk+V2jmjqJQzJTSL9JYzvkvOj/XMG14WrQRC0j9zzxcVBbn8+4C0nsUwojA8vH4OGS2OdHMmd9wS4GVG9J8mvETRNAmOdENdreH8/yIrbu4LgrLe/8+N+jBPLfGrui4mouJYIc3NYcP9/Sc8/pv3wD//w0f3vf//lWl5XoT1Pg+q9RVM6W+0zlxBPgPxwlrxGN7AR1/KiI3A/+NdcEJNLRy4H16V/fXNEYJNZ1tyrfaS3GiMPA4T09LhWuJZp3yiYJD8Ao0VH8EiO9NwRpDaxFMbPRlqE5ZZwP7gj/b+lcD63o2vCRzdAkF6azklu0rXEOGCvKqa7sgFNQyJCAgjJPeGH+zsVLotJJ4tuWdCqCT+cBedujMTlfxsACO5HFpGc1WbJrbo897nPXfau8Mk9Afa1Z+UasStOeu6plzrId5zYpjPqjsfg/r5ynRWlv6t+gc5WOSbJN6BpSNaba6FeJpCIK2z8q0a+tXN67rPyCJqu8F7vk9LzJEBmTwN/Z470T33qU48e+tCHLi+FrKtLozLtwnHh635ITziCG1zqQ6A6dw50S6fjmN86j/PErvzWGMu3C5/zf/4bnzk/My6q4hcN9crqcSdY8eAckVlsPrT7iIz8JpfcFeKcIHAviJCX1TfR9EMJf6TFlTFQWHPCfzdYTuubjwSoHiCMUSJZ8u6tCTWmMeIi+vuQdI8rX5iWfAOaRp1YXOesaZNP4cKQwxGxkZk/zv/mjiCzlRT36IsnDRab5baWTrg1wlj3X/mVX1leCPnBhNWVhzzkIYvr435lImscFxYBiheRK7drdQKDGKojCeN5GPPcdR+OCz8UxR/zWoPOVj6T5BtAgEgOiKZewhBC0yEEydKKQx+5s+LIjuj0uCaIbXWF9W+yKY4B8pKXvGQhuXt3v/vdjx73uMctFp41B3nu6rKtsPrCdYOzAUvW9VSX7tEVf0wjjOe7MMY7LXblu8a+fObqygY0nA7njhBkyPIhZ34swiMx/9Z9BKLPfeGSWE4k3A8kj9jS7ygNE1JxuCjCS28fmfZB/DU5kbq0E3mSEWsCdU3SP07GeNcT05LvQc3jiBSQ1SbCstz88Kw3d4Ugv7hZ/gZAS49t1vKUkI5fBr31rW9d2tKPmf27821ve9vFsoM0KtOIQ8LGuI710XhMp/ohaxjjQOeleS1wSB6V9ThMkm9A0xD1chwbU+dHdkS2HPjhD394efNppcVyIpKzxnSL30pGfrlX/3Yh+vGySahPWxDEt0nrUY961LJF4DTuCqTf/bVbZfBVpsrZYIZIPobVDgSOy/s8cEgeY1l2YZJ8AzWNI1EnRx2OLM5NFn2Gwmt56+X9GJkOYrLACB2ptJFBwTUhENm9HfUVLq/6rZH7f/673vWu/2s/OVljV9hY3uLliztfkzwdAhHcdWmAcGnXx2OcEaPOaTHmcRz25TNJvoGxacbGVk9kQdZ+gPy2t71tIbiXOVZDTBa/7du+bSEut0QcA4Jbw8J7CWSpUHyrMe7Jwz36z3/+848e+chH3rIlIMLBri7bFSY94ceRXDihp3zK5pqOucE4sNx3BPEjeumKN8K9dM6C4pf3LtDZymeSfAN1Xk2k89VLGEvOB7cDEcHtQrSKgpRe4lj7RlYEzUqymqwnQrP2XBybsjwBvATi4rD6fizxvOc9b9mFiGzij+25q8v2daP7pMESucETxfq9H3konyVN235NgOVfnSPymuS10VgG924Ukv8/8zBxLOrENYSx5qw3gvO/DQQkYcEduSLcFhNMpEEe97gnRJjBgBDSMniKk598VqJARFBm9ckgSd+g+9SnPrUMWLsqzS08XdSHfvmPx/F8Xcbx/EbAJPkejB2qw5GjlRKEbIWEBRbOInJDCNfDW84GgLikvSuIxZ8XB/GsnyN2KzWO9OV1FlQHEskjL0FyG8Y8UcwJ7JG3Zh/JoXhhTDNB9gh/XoPzPDBf6x+AsS7qSHSiTvd4R1rWHFmIcCTN90Zmr+ud+1kc390+F0ckF9+yorV0eUnfiopr4edl0cf+AU8dsEuSq+JndwacF1XmFX536oliMKtTohzrski78PMk+CHplO9xmCTfQHXomFUdG3WcyCE8siMNQhMrJfxu5EakfiDhJ3PIz1oilUmqV/msNyvKpUFy1h3REe20baps9c1Y9srtaaN8dlLKX94mzkiufp5QXKmeYJF4V3kK23XvNDgknePKEibJD0D1clSv0VIhAUvLXUFGKxLIgOwml4jOWueatJqCNFwda+OWCQliITg96+RNAE1ez4vkyi4tR8Iyc6eUzxq/gaxMniTyb9BxZwxi9St+5Sntrk9bzl04JC06W3qT5AdgJIl66eDOdbiO91g3YWzSmJsB4kYqYXx4P5PzEsgqDIJ7q8mis/ytspiU2morzdI6DdZlH8s/ktxSqGuuilUiAzj3Splce7qob+lIW5xQv495ngWHxKezpTeXEDdQBxLnCF34SBbXRP1ZO9aPFe9XQPxclpsOgnBBuASsNNIgsfbiw7/4xS9eNmgZCJYSH/3oRy+ujIEz5rXGrrBdiBD0lV+ZPV0sgb7oRS9ankAGnqeKgeoPBhBd+ZXliU984i0TZO2hbep36dXvpX9WHozpHYfqdBzm6soeaLw6C4GJBq9RuSZ1sjVlLgiLjAjcDAT22LdcyCrzcxGcleaSuD++eMn9gQbXeUKaypx/Lc8Gp3uOBqj5g5UWwuWqHq37V3/H2kd6SfdvBEySb0BHjZ1okogEhetMBLGi4pGfP+3xbnLpBY9zrgArjTz8cTqW6Uw+uQEsvcmfdBpEiM9lYS3ldRpEuFB5SQNI2pFbOEuuvCw498ULKwP3wQ9+8OJWecJE8uIbmNqoPITlt98ImO7KBjQNiRSg83Rq9XMfwVm7yI283BSDAnR21pNIg/vB4nNZuCMsPAJxVbgO97rXvZZPW9ikddq9K+uw9TWyCmO17XzkKim7uhJ5KpMfbzzjGc9Y5hAIDwYFUbexPcC5cGnvKtdJMLbzcaAz5r/GtOR7oHGR3FGnR4zuIa0lQ+RATltlrTcjO6vNMvLR6fQrfZbSsiJX4Ld+67eOXvWqVy0f+vTHWsINDuTvF0EGxVmgnA3SSEnAPQTpiaG8fHRPG2v9SK4cJsoILp3qr13UX1hpSN/5qHe9MS35BjQNieQ6UacioUmZMITlliA4i4jQfG/LcKxzejo94ZZwXcRFKIJQ2gxJxGc5WVB+uzSEB+mtsSsMhI+C3OrhXH7q4u2sgWni6eip5J55hMmv/y8y4fTE4UaBNhGXXoPGufrVXso8lvs0kCZI7zjQSW8XpiU/ADoqS1djCkN4lhm5+dbeXLLA97vf/ZaVCNtl+bI2Wjm6ftjDHnb0iEc8YjlyR+wjN6lDentGHJvkcWfGSd5JUXnX8deEqX7gyJVitT251MkTyYBsIBJxGjCupYncEfxGwiT5BupQHUnqWC5EbgtSmjiy4Cwu6+0TcZbgrLAgi0e+Y6stVlbajtubRbrlJ21psZqR6LQobmkrcwLSl1+DSfn6lqPlTST3pOFGmTwHumO7ILdB7wiF3wiYJN/ASAiP4VYgdCDoRNaOOEd0j3r+OavM+rkmVl6QpBUYqytWMExWhUkT2Q0gKy18eBPaVltOg7VljeTqMoYVjqTyR3CfjDbRNDCVpfrQoRuZxQ2lCdpjvHc9Md94HgidygdVx6wUsiAiYdEdPdJZv3YfIjByIDiLj/CsYt8yR3YkQi6+uHQRif+73qB1UiizMkJkDtUD2rtim604t7vd7ZY3sFwvA5eYR7g2AKRTX5fueK2spynvLoxlPg6V4ThMkh8IdUM+0IEIMnasc1Y3YiMzfx2hERmJ+O0sImHBrUEbOPxvpPLDZWkYKJYNe6mE6PI7aZtmxcUbiVe5XRsEBqBy+r66a2XhRiF1A1aduFlNPrlt4kt7LTAOrrPgkPhjvrswSX4C6LixQXVy7krWlo5X4MhBWHgkQtz8d6RBZtbbCgZy3+lOd1oIRI8+3xjBEc1EsNWLk2AchBFyhDA6yuVpYwKtLpHcQDOwLSsqt2tlNMdQJvEJlLb0EmEnLfMah8Tfl88k+YFQn6xpHegaKZC1CWav84W5jwSOSEoMBnr8b8T2ASH/C2SbrbgspvV0uq1RO4p3Uijjuh8ie3Vw5I40DzC4ENkSKHdJ2T0R6CC58ghX33XaIL14UF5nwSHx6WzpzXXyDWgaltlRfXSaa9bNOSIiAbDeXBVEYYlZR1ZZGIsO4iCrAYC43BQugKNwRHv5y1++/DEWHRulfJIC6U67QWusA/RE6Kmkz+RrMmyO4Anj6YLk3CX14GaZJCunJU9W3vr9mG7ouvY6Kw+Kf1z9gM5WPpPkG9A0OjJCIIgwJHetE5FcmLojCHEf6dvT4nFPR3zkRVhHwr8l4nMJfAvR20+DwIuYxzzmMQupzkryCGkwVWYiX/dYak8Q1/LyVHFUH4PWHENcRCfKTndXvtqFnAfi0a58Ap0tvk2Sb0DTkOqi41xXT+HCkAQZEIUlN+FMWEKWHOmRKwvO1/aqnNXkBkjLRPSFL3zh0Ste8YqF2N54etvIqp6W5KH78hn7pvSqg3N16inlukErnvBxoByHMY+zoHT25bWV3yT5BmoaR/UZSV79kIOl9lbQSxOPdj98cM4ysubFEd9KCZ/d4z63wEQP+Q2GX/zFX1zclXvf+97LF229FW17AEirco3YFRYiwXE61aUjlE9xR3TvIlDeW/ntKuOISfINaBokZsmgfRuus2SsN1K/613vWvavtP+amyKuxzoCm9AhuXC+uoGhjfi9Jp3ekiKzTVr8X9sCvPr33XITPRNc+vLc1WVb3XgefVEaW/lcCxySL52tOk6Sb0DTkOrlMe0ayT22Pd5tbkJsW1XtPLQ6wp9FXhabm8EKI7o4CN7klBgkBoMBZMXCE0E+z3zmMxdLztoLN6i0aWVaY1dYuMx9Udn31W+rjpPke6B5qotjvivLyhp7gYLgvqKFwKwucvqBgXNx6LPoyOvlDxeGrgHCar/zne9c3oDy4Vl8e8h/5Ed+ZNnYZWCQEbu6bB8JLisq+776bdXxfKbAVxwaGLmJc1aV6wH8aNbYxAzxTSK5H5baHL0id7QMaKLptTjXxH3r5Pxxy4iIPKbhaeAJIPwyk/RGwCT5AUBs4knlGMEds7SsNDLSYeG5JL3ddM0XJ1ZbWkM3ONqTzV3h3iB5eTWoJs6G6a7sQc2TJQeWHLG5HX3R9i1vecuyoqLed7nLXRYL3ptBxKUvLZZfPMS3+tI2Vr44S87ft+LyYz/2Y8uHQ5HfABqxq8u2uvEy90Vl31e/rTpOku+B5iGjVc2Cs8JI6pdBdvDxq5GV/823RvDxFb80EJmIG+H57KVpM5frH/3RH13ednJlTF57esCuLtvqxknyrdgnxFUjuaYh6uWoTiPZWF0Wud2G9pHb5IToXBNkRVzWWFxp9DQQ3pq5l0NWY+i9/vWvXwbL0572tIXk/Hlr6vRLg6yxKyxc5r6o7Pvqt1XHSfINaBqkjOTjhHMMZ42RmvthD4httXb18ckRXTx62kR85GblEZultkxoiVGav/Zrv7b8uNnLID+Zu8997rPc5/KILx2yxq6wcJn7orLvq99WHSfJN6BptkguTD0L44aYVCI4snspxCWhly6ycj96vc9vJ6y4gdJfHAqzlNhrfS4PlNYau8LCZe6Lyr6vflt1nCTfgKYhEZqoF7KHwon687WtmnBjiGvxDYQkVwXZE/FZfn+KxZK7tsT42Mc+dll2pDPmt8ausHCZ+6Ky76vfVh3/n4M5sRORiuxqTNfucUuQ29IhC25C2q+B+OvOhXkB5GgzFlIbCOIaCGAQWE3JBw9bnTyxjWnJN6Bp1AkJnbO+SJj7AuppAsrVQO72XiO2Cal1cvri5lezytwRFtpSIzG55O7YZsuSexnkx8S7/nZ8F7a68TL3RWXfV7+tOk6Sb0DTjD5569W5H8IMABNOv9v0it//7iC4lz38bK4NaRkRkcXRPsKQ3RtQv4xH5je+8Y3Luru95L7fwi+3LXeceB4H92r39C57P6zrswt0tuo5Sb4HmmdsIudIzp1QX5usbMxife1hsWbOD2eJvbLvBwYILx7yc1Ns5HKUBh2/8/RLIJu9PA18sYoVt69cWuMS4s2ESfILgOYZG1EdCavOB0dwG6wI0lr39rtNBHeeNQckZ8VbcuTO8M9t1fU06DW/JcNnPetZyxKiZUauzlVpz5Oiek+SXyNompHkBFH54NwHVplrYQ84N4W1tfHqSU960rIPXHtwa0C80iPcFpNPg8RHQm0L8HcmrLrdh/7H0w8mpDmu5txsiEfa7DjUN8dhrq7sAXKyrqSG7thyIBJqZKRG3vxuenTSY/0NDtY9F0aY++KnR6eJqrCJs2Fa8g1oGnUi6oN0whAYQdugxVXxz2leBNmz4m0lXxphkblVGQMml4Vrwl3hf3uNb7LKZTFg+OcveMELFnel5cSbFfFoi6Z0tvg2Sb4BTRMx1QfZhHFXkA9Zvdlsg5Z9K9bJEZ0/HskJfXE9EbwFtT5ueRHZpYfcBhEfXV5I7uu3Jp3iX4X2PA2q9xZN6Wy1zyT5BjRNzeOI7JBb4bpvlticZQchkrLorLz74mmLrDmSGxyIXXjfXnH+pje9aRksz3nOc5bPUVhWNGhuVr88Hm3RlM4W3+YXtDZQHfKLERMQrrAssBc8Nl05GgBEOCC781ZanCOuXwB5IWT/ud2Grhss1s37wE8D5Cq06UlxSJ3pbOlNS34gENWEEtkiL2g+9wwArgfL7s2ndXDLhLkkCE7AAEBcBGbBvewRJs5P/dRPLV/ReupTn3r0uMc9bnnrydJzd7TpOXbXpUA82qr3JPk5QBORJqCssWvkdo34RBh3BLktL/K7uS3iiYPIxUd4fjvL7yie/S0/+ZM/uZDcyyCbs/okxST5JPk1g+apiZATkDsJuRPVm2VH3NwWaaSfHimcxfdS6Gd+5meWH04guR9NTEt+dpLPRdgNaNhISMaG1qhZ58ifvnuIzUpbGUlPGEFY1waGdK225Nq4ZtnHFZqtDpzYj0nyPYi4xJOqpxWCRtSsONBrQAgfrzsn0mHt+fkIbo2cu8LFMTDsSuSzZ8FLe+LkmCTfAHKNZG75r3sQaVlrhBytNJ3S6BxRGyyFSdc+c1sEvBQSxkXpF0PiT5we0yc/AOrS6gnCcUOQWtP19tJEs8mmsCx1g6B0YLTkXBWrKsjtzSfC+xDRD/3QDy2/7zRgcoduRtRmWzSls8W3SfIDoC6Iy61AuL5NqOmsnngB9L73vW95xe9FTisqyCweoStOy4/cFINCmvQtKfrCls/L2Rbgb8d9AHRfB151VPdJ8msIzaMu6oaMLDmf2RGJTRZZYPvJ7WGxQsLSmziOeiy0Y66MdIVJF/m5J/a7WE3x206EN/E8x+65lJgkvwBongRJ1Suiqi9Xww8d/MLe55tNIL29tJ/cG0yEF4cbw3oXn0XPsjfR9FLIXnIviPLFz7F7LiXi0VY70ElvFybJ90DzjE3UOaKqr18GIferXvWqZU85Mj/wgQ9c/uzK/3JmjfneLDfiijuKyarBwA0iXJfaz8C6mTFJfgEYm0edkM6EETHdsxnLbzv9BQqLzv/+3u/93mWbrAkkkmsXBBcPyVlwIj3XjpGd1HbSP8fuuZQY2+I40ElvF+ba1IEYGxLRs7CjRc794I9zP4iPCBHn/G7CHbEGLpwF55qIL/2IbWAQ+dzsRD8rJslPgZHwjlljQMjRJQHkz0o3GNYiDgnSudldlfPCJPkBiHBZ1ZHUQXh63BJuiyMIyyqP94QVL5RueU2cHZPkGxiJi5CRluVFxsJHtyL9kaRdj+Hdk06WHIoP7qU3cXpMkh+ASBlBI6TrSB4Zs8QjOcd7SdfjkV4DZq07cXpMkh+AXWRDyEgeKVlkfvcuH9s5fzy/fLxXOtyYdXr0JtHPhknyA4BoCDe6FZDlTUayJnQaJOlze0af3D3pjjKJfX6YJN9A5Ix4owVGzgS5kdZaOPFmkyC5e5E2vQaA8+5n5ceBNOYxcXpMkm8ggmWpu0ZMpEVM6+Jr8iOq8F7dBzqu6ScNAHAs/fKaODsmyQ9AhIt0jpEcaYnrZCTxiPHeaLXHdDt2DuJNnB6T5AcAydYWN8vN6o6+NVmTdI3SCXSlA6U95reV1sR+TJIfgMg7SlgTery3D7t0hTWAwknSnPjfmCTfAHIlu64jd9cwnm9hn175HJrexPGYJD8D1gTsehLzxsIk+RmRtR1l4sbCJPk5Yk4Qb0xMkp8jsuLTot9YmCQ/AOsVlF0YCd5xEv3GwCT5OWJN9IkbA5PkZ0DWepdM3DiYJD8Bdq2LT9z4mCSfuPKYJD9HzCXEGxOT5OeI0Y2ZLs2Ng0nyc0CTzQSmVb9xMEl+INYEJrbYtkW27bHtLXf0o4nx3iEC0kzmYDk7JskPRMReywik9OVb30f0b8vEp5ld+xCof4UT5tyHQoX7c9v+Ia6v3MKu9CdOh/ktxA1EtJqIpVUv145+o4mgPvTpW4i/8zu/sxD4bne72/Kvbf6HkzXvB82lA+L7dZAv2vYZOf8s4ejTcVny8rxZUd3HtluDzlYbTZJvIGIiG4wkd66+LLC/HffpZiT3vz/+RZn4y3A/daO3q5lzaXw7EcF9k9w3yn183wAov6vQlqdFdd+i6b42mv/IfCDUB+kifQ1L/DK/v1FBXB/zRN5+wS+8o7iF+5yzf5vgtvzVX/3V8lQAn24m+fRXrS1PgkPqXj8ch2nJ92A9cHMjnCM9IKm/Ufn4xz+++Nyst3uInF5t08RUGvz3fHaDRF6suL8hv+9977u4O3TJzYrqvkXTfW00SX5CaK7qqY4IzUL7TjlBVqRG4v5ZouuaurZBchPPT37yk4ub47+HDAxuy/d///cf3eMe91jSNzBuVtRWk+TXEJpnXRdhWXQEdN1Hg7RBltx9KL5rOvTdF9d1TwL/WOG/h7gwP/ZjP3b0iEc8YpmEcluuSnueFNV7i6Z0ttpnLiFuQMMSxEVismsgIywiIqRJpL9E6V+VuyZWUfjriYmpCaf/GPKHWFZlXPe3h/x0ln2rgyf2Y5J8DxAsK93kMaIj91qgAcFy0xWvAdLA6Z5z8fyJFqITfjlf/U//9E8XwpffzWrNz4pJ8j1ALG4F4YbkIyMnwo/fPKTr/vjlWroQyV1333nEdW5FhSX3L3Bclk996lMLyXN7Jk6HSfINIGAkR0wuSevXWWgET1ybTJp8IqmJqEmlVRc+t39dNrn89Kc/vdzvH+HGwSIPro5wOgaHAdVgmDg55sTzBBjrlzvCIqura6T26h6Z/WktQls9QV6Doz/A4rt7s+nf4bz88Z+fiE3XXyX+9m//9vIy6Tu/8zuXFZav//qvv2XyeY7ddSkQj7bqTWeLb5PkBwKhkVVz5YKAenrr6XU+i/3hD3/46CMf+chCcoTvX5xbJSk+UvO9TTqR2Z/UApK/4x3vWP56nNzhDndYBoRBIq9z7K5LgXi0VW86W3ybJD8QLDXCqlcWGfFNEBH6ve9977KHBcG5K+5bQUHmCJ6b4z6rb3AgPIKz6Kz32972tuVvzP0X6IMe9KDlhZAVmnFg3UyYJL8gaCJ14yePJGfZWe/3ve99i/Xld/Oj+/twKyaWCfuPfekQA4NfbvWkZUKTTrq9EHr605++/OGt//ws/s2ISfILQMRktQmysaqEZfcCh/X93d/93cVCI6VX8twMFpgVz+oT7YLELDlCf+xjH1tcHOcGiPu3vvWtj5797Gcf3f/+918InqtyM6J6n4Xkc3XlQGjErGkNjrRtsmKdhXvhg6R3utOdFqI754b4n32uR0eTTuEGhXgsO8KbfHpSIDfrbjDdrAQ/L0ySH4C1pYjkjqw0UpJ8bpaa8OO5NAaCY349X5zVJ+4Jo09HfIOnPCbOjumu7MFI6OqHzMiNnJYL3/Oe9yw+uTVxuPOd77ysmnix04qKIyC4LbVe27cxy8SVBS991v85z3nOMvE0cW358GZE9d6i6doIrTFJvoGaxnFsJnXLaiOsyaeVlQ9+8IMLcQ0Ae1X45K2q8KtZaNabe9PqCutOn+/ORUF4Fv0HfuAHjr7ne75nmcRKK1fpZsMk+TVG5EZOyD8WVv0cWWH+tFWW97///Uef+MQnbrHMCIzg4iD06MogthUYVp9/jsxveMMbljQe+9jHHj3kIQ85uuMd77j47dIp75sJtfNWvemktwuT5BuoadZN5LqGVWekZaFtmfWjCXtOHLkk7rPC7iM2IiM3N4SlR2DLjSas7r/kJS85euMb37i4PFZXHvCABywvjUxCy/tmQjzaqnd9cRwmyfdA89RE4xFxHbkWjiwtcc6Fsf7tLSi/HXm5J+7x0291q1st5Eb0VlE8LQyKX/7lXz565StfuQyGu9/97otF96LIwCjvmwmT5NcYmkadEBmsoKhX1jmiCxt9ZqQWzk1Bcj44aw98dMRG8HUbIfmv//qvH73mNa9Z8vAzuCc+8YlHt7vd7RZ9OMfuuhSojbbqTWfdliMmyTegaVjYSM7iqhcSO0Z0UHcTSYTmjzu2XGiHIXKz9A0QA4a17ocUrum+7GUvW375b4D4rIXX+9OST5JfM4xNMzbkuI5tMmoQcEf44l7te4Np8mg/C1+c5bbJypFF107imXTagegXQZYNDSIkf/3rX79Yb29Ovdo3KRUXzrG7LgVq8616j32zC5PkB2AkdwTPVWGl7Ta0MYtYTmyJkF/OgmeppeMpwGITaSGviafttPauWG//6Ec/uiwfIrgBYDC0Vn6O3XUpUNtv1ZtOerswSX4AIpf6RXLuBMIiOKtt/woLzlWJtFwRBGXFWXvui/i2AJiUsvyOrsFA8HqfW/PkJz95WUJk4ftIUeW4mRCPtupNZ4tvk+QHQjOpX82FkF7Je9vpy1lIznojpGU/+1b43K5NGll8rgqSO2ftkdwbUy+RuDkIzrLb9/KMZzzj6H73u98SnxszTmxvJpwHyefelT3QuEmNOTY8n5v1RnAkNkFkyfnUXvLYiOXaxiznNmexzu7zx/nb1suRXxoGkicA6+/oiXEtCb5FnquCSfINRO5cFOTOFwfhJpD8ZWR0H9G5JdwT9+gjrnPWv1UWEE6v1Zr87pYgnZNDUFl3CZTWmKbyV7erjPktxANQvRAVECPycln41F4AOUdyJG6CafLJDWGleyNq73g/brZXxfq4NLk38iDcHX69wSM9+Z22TUdiB9fyVAfn49PiRurHQ/Kns6U3ffINaBqCDIBsrhEYEdUXca2qvPOd71wmoCaifHBvNAl/Wjxh4rDyBgQXx5F/LpwvTkxeDYinPOUpy8STi8NtkYY2rUxr7AoLu/pCmHr0xCHpjWmN5L8e2FWmNejsqmOYJN8DzdMjvQ6vUYUhihUS5PQJZ7/PZLkRmIXXJiPJ+fCsvbgmlfal2ITFV+fPe9tpGfGBD3zgsoTo1/p2Io5LiGSNXWFjH1SHyt6TCMmdKxuM6ac3pnPRKO9d9QvV6ThMd+VAqBtCOGb1CHcCAbPEiNqaODKLE5lYcYI4CG4C6tX9Pe95z2VFBZnbYy5NFtyEtQnoSVEfKDNB9Mo93huvR6x1rwcOyXtfGacl34NIwGKzws6ROaveEYGQml/eq30WPWHZ3UdWKycsOOF3u2bt6fRa30DyqYonPOEJt3yXBZRnV5ftCqsPlE3f0Mlqj/c67zjmIazw64GxTMdhXxknyTcwNg0y8J/Vi5V1TxjC5C8H4YiO3CaefGwENlD46HYhIrgdiZYPA30btLzWlx4r//jHP37Zu3JakqevTI7jU6g4HatDceAquCvXd1ZxCVCHa0SuCCuOKOO9CGSQs+RWS0xAfXKCReeqGBiIKg3WPF1+e64MS5+LQ5dLQ7enxUmhTKDsowUn3av8Wfquk6uAack3UKfXRCy28wihjkjIwrPClgP9QohfnYvCiiMzC85XlwbCIztfm1X3QqjJpb3kb3nLW5YfTdig5a2nl0n5+WN5RuwKa/BF7AR26Yfx3mkH2HnhkPKO9dqFSfINaJoEdDjitIQYAayuWFnxDRbLiK6tkefHI7knAKKKXzu5Zq37VAXC+36L9fOHPvShyw+ZTUgtRRpM2nQsz4hdYeNgJMpbv6TfPbqeJsINRNIT63piXd5dqA7HYZJ8D2qejoib+yGMxbZs2O5B1ptVtjGrn7ohqHgsPtJzUfjsdIkw95FQ2nz1pz3tacsemNbaR4u6q8t2hUVyGAclCI8c9JTBiyqDsH3uzQOuJ+LRrvqF6nEcJsk3MDaN86ywIyuMtNbHWV8kN8lEkL6ghSgmlkhKl3VHJsKNQSouzoc+9KHFevPjkdqHPp/73Ocuv/E0QNYWdVeX7QpTTuH6Ym3FiTBH5ZG3jWIGmUHKhbLyo57pXQ+MZT4OdLb4dn0drksAjRtZiA6PeMKRFblZZ494xOBP3/Wud102YbWK0n90evHjFz/3ute9ju5zn/ssL3voGRwGQevonhQR7LSI3MrqvLqM4gniaWJtvk/e+bGHLw542hjUWwS6DJgk34PRSnSOOJ0T5GEBWyNvyZCFRH6CvHSQygqKe7YENEEF/jlys/qEPiKeFQ1QafUkqh4gLwPV08TE2RZgdZB/oFu9LxsmyTcwdmiEHsN0Op+bS+KIQJYP7WVhDT3++etcGv46AiFSWwDoOBeHS3P7299+cVcMlgYKoiHoaRC5I3hSeuqiDsIMQuUw6AxUA5Feg6IB6vyyYb7W30AECZFcmCMCEARATO4GYiKJNXIugMc+6XNwiI7YBoAjq4k4uTnOWXkbs0xercq0slLep4F013XhXoHy2hn57ne/e7HqXCxvWblY4vTUQfysueMIegnQOQ8ckg6dLb1J8gMQQepg14W11OboHmvHPUEKltFyIutokon4JnjOe0nkCYDQ3m4Sg0Scfjbn96Gtrpy0TdNf9wsR1rnyWtv3qTtlMulsz4xyGgAGqbo16PLzg/Rqk9I9DxySzr78Jsn3oM6DOjaSAwKaNCIknxoJ3GMRWT4WniVsUilMOm3QMgn1wscPlllQAwDhpINkLLylvAbRcaij1zLCtbwBmV0bPMonT+6TJxMLbrLsPtfLU8dRXCsvLYsCHW2UgDRPMyh34ZA06GzpzSXEDYydpz46rvCs1kgafjQrzAVhyZEauRE9UiEv0iKwgcEHRygrKchmq61/ZUYk/+n58Ic//JZtuCDPk2KMowy5WFlkltrvVH/u535useoGnjxNgr3c8gSi5wXV4x73uGXgGdzSTcKa4Kcp74hD0qGT3i5Mkh+A6lL9dLhmq+m6j/itnhBEGi05PRbcRBXZEYWFRgo6Bseb3/zmZc1dXpYbkeqsHxca+0L8nkRZY66If5x70YtetLgn/HFPJ4OUdXdUBjsilccAXbdB5D5PgsMhadEZ67jGXF05EPnayOhco2vYsXNzKej5eRvraB8K0r797W9fxOTOyko/e8t9QSpENglEOvmcJ5S3Qegoz8hhQFWnyq6MVoToWvVBbuv6BqkytwIDpVUe5EbCtOQbqGkckSBrzApngUFnIyXStqqCKI4suTisIX0TScJNMbnk/3INWHdp/OzP/uyyp5yr4gNDD3vYw5b78oTTdJc4JAIqDyuuPOqlrCy5j416++oJpC8NOq7Ud3/3dx/94A/+4PL1AfFMjs05lIlLoy2kW/9LP+KfFaWxVW86W3lNkm8gYlQvpCgskiMEYvNdWWxvDX1LhX/ufkJfxzsXXzpIwr9FaBuxkP6XfumXlv3kLOdjHvOYM/9Z7VgH5/KvHK4NQpNOv1FFcnUwrxBHeUyIfY8RyVlxcaTlfnVTLmGJa3mcB9GLv1VvOlv5THflBGDFsoAalRW0POixbvnNIx7hTSK9qrcHxU5Cv9X0o2Tit5uIy+9lKfnAPlD0ute97ujVr371sqbO0rOa/GBuDLKcBiNBEmGVP0g/V4uOehm8nlAGgSdY7hMdullwaY1wP7lRMC35BjQNi0XqXFBP5zre8hrrZ8+HNXAEtzrBMtsHjqR0I4Q0Pe4NBstyxCDJPzeIEPwFL3jBMjhMToWdBsosvyysc2khtXP35WnZkiW3umKzmacQfWVXBwPzqU996vJzPG7WCOmUR+fSPQ8rDqUh3eNAZyuvacn3oA4D1o1AjWoChqCWDJHYWrcJGoL6gTJiIDzist4sPPeElUceG7WslyOfNKTLPUGm1sfPA8omLekbtOrhqG7uFcZCexmkvOYC7nNfvJ311AJ6rHtpgDQI/dK8UTBJvgGEGGW0iN3XyUSYjkVW1pdFh+4TcRGDLjKxlONLpEgiDWnT27Jg+zCWM/JVD+VwlCc959wU5fC208C0XVjZrLh4YllPVw9xTTzpj3mMcpZynzfmG88DUF3G+rGKiOHRzgKzdqw6F0bn93qe9bPDj7D41sL53SanuSvO3Ucg6VppQTIWHQnJWdpT3NJQB+XjpsiLqIMlTfMKZfDEsWzoqURPXZTd205PosokruOa0K6lI7+zlBsOib8vn0nyDVSfjmOd6tysmsc3YfUIUiA5f5evjuzj8iJiI5Z74rH8rHoWn7vQ7z6z7OeBCCiPSI7EVlhYa/VCcvlb3kRyg9jgjOQ9qcTdVS7py8e9s5b7kPj78pkk34NIAfmaYwdmzYCFRFiWMT+9zVmu25dCkLsJntUULoLVFE8DcfjDSMWlQSh5nLZNI93YP1DZDUoD0sAzoMwREN2TRFyDQHn9BtVmMoNxXPXZlTacpczhkPj1xXGYJN+DOpCMlquGRQokbD8KcS7MPSg+whDpIAkSsZjWov2SCLEQ3CCwRo1UXsZYasyf3oI8RtAv70QY8hHlAC+quFkGHVfJACPypmMgemJZaWHdlUsdawMY8y6P8f5pcUj8fflMku+BOmXJd3Uc8iE0crPIiMHSOY/0xASuN53IwiKa2Nlei+DIjjzcGYJsdPnFzhswx2Fs+zW656i8ifpUP0fXym91RRmVmWtCDEoE93RRjybKu/pZ2HH3TopD0qCzpTfXyTcQAbghgGg6D9wj1dO5+vNh889ZSBZQGvTEJQjGQhocrDQCAffmpS996fLGE8GQv12ISCWN8l1jV9gujP1SemO5Xfd0yoqbc7QtQTjSuzemBZVhHX4WlNZW/ehs5TmXEPdA4yGlI7KTdWfWyMQ9xPamkH9t1YQLgsB821ZgEAciVK/tHREfduV1GozlG1HaCMv94CKx1J5EyqAsBhfLzbK7Z/Ap767y7MrjRsC05HugedRF3dpsxZL1OHbM2nlFbwXFG0yTOL61CR0LiSyIg9QsN0K1VOfovgHxG7/xG0dvetObFtJ5kfSIRzziFkteeXZ12VY3Xua+qOz76rdVx0nyPdA8ZHRbcjdAGHJaDrQER/yOk/Vm0bPGrKJ44DhaSP64FQ0W1I8m3vrWty4E9/0Wb0/XG7R2ddmusHCZ+6Ky76vfVh0nyTegaUj1QmzXiMsiIz7r7YWOveL2r9ikxS2hayJp0smCF4/vm4/ryQD0/EACse2D8Qt/fzfulzjWpbkI+cCVaY1dYeEy90Vl31e/rTpOkm9A0xBkBkRzrp4sK7La09EXtLwwUW+rJta9uRy5KAjOsoubz86V4d6I51r61qytpjzzmc9c9r8YANLgFoVdXbbVjZe5Lyr7vvpt1XGSfAOahrQ6ws1wjbAmX3xt5PaDA7v4hHM7HvvYxy5WGbmzwO4RkB5Lbi8I90Z8PzNzzfLbivvsZz97+Uxcg2Rsz11dttWNl7kvKvu++m3Vca6unAJjg2aZEZi1RUrr21YirDnzu7kbwkw2CR/bmrM1cOeIDdwcaRlAfHYT3FZ2Jk6PSfI9YEGS0DnyITWSWjERbsLJOvuF0Pve977Fv+az9/UsR2F0uDp9cxCZDQZWmxtk0KzznTgdpruyAU3Dtcgnz13JJ2d1rapwNbgrNl5xYVhnFhv5e3GSyyEuEtMzaW0dnS9uUmoN3RPgec973vIbT4OnlZWwq8u2uvEy90Vl31e/rTpOkm9A0yC449hMzpHWPfs9vIZnmVlo54gKLRtqi87FMTiIcy6OgdDauzTE/6Ef+qHlR8wGjAnsnHienuRz78oJEOERTv0cWWkERlK+dORnlbkcLRWy3sIKh94yWiY0YXVutx9xbQ3d00C65XkaXOa+OKTsdLb0piXfg5on4qoXImdZXSMtErPq7SK0NMgV4W8junRYcgMCafnylgdZamSWpiXFX/iFX1i+1fLoRz962bdilQb5c3eks6vLtrrxMvdFZd9Xv606TpLvgeYhWXH1yjeHGphkuZGdWC3JinNPAMFZfasn1sNZahNObWcJ8ad/+qePXvWqVx096lGPOnrkIx95dPe7331Zqckvrzxr7AoL4l1WVPZ99duq4yT5BjQNQXBozbuwkfi5E92H2sA18mufJqEGCkiDnvueAD/xEz+x/JenN57W2/3yf23Jd+G4cKgclxFjGx4HOlt1nEuIJ8TYoBp+lIDwSOzYOf+b5W61pXsNHJbeiguyA0vPpXH/EFSuXXKzY5L8AEQWRM56j+Gdg3ssduvc9DsH1+47ds2l8fM4KzOIbkB4icSVGf3/idNhtt4eIC+SOSLnuPwnjKXlLzuy2MR5FjpL7jx9MhLXXnNLhz4Qypf3yxziLWm+ODRQJk6G6ZPvgeZRF8cssuuIT3qJ44UOS0ynZjUgxGsQGByjNRfPSox19vGTEE95ylOWPSzclgbMzYjqXXvuQv1wHCbJD4Rmqn7IiuTCkNiv8PuGihUSpEbWLD497eGcz91qi2tpclesxBgkfc2WILt8Rqt/s2GS/IKBlBDxXLPE9qPYS26/ilf7ba6iM7YDfQMgcc+Ayd0Rz+86fULODyn8iOJmR+03SX5B0FQ1KEFa+0/sXfHjYz+csAzIn7bL0L4T5C0uiOecILh1c+vkJpr2rPgVv73o/UL/HLvnUiIebbVD/XEcJsn3YFfzqBsrzRqbNPKlvcBhyU0cfcST22F9G4mloW0cERsMEGmw4gYDorPcVlQsHdKrDa9KW54G1X2LpnS22miSfA+Oax4k5Fez5Mj9yle+cvnOuEmoN5V+8MAic1u0yy6SQ9acq2LpMMsfaser0p4nRfU+C8nnEuIB0MBrgRo3QViktifFDyK4HoT70lepED8Rbu9Kn4DIzyflAVsdOLEfk+QHYCQyrAlPIiYd1ph1JrkkyI/IjoTlTugZIGMa46RV2MTpMUm+B5F7lIgNjpEzcc094bMDtyZ3BRxdj/Gc03eO8OU1cXZMku9BxNxFuggaWF9WnERUcIzIHRsExHX3xnzGtCdOj0nyDRxHspG8wTliE2SHiOvaMULvSpfOGJdOemM+EyfHpSB5HT7KFg7V24fIleWVnjBEjIyhMPfpITQ3xblw1+OvgqyB89UdWX5Hvvp6dQXOWg/xk+Mw6mzpXUZcGkte42cJtzqi+/v0DgXiRvjxHBA410TZSGHyHsMQ2JGM6VTGMd3x/hh+WoztUNqlWxnX84SrgktDcqgDHI9DHXRenYQIIzFDeeSDQ3423bbI0lFe11ZR6Eqn8I6JayjfMc/TQHql2XFEZVH25Krh0pC8TmchESX/dS3CESo34Di9k4i8RymMu9FSYftPhCMrWB5UDvcqx5hGdcltWeukdxYpj0TYmD4Z79MXdpVwKd54jkUsXXnZzWdXn45BFKCb/liGs1RzzNN5ZGS1/VDZm05fo/UxITqPf/zjb9lFiOjtOIz8IJ2ICJU7ax4ZzwppkDHtBKkbgOlB98ew64WxTMdhXzkvBclHciguctuaaourX9MIM2mTp/M1mUY5CUprJAfyIQVRX9tj7UL0TUQ7EOn4E1o/QPbWE5GUV3jlg3VZxvKN56dF5Q1dj2E2gXk7a2NYG8KgflSG8xpsp0V5j+VeY197XTpLzioiuN1+fmjgi7JI5G0ivSTUAMmh1U0XwdWreJHc0T17wX0nxUf3/YRNPF+17V/SXCufozihchL3un+c3kkgjTH90LX7CO0rAL750n92eurIe5J8A9eS5KXHPfF9kg996EPLx+pf/epXLy6DDsri7sJpyyO9MU3pREL5cVnsKTfwlM39dhPmQmmX4pHSHMs73q+sW/U5BLviCjNIPfm4U544Pvbvz3FZc08e+Ybqer1QW2y1A530duHSkZzl9HOxd7/73Ysf/Ku/+qvLdtd9JD8vjA0qL3mqN6mcuTMRpDKNBC7uiNIm7hev41lRupEcsR/0oActn6ND9n44PZar8l4vlP9WG9Rmx+HSkdxvKH20ng/88pe/fPnilLDrjawwRPgbGVaE7Hn3lS7fd/FrJCRnyZW98p9nP54G5b/VnnS2ynl9n0UHQgVZlyyMCo1W8UZADX1ImfbpHprOWcDNqj1ZduQuz9qa3OiD9RBcGpInQYdkOSHSO47uQh3neFJZo3TX9ztvMFbOUc9ReSrTGN45jOUf8zqNgGP5kpBO+Tm6rg7JVcClIDnUacehTqvj6rTQIDmJjFin2/3yQAjWcXTZRtArjeLAOp10Ih6MZTqJlOdxIg8WvMFUvHGOUTqXGZeC5JGrzhjRdR0yWiHX54nyKN2IMr6tHMMRKBFW+RzHuIRO8SPZWetQWdcSKoPjCGHVp3JfZlwKkmtoUqMH5zoDIgQ5L5KMKO3SlK8VnX5p3w+QhTnvs8zEy5bWoEFcuv3PPh3nfWxf2beeCidBZU4KC7Vn9atNG3hje19WXAqSB500ElgHtBZ9ERiJgsh+p3nnO9/56C53ucvy0Xxk9YLFyyBrz37QTO53v/stusoqvuU7L4uE+0Qzoe+FDHJdBCJ/bZmMA+Cq4FL904T07cn2Kt1auT+a8tbzeiwhIqR1Zp9W9iGg/nvej5N93s1nKaw9e5voGywsNAKz2AaBJTvEpkunz1eon89aXGvC6R+DUtnlr/yjy3SjWPBDykFnS+9SrJOD9BQVoRHc6/zWyb3xHFHe15Ik/g7cSxSfnkB4eXl9j5y5Hyy3shiUvs1inw1XwD2WHbF9c4WOt6Y+MefTFq94xSuWT8753MW1gnLc7W53W9bIv/d7v3cZbJ4wwqE2vN44pC/pbJX3UrkrsPbLz8Nv3Qd5ZuECq8sXR2iuR/+PzxfnT/tbFQII7fNvBsY973nPRR+ZDE5WW3347Z4MyEZX2heJiLJFlsuKS0XyrQ64Vp0j3UheHo7jOcJ61HM1bBz7zd/8zeXfIuyr4U4ZiEjM4ptc9kGiN77xjYsuq23vC3fGAED28yb5WOZQ2ChXEZfOkl80PCZHgaz6GM56I6/ttr4zjsA2kCEwV4QrYIWF62Iuwd2i5/8//WltVr+VmYucUF91TJIfgFYe1pauyaHtv+YKttoi+fvf//7FB2fF+dnckp4E9sB/9KMfXXQ+8IEPLAT3h7f+KU56nggI7ulwVS3rRWOS/ABkwZuUjRY8kiMya2zzGCIjvN2R3BA7J4Hb4r6BwK2h7z6/PB1E5/bA6CJNnB6T5CcAkiNeFhwBCfKy5MjKZUFYxLfa4ug+fS4N4hsA7T9HaOKetKRN3/m05ueDSfIDgdxry+o6647QiN4PJ0wi03XM4kdsZIbSJM6BbvlNnB2zFU8AxIyckTLrjpjdj6DOIyzrjOTFi/jpBIPD8qT763sTp8Mk+QFAOMjtAGFrKXwkcWHtRRknliBsJDOSt7Iy5jdxekySH4BIi4wB+VxHxMhNuhe6Jms95M8nB/fLS9oTZ8ck+QkwEhciIoJG9AjqmtUmwljurDcIi+zOg3jJGD5xekySH4C1Vc0PB+EJYkKDgW/N/aDrnEBpSUcY96TBUF4Nikn0s2OS/ABEXkQEREQ+5PQW06t6G63sERcWWdNDdHHpIa70WP8xHW9EE9cNoovGVRxUl5rkke8ioPOzrPJlba2W8KfX6+Hg2LKiF0WWDr3ST5cgOnFubZ1eOrlAF1lHuOj8LgKXhuTIlZXpke64C3UU/bXPe1pIMzeDVfYyx//hv+lNb1q2x/ofT99E9LYzC43gXuHTefGLX3z00pe+dPkokpdG0kJk6fj6lv8AtXX4ta997bJ5y2v+sxKuNqv+u9LrvnvKTZyfNe8bCZfiRxPSLT1Wj8XzWhyB7P8QVmeF8drxLJ1WOqWB5FwQ+XqD+YlPfGLZdGUPCpLbkOUewrD+rLjvJdrLgtC+AEYnQiE8Cy4uPWLvubCzYGyPNQx+P5Twgwk/4nCurLlJY/tdTxxShn1lvRSWPCIgBaiQziA6Brquk8QZ5bSoAUlpKYvX90htkLHgCNxGK6Smx1L3Aw87Dm3aosOSGwQEkQ1Y6dBh0Vl7Fv4s5YbKm6yJIKyBBtpurO9VwaUh+XjchzropPGOw7rjEYMrgtBITFhhVl04ctMhyMrSE3oGh0EQuRDdk4l1Z73tWrRxi69/nkQb61C68q+cha+NxFXApSB5ndJxRB2x7pSxI88DEcBRmoiMrEjN9TBxbMIYgQmyup+O63z7gOju0ZGedMSNcNcC1WMsa/WDwshlx6UgOYwdkPUZXZjCyHl2jnTkg7yO63Qrx657lWMtxRnLu0b3zgvlO5aBVI6xDOmMYZcZl8aSJzW8c5M/69RgMtiE0DozaX36LCKNMc3Tpl06pdVLoFF2hZ00n+OkvM1hXK9fQo3EHuUq4NL+Wv+9733vLct3/Fn3kzBaqPN69EtfWtJN9mFdrnXc0qyMWdnx/mlRXGmVpjAE91tSf/vyiEc8YvnlvpdZyuCpVd4NguuFsfzHgc5WGS8NyUFR+asmfJbsrFZYkXAN8oyAdSipEc5SJnFLayT5cUg/7CJxLo5wFraVImH59pX5NGUXp3jlV5rIe5vb3Gb5OoCvCPjaAOvuXuVyrkylcT1Q3vvaequMl47k8mDN/brGioU1ZRM2+SGLYySqQ0c5CepoMhJ7K53udVQGcSKxcGFIHJFHkpdP6+wgzlaea1TG2sO1tCJ59333xWc0kN05fRjzLY3rhfJW5uNAZ6uMl85dIfJh0ZHbkpxOiUCj3oizlKe40owkMKYprGtHEmHTX5NuTCcJ430Y7x2K0qwMowDLbc8NcT7eEy/SX09U78q1C9XzOFwKku9KS5iiy1NnXGSHjES4KjCoPFmg9qyNrydq461y0Nnqi0tDcsVMIFLLUxidHvc6LOxrgItClrmyRqJdSOcskIY8a4uRuCPoacNxDsBf78no/vVE5d0qB511vUZcKpKPnVYnyDOi6xwd6bxqjQ1QOodgl+5IkjGP0D0Y76Wb0COlt9Y9K0qzdiGRnMCYDz3tKkxcbTtJfgyuNcnrDLDmKzziu39cJ0LhJ4E0SI9xeZZO+VYeZXHPsbpXLhjDobQJve6Xxhq7wvah9Dsf0XX5wq6w64112XZhX3lP3vPXESqCBGTskMLGio4Vd9xqpH0oHWkkYcxnxDq/tc543fmudM4KaSZrjGHOa8NdutcL6/Y+Dc7VkmfVrhUqquO6Mwo7b0i3fHfl2T3YdT/sKtu++OeNMa/Or3WeF4F9dThXkm8ldY7ZXDhGQuzCvvtbEPeyk+x6YFebHdeOk+QTlw7HkvmY8Evlk09MnOapN0k+cWmwRfCte5PkE5cCpyU4nKtPfhymPz5xrXCI+3IhlvyQgkxMnBSH8mq6KxOXCoidHIpJ8olLg9N6BBfik09MXE9MSz5x5TFJPnHlMUk+ceUxST5x5TFJPnHlMUk+ceUxST5x5TFJPnHlMUk+ceUxST5x5TFJPnHlMUk+ceUxST5x5TFJPnHlMUk+ceUxST5x5TFJPnHlMUk+ceUxST5x5TFJPnHlMUk+ceUxST5x5TFJPnHlMUk+ceUxST5x5TFJPnHFcXT0/wM7Azs6HljYRwAAAABJRU5ErkJggg==)
When a body having mass m is suspended from the free end of two springs suspended from a rigid support, as shown in figure, its periodic time of oscillation is T. If only one of the two springs are used, then the periodic time would be…
![](data:image/png;base64,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)
physics-General
physics-
A current carrying loop is placed in a uniform magnetic field in four different orientations, I, II, III and IV, arrange them in the decreasing order of potential energy
III
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture4.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture27.png)
IIIIV
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture28.png)
A current carrying loop is placed in a uniform magnetic field in four different orientations, I, II, III and IV, arrange them in the decreasing order of potential energy
III
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture4.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture27.png)
IIIIV
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture28.png)
physics-General
chemistry-
Which of the following statements are correct?
A) Like halogens, hydrogen combine with non metals forming covalent compounds.
B) Hydrogen as well as halogens have tendency of accepting electrons.
C) The oxide of hydrogen is natural, as is the case with oxide of halogens
D) Hydrogen and halogen form hydride ions with equal ease.
Which of the following statements are correct?
A) Like halogens, hydrogen combine with non metals forming covalent compounds.
B) Hydrogen as well as halogens have tendency of accepting electrons.
C) The oxide of hydrogen is natural, as is the case with oxide of halogens
D) Hydrogen and halogen form hydride ions with equal ease.
chemistry-General
Maths-
Maths-General
physics
A force of 8 N acts on an object of mass 5 kg in X- direction and another force of 6 N acts on in in Y . direction. Hence, the magnitude of acceleration of object will be
A force of 8 N acts on an object of mass 5 kg in X- direction and another force of 6 N acts on in in Y . direction. Hence, the magnitude of acceleration of object will be
physicsGeneral
Maths-
If ![vertical line a with not stretchy bar on top vertical line equals 3 comma vertical line b with not stretchy bar on top vertical line equals 4 text and end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis equals pi over 2 text , then end text vertical line a with not stretchy bar on top plus b with not stretchy bar on top vertical line equals](data:image/png;base64,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)
If ![vertical line a with not stretchy bar on top vertical line equals 3 comma vertical line b with not stretchy bar on top vertical line equals 4 text and end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis equals pi over 2 text , then end text vertical line a with not stretchy bar on top plus b with not stretchy bar on top vertical line equals](data:image/png;base64,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)
Maths-General
physics
Which of the following statement is correct?
Which of the following statement is correct?
physicsGeneral
physics
A body of 2kg has an initial speed 5 m/S. A force act it for some time in the directive of motion. The force
-me time (t) graph is shown in figure. The final speed of the body is…….
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUAAAADICAYAAACZBDirAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AADYZSURBVHhe7Z1ndFTpmef30549+2H37JednZkzsx6PZxzabbfb9nhnPQ5jz9rddrvbnZtu6KabJoMIIiOiJBBKICGBAAUUkBBCOeeAckY555xTlVRJ/32flwI3tARCoKor6vmdc0/T994qvXWr7v8+6X3e/wRGgWgxO1KJyrDzuHjACnsOOcH2xh1ktk5ixmA8hVm9GAYw1ZyE2CsXcfFyFBLrJ9CvNx5jTAoLoCLRQ6fqR39tAYpSEpCYmovsu51oH5uDdt54CrN6mZ/B3GgzGkqKUFRcj+bhWUzzg80ssAAqlnnMz4vNYIDBYPy38QjzImD8Tvl7NSssgAzDWCwsgAzDWCwsgAzDWCwsgAzDWCwsgAzDWCwsgAzDWCwsgAzDWCwsgAzDWCwsgAzDWCwvtABSlb1arcbc3JxxD8MwzF94oQWQhK+8rAxlpaVSCBmGYb7KCy2Aw8PDuOB6Hg5nzqKxocG4l2EY5h4vrABqNRpUVJTjy8834J0/v43bt8IwPj5uPMowDPMCC+BAfz8C/P3x5z+9iZ//n3/FoQMHcffuXeNRhmGYF1gAS0tKsNtqF37xf3+Ol779XfzpD39ETHS0TIwwDMMQyxPAeT0Ms2OYHB1AX18fejo70NnWjObmJjQ0daCjdxwTcwYs1uR2Xq/BzOgoJoZ6MNDXi+7+KUxpjAclWujU4xgd7EVPdz/6B8TfGh/FtFqNKR3wpN6Rs7OzuHUrFH98/Q945eUf4Lv/9G3867/8DK7OLujt6YHBwN0nGYZZrgAa5qAbE4JXmICE0EAE37yNsJg4xMREI/JmBOJSilHap8bY14wtITy6cYwNdKOprgEt1fkoyYxFzO0kpJZ1oG2OeiETKswO1qMhOxaJcelILmhGU0sTurvb0dg9gxGVYdEmknq9HvX1dbA9fVqK3ve/+z384KXv46ev/hgbN3yJ+Ng4qGZmjGczDGPJLNMC1MGgHkJDtDu8rddhv6M/PLPrUVFVhdqEICSFhyOyagQN08bzjehnJzBUkYWyOzm409KPzoFONKV44fq+ddh60BMO6UPokSV7wgIcbEBPtBcigsPgVzqIuuFhDNUVozgpE4WNPegiLZXv+jBTU1O4GRyM9995Fy9/7yUpfq/+8BX575/99F9w+uQp9AurlWEY5hligPNou30GV9b9GzY6RMCrwyhI/SVoL8lCTtM4WqbkiUYmMdVdglRfP4QEp6Fk3ADSx6mKm7i9/d/wp1/8Hr+3DkFg9TRGyAyc7IUu4QqSIyPh26ZHszD5NJ15qAn3RGBMDmKaZjH5yAIZep0OLS0tsDtti/fefgdvvfEnGQP85c//DW8Id/g/fvNbWO3YiaKCQqhUKuOrGIaxVJ4pCdIReQ7en/8Sm86GwqNWaJZGmG8zoxgdmsSESo+5rwYBp4vQkXcZZxyCcP5GAwY192J5k63FSHPaAZu3foq3P/oCn17OR4wQU0wMAplByEmIQ2CnAS3i5Pm5SgyXXsL5C4Fw8GtAx6hWvvV9qNiZip5dXVzg4uQMTw8PfPj++9IapHpA2u/ocE66wb29vcZXMQxjqTyTBdgZ6wLfL36OT60dcCAwFckpYUi8U4ecRmGtPeKf6hoCUeSzHVvtI+GQMIM5o/E20tqIPH9PRHtsg53Nerz9yREcDChHWeco1NkRKElNQEinDs1S6zqh7g7B+YP2sLYOQ3bnpLQi70O1fz3d3SgVIlhfV48q4ZLv27sXu4TVV1BQgJbmZlSUl4tjdRgfGzO+imEYS+WZBLBLCKDP+n/FxzuOwcrDH8H+Z+EZkIaATA3GHsozGDCZ5ooYm3ewyTkBriXArPHIYF0t8oICUVAah7QcHzhvWYMN251gG1CAyogQFGanIqRLuLZSAMehHkiC985d2LP+DALqB4QkLs7IyAhsT53GsaNHpWvMMAzzVZ7NAox2hu+Xv8HGU35wzmpEXV0q8vOrkVk6h6mHQmx69EbZI3Dn69jsmgjPauB+e4LB2ircCQpGzt1qNE/UoS7eFqe2bMVH7x+Dl70jbmdkI7jLgHZpUaoxN5SF4B2bYL3mANzLuiE870UZHR2V8cDjNjZobW017mUYhrnHM8UAu2JcEbD1NVi5xcG3TVh1hgmoJiYxOKiD9qHwnBZdEafht+132OySiEs1fxHA4YYa5AffRFZZA3rFefNTZSjwPoADr/0Ga1/7BNsuRMO3XY8eWbo3h7nBHIRu34j9a6xxvrQbVfJdFmZwcFBmfW2OHEFTU5NxL8MwzD2WLYDzhlk03TwB949+hrXH/OFcrsfYQnUpEh1Gkh0RfuBNbHSMF8J1XwC16CnLQ6KHJyJT81AlXk/10POtkciw/wCf/PR3eH2LFy4169Ajz5/G7EAa/HdYYd+np+BbMwChu4vCAsgwzONYpgAaYJhpQ5HnJuz/1bfw63VncCBxFO2LVpbMQ1vhizz3DdhyJgpn07RQS4tuGPUJgfDavRfnroUjYUiHSdqtG8JwQRD8t36Jg8cu4WqLFpQYBvqh6ovExX3HsW+7N1Jax/BQpc0jsAAyDPM4limA8zCoutCQfA2B9odg7xGBkNIx9D2u5d5wLlpSz8PGLghOoe0Y1VEaeAzdJWlI8PVDWFIBike0uJ87MUwNoT8zBvlZ2cgd1mOIdqrrMFF5Gc5nr+CYewnqBmfFSBaHBZBhmMex/BjgvB66ORXU01OYVs1iVmuA/nFqND+Mkc47uHU5EAFBWagfU0Ot10OvncOcSrzPnAZaw/zDgqZRQTMnzhP79QYddJ0FaI+/CO+babheqMKw+nF/kAWQYZjH80xJkKfDAO3sAHqLU5CbmIK0ym60jz1cyLw44rzpbnRXZCEnNgEZFe1oFr6v0NzHwgLIMMzjMKEAEjpgpgP9rbUoqelFx+jcoh1jHmJei/npLnQ116G0qge94/erCB8PCyDDMI/DxAJI6GDQaaCe1UIjfObHO7H3EWcZtHKmh5rabC3tRSyADMM8FjMIoOlgAWQY5nGwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GwADIMY7GsHgE0UCv9e230uSU+wzDPg9UhgLo5aDqr0dlYg5rBOQxrjPufAAsgwzCPYxUI4Bx0QxUo8XXAVbdr8C0bR4PKeOgJsAAyDPM4FC+ABn0fBgq84bX+dXy21hpHUoZQNmM8+ARYABmGeRwKF0ANRrtrkO99Fuc/+iU2bLHGfiGAxZPGw0+ABZBhmMehXAE06IDJRjRVFCH8WhAC9qzBWdvjOJkzumQBVKlUOGt/BqdOnEBvb69x7+pGp9Nhbm7u3jY7q5ht1rjRuAwGg3G0DKNsFCqABhgmejFcFIW8O7kITS5C5KntcD9xCCczBlEwbjzNyPz8vFw0/YEwGLfu7m6cPHYcRw4dQm1N7deOa7Va+drVAInK4MAA7lZWoqy0VP5XaVtlRYX8b11tLbq6usQDSG0cPcMoE2UKoKEfo83pSPS9iqCbKYhOzUT48Q04vX0rrENrkdKrh7APH0DWnZ+vr7D0TuKcgwOczp2T26mTJ/HBe+/jvbffwdHDRx7sP3fWQZ7rf90fA/39xndRLnq9Hm1tbQgKDMShAwflZ3Fxchabk2K28y4ucHZ0FBa3PQ7tP4BjNjbIy8szfgKGUSbKFEBdPXrKgnHZ2QNO528g2McDF7f8EV+88wHWOSUjpE6FKeOpREV5Of7w2uv4H//tv+Mf/v5/41vf+Ae5/fM3v4VXXv6B3L79rX96sP8bf/f38tw33/gTqquqjO+iXMiVv3XrFt5+6y28+sNX8PGHH0khd79wAW4XzsPtvPm3i+7uUgDXffwJfvSDH+LXv/gFLpy/IB9O7BIzSkWZAqjpxHBtPCL9vXHJ01sIoS1OfvRLvP+7N/D2sXD4VIxj2HgqQW7XO39+G3/7v/4aL33nu3j5ey/J7QcvfR8/fuVH+Mkrr+KH33/5wf7vffs78lyyDmtraozvolzInTwuLKqXxLh/9pOfwlFYuTTunp4exWy9Ymusr8d+6334za9+ja2bNuHEseMIDrohk1EMo0SUKYD6acyOtKO9tgJlJcXIiQ2B3+bfYdN77+ETz3yEtagwbTyVoNjY7bAwYRG54YqXF65euSK3866uWCsskjUffgiHM2cf7L9y2UueGxEejuGhIeO7KJPxiXGkpaVh+9Zt+MPvfi9c4APIy83FvEKtqjBhqZJ7HhsdLdxiV+mup6elY3z8kcAtwygAhSZBHkY72okG/9Pwd3OBR+EoKr/q/z6GISFu98tgmpubjXtXF6WlpXA4exaHDx6S4l1UWIjh4WEZF1Qa92KVrWhuapYPlsz0DJwTY3d0OIec7ByZwWYYJbEqBFDcWtAMtGGguxM90wbMLNH4mZ6exhk7e5w8fhzdwkVbbVDsLCggEJ+tXQePixfR3t6OublZxWauaVwkcvdjfhPjE0hNTsEB4Ra7CmuwpaUFeo4HMgpilQjg8ljNhdAkJJT5tTtli8/WfYqkxETjkdXF8NCwzF4fPnBQhh46OzuNRxjG/LAAKpSRkRGE3AiG9R5ruDq7oKmxERqNRsbSVDMqRWZWyQIkq3tiYkKO9T6DA4PwunQZu3daIeL2bUxyPJBRCCyACqW2rhZ7d++BlRCNgvwCqNVqlJaUyMROQnyCFBqlQeU6YbfCcMnTA3fv3n1IBO9W3oWbGPvRw4dlgkSj1RqPMIz5YAFUIJOTU4gRIvHZunWwt7OT/0/cCArCb37977C3tcfI8FcLgZQBWack2m++8YYcP4n2fWjWDQn4saM2MiZbUlwsBZNhzAkLoAIpLiqGg/0Z7Le2RmxMjHEvZKnPu2+/A7fzFzA2OmrcqxzI9aXaP0rapCQlPySABB2Pj42Ts3CoVIasxNUyFZF5MWEBVBhkKXlfvYbPP1svy156erqNR4RbXFuLmzdvorAg/2viogRofnVmRgYibofLUhj6LI8yNDgkM9t7d+3BdT8/WeTNMOaCBVBBUOa3pblFjpcEMDsry3jkHiQoMzMzsvuKEi0nGhN1hKExPq7RRH1dPS55eMoi6ZshIRgbGzMeYRjTwgKoIGhGy83gEFjv2SPn1VIZzIuIVqOVU/lOnzyJQwcP4k5ODlRCNBnG1LAAKojysjJZKkKFw7m5dxTp5j4vdMJCzEhLw/Fjx3DyxAmZ6WYYU8MCqBDulZDcwicfrZEJgoXcwv7+fpQJkaQZIQvF18wNufDN4jpTcwoqgH7SdD1yl2NjYmG1c6ecKULTFblzDGNKWAAVgEEIRUlJicz87t21W2ZKF4qeJSUlYef2HQi4fh2TExPGvcqBahPd3dxxcN9+5ObckQL3JLq7exAYEIj94jUUF3xROnczqwMWQAVA8a/Lnp7Y/OVG+Hr7yE7WC+Ejjv301R/L1lhK7GJDVuuWTZvx21/9O8Jv315SnZ/BMI+O9g6cd3bFHiH+ERERGBgYMB5lmJWFBdDMkJvY2NCAfXutsfGLL1FYsHgsLD4uXoqkj7e3IttLTU1NyWl7JGTZ2dkyW70U6BoU5hfA8Zyj/K4S4uMfmkXCMCsFC6CZobhe6M2bsNqxE04OjrKx6GIMDAzK+Bo1FFBqDJA6vtRUV8u5zE8TzyP3mfoeUvE3tdWn9UWorpBhVhIWQDOTn58vLKY9siYuLzfvhc78Pomh4WHcCg3F/n374OrkLBtAMMxKwgJoRkjsKAGw5sOP4OnhIaeKWTrU7PXypUvYuW27nPtMFjLDrBQsgGaCXFjq9mx72hZW23cgOSnZeGRxKFkyJD4TZYCV2BGaXF6KTZKIkbgvd7ZKTW0tLpw/jz27d+PWzZsWbRUzKwsLoJmgjCmtpEZrffj7XV9So9Cqu3dlCYxSZ05Q2Qs1QaDZLI0NjbLYeTmQbJaVl8nWWbTEZlZmJmYU2P6LWf2wAJoDYRnV1NTImr5tW7aioqx8SRZdVGSkXOSJSmbGFTh/dnJyEvZ29jJTnZ6atqQ6wMWg90pNSZHf3fGjNrJ9FneOYZ43LIBmgOJaZCVt3bQFTo5OS+7tFx8Xh03GMpgJhZbB0CyWPVZWspHDswggQe508I0bsNqxAxfd3FFXV2c8wjDPBxZAM0Au3f691jh5/ARyc3OXXO5BWdGYqGiUlZYuucbOlNDnyBefJzE+/t50Pd2zrwJHU+u8r16VM2SoPRgVSbMlyDwvWABNDM2OuCZu6DUffCRnfUw9RWyLioPJypp9hgTDSkJjos9HNX2Pa4f1NND7kOVnK77HfXv3yiLp0ZER41GGeTZYAE0ICRg1M6AOKNu3bv1avz9mYUgEc7KzZCzw4P79yMrIUGQWnFl9sACaEHLfKPO728pqWd2Q6abXCDeTZlwo1Q0ksSKhf94CRe8bGx0j6wPPnTmLqqoqFkHmmWEBNCEVwvrbumkz9ljtQrW4gemmfhp6e3pRXFiElpZWRc6VJWFuqK+XVi5d++ctUP19/QgJDpbZcydHR26nzzwzLIAmgsZyIzAIGz7/AhdcXDE1OWk8snQoeWJz5KjsG7ic16801Aqf4pr2tnYoLipakbm83T3dsnfgjq1bERgQ8Ni50wzzJFgATURaahoOHTiIUydPykJmspaelsiIiHvT5i56KLYO0O60Lb78YgPSUlJXZAYHWZXl5eXSAtxlZSXbbj1ruQ1jubAAmoD7jUI/WfMxbgTdWPac3/y8fDg6nENcbKxiF0anRY7cL7ihorxixdx0EtaMjAzZNOGYjQ3uZOfwdDlmWbAArjAkArQgOFl/27dsRVFhkfHI00Nt5mtratHT3fPU8UNTQNZZR3s76hsaMDo6uqLt7Wm+cVRUlFyIndYZpmmCy7GqGcuGBXCFoe7OnhcvwlrcqNd9/dDzjDGr1VAEbIox0t+gnoNXLnuJB8s2XPW6ItcUYZingQVwhSG3deOGDTgsLMD62jpFZm9XM9RN+4LreZld9xMPGG4pxjwNLIArCP39677X8dm6T3HJw+OZg/WUZR3o75c3uRJXT6MxjQnXlz43xQNNZa1SM4kjBw/JVvzx8fEyGcMwS4EFcIUgMUhNSZWdnk8ev5f5fVbutcPyl++lFgKjNO61w0qSiZDGxsbnMhd4KdCDgUqEaJbI3j17kJebazzCMI+HBXCFICvN2dER64X1F3YrTCYFnpXoqCis+3it7Jis1DKYM3b22LJxI9LT0qA2YXkKZcVvBgfL/opn7c+goqLCeIRhFsf0AqifgXp8UIjTCEZVejwxl2nQQq8ex+TYMIZGJjA6NYs53dLcP3MJoEarRXFxMfbu3i2nblVWVhqPPBtU/kI1dtQdRantsJwdnbBrx05hkT17O6ynhTLQFAfctmULzru6oq+3z3iEYRbGtAKoV2OupwSVycG4eeM2buc0oXZ0Ho9zlPTj3egrT0ZOQjhuxeUgubQbveNLSySYSwA7OzpwyfOSbOnufe2aGMfzWedWtsOKvtcOS4l1b/faYeUjMT5RipGpy1Lo71HnGDtbW1jt3InQkJty+hzDLIbpBNAwjJneEhRG++O6kw3sjuzB9t3nYO97BwX9anw9bE1W3gSGG3OQ6XseVxxO44xnCHxSW9E8tLQby1wCmJmRgU1ffin7/dWLG1KjeT5TwkhgaD0QSjAoMQlCSQ/VjApTk1My222Okh36u7S2MsVe13zwIY4dsRFWoa9srEqxSZpLrNQt+EYwggID5XRCavtFZT7MymI6AZxrxXBdHMIDb8JPWEVBHkex64038OHHNnDMG0Tdo/Pm9VPQj+UgL/IynI45wsnZC/6xOUitHkH/lPGcJ2AOAaS/Sf3+1n3yCXzED1mJBcsvOvRwiAyPwIfvvY8//v51GYel2OCunVaykYJSN1obeuMXG/DbX/8aX37+hVw2gVlZTCeA6iFhAdajrqkNTe0daK/OQuyBNTjwxSbsj+/EnUdNwOkuTOY4wefkNny29xLO3SpBWc8UxlQ6aJfYZGRoaOiBAJqiSJYWAaJ1LI4cPiynaNE6v4x56OroRFREBAL9A+R84fi4eCQlJiIhIUGRW2JCIlKSU+Qi+Z+Kh+cna9bIOc/MymI6AdRoYZjT4oF2aYZQdekIvI4ehGtuD0ofteqmejCa5o7gM9uwafdxbD/hi+tJVagf12OpBSAUhHc4cxanTpwwyfqyNFXt7Jkz0v2lBYyGhoeMR54PgwMDuFtZKVeQU6JlSTG41pYW1FTXSPfNYMZ+fd1dXbJciOKltJQoleSQZUjT9ZS43Q9pULfrc2cdZCKnkjPZK47pBPChcJBOGIR3keTpgWtugUjvnsDgo+EirQozneWoz/JHoIs1tr/9Jj7aaIszqT2onXo4/kU3HmUgqQiXFtK5vzU3NQvr7ygO7Nsne9Q9ODY2Ls+l19CP73lwP/a0Y/t2WZBLffGedwzsXjusI/faYYmxKw2qx6MFm6gjDLXDouat5qKosBAXXF1laQwlZMwRj1wO1ObsvIurcNd3iofdXeNeZqUwnQB+lfFWDBaHiR9nHILT29E3q1sgEzwPvUaN2Ylu9NSkIPfaThzevRtrz2Yjqerh6U5dwiKibiu7rXbhyKHDMgBOG60h8fabb+GtN/4kf1D39x8+eEie6+nh8dz6ybW1tcn3s9ppBe9r3lJonzd0M//htddlK6jnUVf4vKHaR2r68MG77yFBuJzmzFRTA4rLnpcQIdzfrs6uVSeA1DWcBXDlMb0Azs9A3VGC2jspyKnpR4M0ZJ704xRWmuo2EoPOYeO+WERnDBr334PcnP/3m9/iv/7n/4K//au/xt/9zd/K7Rt/9/d4+Xsv4QcvfR/f/PtvPNj/N//zr+S5r//+NTm74lkh9yUxMRGbN26URbi1tbUr4qKSBXhU4Q1RKfEjLcDClWmIulT6entRIkSQ5l9PjE+sGgGk+k5XZxe2AE2ECV1gPQzqYUzWpyE3KRI3k8pQ3DyE4SkVRsenoJ5Rw6DXQavTQ2+Yx7xB/FerEUIirEODuNnVychNuYFz7oXILXnYuqL28h9/tAb//I/fwk9f/TF+9pOfPnb7yY9eled+unadLFN5VmitDw93d6w19vtbqfo3mv3R2iKs58FBk9fYLQUKJ/T19cklMWlWiDlLdWgsFJagB5E5x/G0sACaFtMJoLoVffm+8D64Fmvffg/vfrEHe/YfgJ27Hzzim1BfX4+B+kJkFregtn8cU0N1qIj2R6iPD4Jik5GQFo6ElFTEFvSjbejhQmgKHFMGjWqoboXekhYSbX4+vtiw/nN8tm4dLnl6Pth/KzRUnpuWmoqxZ5xSRnGu5KRkHBKf5eihI3IGCMMsFxZA02I6AZypQ0eGO5x3b8An767B5+s/xReffYQvD7nCLrwR1dXl6CxJwK3kuyhoG8FEbynyfOxx4dRJnL0WjsCwNNwpaUDzlB4zxrd8EhSTovUpThw7ho7ODuPe5wvFEMnl27F1m1y1jBp1MuaHLUBmKZhOAPUzmB3rRmdzI+pq69DYUCfczxrUt3ShfUiFmakhTA91orlzFP0TWuhmxzDeXoGainKU1vegvWcckzNzINtvqdEccsPuCyCVjjxvKMZFpRabN26SnUjaW9tW9GajGSBU20jxPyXe1DQmSv7QQ4ASIOYcI5XhUK/Azo5O2SiBY4DMQpg+CbIoBvEjNYibhm4k4y4jumX+dld6Jkhzcws83C/KWQY03UqtWtmsJyV7qBNMunDdVTNLtYNNB4ledFS0LIWhWkCywMwFJbdo1bjE+AT0dHcr8oGxECyApkVBAvj8WUkBpBuKbvZtm7fA6ZyjTMQ8r5rCxaD5oq//7vfi752TcU+lQdbfwf0H8P477yI+Ns6sZTAF+flwcXLCjcBAtLW2rvh387xgATQtLIDLgNwpmlni4uQsM7+mWpqRBPAPv39N0QJIrf8/eM/8dYBUiE5T4TIzM+V3xRYgsxAsgMuAYnE0r3TfXmtZeE3T00wBuXX+fteRk50jx6A06CFAGXEq2Kb4mzmn61H8t6urC/0DA1KIOQbILAQL4DJoa2uT70uzSWJjYkzWtoisGHLllGzN3B/jahEcpcECaFpYAJ+S2bk5ZKRn4Iv1n+PYURs5DW+1xJcY5cMCaFpYAJ8SWuzH7YIbtm7egqCAANkCy1SQS0mu75zGPM1GnwSNaU64wbRgE10Xc46R3F6yzKkWlK4bu8DMQrAAPgXk3t0OC8PO7dvFj9RZZn5NCcW0cnNzpQibs8RkMUhoaqqrZVec/r4+s1rGFKaghZlKiovvtebiJAizACyAS4QsCMom2tvZ4bO165AYH2/yRESauKH379svs8FKbIZABcdXLnvhhM0xFOTlm7UZQqGxHRZdq3YhhlwGwywEC+ASof57iQkJ2LNrF46K92toaDAeMR20psUfX3tdLrep1HZY1GqMWtErox2WJ8KFxU6LVLEAMgvBArhEyO08dfIkrPfskSuzmWNdXioxoSUnA/z9MS7ERmnQQ4JmxlBPQFqc3KztsIQLTiJI3X5IVDgGyCwEC+ASoMB+krD+Plv3qVxysbev1ywWhYwB3rkja+woEaI0KAZYXUUxwEIZLjCn1UVjof6Es8IK1SuwddhisACaFhbAJUCzCiieRE0PQm+GGvcyzPOHBdC0sAA+AWo8SgtsW+3YARfK/FbzUoXMysECaFpYAB/DvMEg+/1RVvOL9etlA1Vyq8zFxOSkbOtFZR1KDOrTmAYHB9Dd3W32FlSUJGoW3zmFDeg74xggsxAsgI+BfoyU+bXavhPHj9rI2jJzUlFRIVtNZWVlKbIdFs0FToiPR2BgIOrr6mUczlzQ/Gz/69cRL8bTIx5iXAfILAQL4GOgnnanTpzEvj3WiImKllaNOYmOisK6T9bC69Ils2ShnwQ1IKBFobZs2oz0tHSTdMhZDGpUa29rCz8fH7Q0N3MZDLMgLICLMDc7h6iISLlwkrOjs7AizJP5/SrJSUnYuX0HAoRlQzV3SoPKYNzd3HBw337k5twxqwDW1tQg9OZNpKWkyJIYtgCZhWABXACKF5EL5+zohE1fbkRUZKQiYkhtrW1ITUmVU/CoKYPSoOl5paWlyMzIkHFAc65cR3E/Wq2PYoFKnDa4GCyApoUFcAHIcqHlLa127ISL+DFSGYwSoMJicjNphoUSLRp6SJDwTE1NStFZLYkHJcECaFpYAB+BhIXWtaUpXRTLooSDOTO/jGXBAmhaWAAfgVymuNg4bNuyVb6WMojM6uO+tUwPLyUuIr8YLICmhQXwESrKynHy+Anst7ZGbGyMWQP5j9LV2SWTC9SIQantsKqN7bAo8WDOpFFTY6Ocs30nOxuDAwOcBGEWhAXwK2iE1XAzOES2u/JwdxfWn7KWU6RCbFqHJPjGDWndKI2Z6Wl4Xb6M4zY2yDdzO6yMjAwcPXxYLiNKc6e5DIZZCBZAI+QmUbLDwf4MNm34Uq4nq7Sbhpqxvvv2O3C/cAFjCqwDpNKcE8ePywdISlKyWdthZQvLj75772vX5HfPAsgsBAugEbKoAv0DsFv88FxdXNDc1Gw8ohzItaSlOGm2BVlbSoMaxFKzCGqJVVlRaVY3naYM3sm5I8ZRIeO67AIzC8ECKKCbg/r97bfeB6vtO2TLKSVmfkmkaREmxc4FFteRau+oBpCKoleL6CgJFkDTwgIoIAshJiYGG4Xre8bODkNDQ8YjDGNaWABNCwuggBbOOXXiBPbvs0Z8XNyqiRcxi0PfoWZOIzPTq8kSZQE0LRYvgJT8oK4hn3/6Ga54eUn3TalQTI1cS+pyrMRZFjQmigNS0wgSHnOOcVhY8XW1dWhvazd7a66ngQXQtFi0ANJN2tTYJM45KdzfDchIT4dOwdYftXi67uuLHGqHZeIV6ZYC1UwmJiYiOChIZtS1WvMlQe63DqNawO6uLhmfXA2wAJoWixZASiYEXPfHbisr2fKepsApmbDQULz91lu44OKCsVFlrgp37KgN1n78MZKEEJq1DEY8JE4eP45rV67Iomgug2EWwqIFkLqq7N21W670lp+XZ9YbdilEhIfjw/c/kEXaSu0HSNf7i8/WIzU5xazXU1qA1+5ZgNQV2sACyCyAxQrg2OgYIsMjZOzP6ZyjIgXlUegzULa6vKxMUVP07kMzP+hBQl20O9o7zDoH915L/Gbp/s6oVBwDZBbEYgWwID9fHDuJA/v2Izkxybh39bBabmjm6WABNC0WI4C0QM59yFK5euUKNnz+OXy9fdDTzR1fGGXAAmhaLEcAm+9NbaPML836OHL4sOz2nJ+bx3V/LyCyI3R//72O0GZsyvC0sACaFosRwNbW1gf7AvwDsGfXbrhdcBPWn3Lr/h6FGiC0tLTI9k5K7HFHD5Le3l65eh4lRMxZgEzXiWKRFOoYFt85zwVmFsJCBPDogyUtKYGw22oXDh44gHxxc8zOKS+ZsBjpaWkyZhlyI1iRiyJRwTEVk584dlw2bjCn5UV//7yLi7hWN9Auvnsug2EWwiIE8LjNcWkRkFVyKzRULi1Jq5cpUUQeR2BAAP79l7+Cva0dhoeHjXuVA2XSqazozT+8IZcRVZuxWLuivBzeV6/KpURlGQxbgKuEeWhU05gYGsfMrA6PPrbm9RqoRscwOT4FMl2eNRVoEQJod9oW9fX1KCoqgp2tLQ7s3y+bi642pAVovU9agCTmSkNagJeFBWhzTLieBWZtiEpdaWjmDGX/6VpxGczyoOtG9ZzPq6bTYJjH/GIPI8Mc9NPd6GppQm1jHwan5vC1pfX1Kkx0NaFN3M+NA1MY1TybZf/CC6DtqdM4a2+PcmEReImbc/PGTfD3v46+3l7jWasHsvrq6urQ29Or2BhgZ0eH7MBM1qA5rS66PnTTkghzM4TlQ9evvKwc2VnZ6O/rN+5dDlrxnYyjq6NP/H7HoV/ggTQ73Im2zGjxt3KR163CsNawgIWngXa6AY1lWYiJLUZJ/QCe5TH7QgsgtbUid5GSINHR0Th88LD4YVnJGSAMo0RUMzOy6e2ObdtQU11j3Gs+6OFB3dHJi7rk4YkE8e+a6mqZXV86WmgGy1CbFQgvr2D4RlSgaVANzYPnkviHvg/dlUkIcfNFSHQJGoTBKW1O7RRmBlrQ0dyIps4hDKn00GEIg3dTEH/RCzdjC1EinKGZZT7jXmgBHBEWE31xX6z/HOfOnsWhAwdxwfW8eAL1CGtFB51WPJVW0UYWFrkk9KMkC2ehc8y6iTHR2GiMNFazjJH+ptiocw7NliELhkqfaFPkNfvqJsZHv9nzLq7Yu3s3KsorHnyeBc9f6U38XbKib98Kw8cffoRf/+KXePvNt2SSKyoyUpaTUXiBrjOdu3iYQYXpcl/E2n2ED9buw/qz6chomMD0A+9Vg/nBWBRFOWOfXQz8EvugmRe/I/0MxrpqUJmVgLToYMSk5SG7SYMhvQGGtly0+B7ChSvBcCmeRecy+xe/8AJ46vhJ/PG117FjKy1zeRKB/v4yE1xbWystQd5erK2mpkZu1A4/NiYGKcnJKC4qQpXx2EKvUcpGlhWN9ZKnJ87Y2SM1JQV14ndK+xc6f6U3Wn2Q5lQ7nnWQ4ve9b38Hr3z/Zfy/3/wWa9d8LDuoX3R3l0s0tLa0yDZtCyMswBo/ZLl8jPc22ONL90rU9M3+xQLUTUOd74ho1+343DkPviVaYRQKC3MoBXnpifC7mYeC1BvIz45HaPYM6kfEa8ZKMRm3DydPOWHjtWZU938tWrgkXmgBnJyYkDM9Nnz+BbZu2SIF0Ev8uPx8feHv5yf/y9uLtdH3SpvDmbOy3OnIocNwu3BB/A68Ff+dU6szWsSJyneczjniyuXLCBAPbNq/0PkrvYUEB+Pa1avYsH49fvzKj/DqD1/BT370Kl7+7kv4529+C//0zX/Er37xC+yztpYiSIXni8Zbu6JQF7IXm2wCcPRmL8a+GribG0NfiDV89q3Bl1crEdQi9umHgL4ARF51xJ593vC5fh1p+blIrtSic5xeUwVV/kkc2WuD9w+lIb9lSr7V0/JCCyC5PfTUDxZfpIv4Ubk4O8Pz4kXZTWX1bRfF2D3g6SE28Rk8FzxHKRuN9d628PEV2sTfuySuzyWPi7A7fRrWe/YKATwERwcHXHRz+8t45NiM15G2R9/HpNtfrtX9cVx0dxPjNR4X+++NV2zic9079/5rV3a76uUFt/Pn8enatVL4Xnn5B1IIafuJ2P7lxz/BH37/mqxNJZe4o6MDWt0illhnpBBAa2w+FoRjoX2Y+EqryPnZYTR574D7tnex2ecubnXSTqGQqjvI8TkC6/fX4NPNJ2AfWoCcTh0m6bW6eqhLHXDE6gDe2R6BjPrlNTN5oQWQIhIUn+jt60O1EEJyfWkrKy1FaUnJ6tnEeMvKK1B5V7gm1WK7K/5dJvaVLnCu2bdSmXGvrKxEZUU5ysUYyxY873lu4vssLZPu2t27lagoL0Nhfr7sCXjnTg6KCgvlefS9l4nzyisqxXnk5t1FdWU5KsS1/Pp7rvR2b8zl9L2KcdO1onHQGKmGsUL8v/ydinPkd18pxirGW0Xfvfh85Qu+5/PdaBzFhUVwcnTC7377H3jpO9+VIvjmH/+IXVZWUhwpPpiTnS3LjcbHx6E3LFKW0hGB2uC92Hw8BCfCBzHz1dNmh9B4bRvctr6DTd5CADvEPrp5dYMYrMtE+g0XXDy+E9bHz8P2Vj0quunFjZirdMJhq4NCAMORWb+8/pgvtAC+WGigU41jfGwSU+IJuFi4WTEI65tqvkzLPOY12idfG8MsNKpJTE5NY1KlhXaZGcTngx7aWTXUszroFh24GKN6Rhb/Tk3PYu7ZSt+eCkpsxMfFY/vWbfhkzRpY7dghrezMjAz0C5d3yfREoTZwGz7b6oCNriWo7pvF7P3PoRnDwO398D34MT73KENAvdinnwVGG9Db1YzSqjwUBu3C6d2b8Ocj6YgoFy801EJXdBpHDpzEBzbZKGhdXhaEBXBVoMf8aDPai1OQnpSO9PJOtE3I4gEFosfseD86qhrQ0TMC0y0uqsZYVzta7jajf2L26wW09zGooOquQkNxBrJzi3Gnqgfd4+aqqVRjdqwbHU0taOkcweiCOQQ1DGPNaKksQHZaPvKKmtA6IsTDeHSloWw+id21K1dll+/Gxga53spTL8kwnomm23uwcc1GvLXtOm4U9qP//ocQ34m26ALiL1hhg1MOvIvFPu0I0BqO9MgbcPGOQqS/Ha5ePAdrz3JkNorjE6WYTjyA03bnscWnHVUDy7sbWACVjmEcs8O1qM6KR2zAZfh5OsPhnDeuhBahrF8FZc0HESbMZA3q00LgfT4Yt9Jr0SV2rbjBYpiGvi8HmTeu47JHDDIaBrBwREhYWqONqE2NRKyvF/xvhCMkowHVvbMmtqg1mFd1oaUkCznJGbhT0YyGvjGMq/TQPzIQ7Vg7eoqikHLbD9d8byE4Snzv7eOgkL8pxkxxdJpL3VDf8GxrZWs7MVIbhzBvX1z2T0N20xjGHsQBxQNoOBNlcR44Ynsbfsl9UNGjcygfFekxuHE7HSlpqUL8S5BTPYpe8eHV7fmouXoQbleC4FmhRvcyJ6qwACodbR+mOvKRnZyKuOgYpERehbv1HmH6X4BPyQCaTegOPR7xBBZirWqORqz7Cezd7IQLt0pBTchWdog6ISat6M33xqXDR7Db2gdh5d342kzpeWFFqxvQWR6FW94B8L0Wipj0AuTWDQgLcKEZByuHfqYNA2IcEX6B8A8vRMWgVtzwjyKumn4CPRXi5ve7hKDAIAQn5CGjpA0dwyohoasPg14H9fQ0VDPC4hOu9V+uOf1rGD0N2Qi/cgPhMYVomtIIF1kL/fQIxkb60Ts4jtEp8V2L35lhbhJdZZlI8LqK8ORClAvxW640swAqnbkJzI50oaunHz0DQxjsqkbh5RO4fOo03LK6Ubq87P/zZ34K+skq1JfdhreTM2y2usAnvBjUhnZFHUz9AKYHcpGb4g/H/fY4ecAHsZVdGDQefoBhFrrmOBQGO+CMow/cbhWjRFhSo2odNCb1gNUYLItHhqc9LgXEI7x+AiMLem9CEqfKUBTlhfPHz8PjehoyGwbRPzUnxmtawTYN89BM92CgLBW56cKarx5E7wNV00N8ZONnnsVcbwWq89KQkFaNyvYpcUXl43dZsAAqHZ2wXLT6v3zB85Noi7iCSA93BJf3o9Z0QbbHMjfZi8HaDJRXJSIkNARuh70QFl0C6sK4vBLVpaDHTF89OquSkFOagGtuPvA8GYD06m4MGc94gEEIR2MaysJc4XHhAmxdgxAYU4zKvmmYrieQUFpNEyrC3OG6dQ/OXA5GUF4psu6IcTQNYECYdX+xloUAjpegIlm49Wdd4XrWE36R2chsmcTgMt095SMugKoLve2tqG4ewfDMAk8mvRrqgQZ0tTaiUVyw8Wc0hVkAVxXCWhlvRmH4bUSFJKKkfxJj5jYFaMqSdhR9dXdRmJyOysYsZOaEw9PmMgJv5aNBP/9Mk9UXxaCBbqYHDfkFKMxME5ZABiJuXIf7cT8klLaj72vXRQ/tuLAw6rJRlOAHrxP7YXPgDFxjqlE8JB4yxrNWFGElYzgRKT5nsHeTLRzdryEw4CLcbO3g4i8smhYNJh+kgoUUqgcx2lmBkuQQhDodwInDtjhyLR8ZzTPSqjb3V78y3OsWo6fpbgt+QDouDAJxznKtvq/CAriaEC7CeG0q0lJykVzSj6FZ/VcsBjOhnYG2PReVKdEIjcpCdkUG0uK84WztCDfvVBQMz8qA/XNnqhcTNUlIi47H7aQ7KLybgDCvC7DbdxEBqTVoVIubyHjqfSgGpVOPY3qwBS3Zvgi/fAY27skIyx+CuN9WHt0I0ByECC8HbD8Wjpup1WitjMUdn6M4duYqzka0oXv8K/ayQQeDuL7TIx3oro1HlPh89sd8cDO7CdTH3KSe+wsKC+BqYV6Fuf56tFUWobJtBJ3SDRKPSGGBmZW5CajuxqEg0g++t2JxOz4UQR62OPzlQRx1DEN0vXBlVuJOHW3FYO4NxIVSd5F4RMb4wuP4IWFZnYLjjVwUDGqfkCi4i57yILi6xyMkposiDSuPblgIYCBuX3OFlVMeMqicA23QlV7AuTPu2OdRgdbBxQaiQU9BEm7buyE8vQRUKrdyoQXLgQVQ6cwLc392DFMtBSjPSUVCTrUQwEGMTE5jdHwaKrWZbwOdGqr2UtRmxyI+NgoxsX645nIMez/dg/12wbhdPYRBzfN31uZnhHtYmync7mhEx4YjKuISnA7uxfb1x2B3PRu5PTNQ66kLjA5aYd7Ni+uo185hjjrEyE4nNehuSERoWDEy7gwLl8v4xivJ/IRwgZOQFHIZNmfiEF88At1cE6bKruHy5SA4BNajc0AlO6toNMJa1cxBOzeHWY34HHo1OsXDLzUoDDkVdWwBPidYAJXObC9GqqIR5WYDm93W2HfsHM45O8PrurC0MjtQv6jFYCKEsOhmxjAx0IWejma0t2Uh9dZFnNp0Ag6e8cgdVmFqJYaoE2I2IR4EPR3oaq9Ba0MsAp1scWSrM64lVqNpYggTPVUor2jC3Q7h9k4PoLs0DRlhNxGbmo30/CwUFuQIl70bTf1zQiCN77uiiIeVph316aFirB4IiMpGZtEdFEX5ICQyC5FF3RjsqEVzQxMKShvRVpiIktQohMZlISUnH7l5hcjIrUVT37jMfL6YMUDTwgKodNSdGKwIR+hFB9geOYGzdnZwsD0Oh4v+8EnvRt3X0p3mZhj9jflI9I9Dem4j+sSelbdUSGE7UJOVgpjADJS2jUJlGMJkewFycquQ3ziKickedORGIOaaJ/zD4hGVUoSSciEyYysUo1wUPabbKlCXGIL45FREpeYiKzENhTVdaBmbwExvGaoq7iI1uwoNmWHIDvfD5YBohCemo+BuPap7VBhfPet4KR4WQKVjEG7QzChGBvrQ292Dvt4e9PZ0obdfuJaTGqgV5wcZYNCqMT0+hRmVxoRJGuE2qmYwNT6DWdlKXQ2dsPr6B8cwOEGusHB9x7rQ19aIpvZ+dA9Oy/FpKYxqfAdTMS/GopkcwFBPJzo6e9E7OIGJOZoLrIVhdhijI6PoE/umR3sx1N2KxuZOMd4RTKpnMSu+bzNHfV8oWACZFxSSNYr9iX89onAm79GwGAYd5nVfXfns/piVOuAXDxZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFhZAhmEsFOD/A+10w0cL/HypAAAAAElFTkSuQmCC)
A body of 2kg has an initial speed 5 m/S. A force act it for some time in the directive of motion. The force
-me time (t) graph is shown in figure. The final speed of the body is…….
![](data:image/png;base64,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)
physicsGeneral
physics
A vessel containing walker is given a constant acceleration a towards the right, along a straight horizontal path. which of the following diagram opposants the surface of the liquid
A vessel containing walker is given a constant acceleration a towards the right, along a straight horizontal path. which of the following diagram opposants the surface of the liquid
physicsGeneral
physics
The linear momentum P of a particle varies with the time as follows.
Where a and b are constants. The net force acting on the particle is……
The linear momentum P of a particle varies with the time as follows.
Where a and b are constants. The net force acting on the particle is……
physicsGeneral
physics
A vehicle of 100 kg is moving with u velocity of 5 m/s. To slop it in /10 sec, the required force in opposite direction is N
A vehicle of 100 kg is moving with u velocity of 5 m/s. To slop it in /10 sec, the required force in opposite direction is N
physicsGeneral
physics
A ball fills co surface from 10 m height and rebounds tis .2.5 m If duration of contact with floor is .0.01sec the average aceleration during contact is.ms-2
A ball fills co surface from 10 m height and rebounds tis .2.5 m If duration of contact with floor is .0.01sec the average aceleration during contact is.ms-2
physicsGeneral