Question
Three identical blocks of masses m = 2 kg are drawn by a force F with an acceleration of 0.6 ms–2 on a frictionless surface, then what is the tension (in N) in the string between the blocks B and C
- 9.2
- 1.2
- 4
- 9.8
The correct answer is: 1.2
Related Questions to study
When forces are acting on a particle of mass m such that and are mutually perpendicular, then the particle remains stationary. If the force is now removed then the acceleration of the particle is-
When forces are acting on a particle of mass m such that and are mutually perpendicular, then the particle remains stationary. If the force is now removed then the acceleration of the particle is-
In above problem, the value(s) of F for which M and m are stationary with respect to![straight M subscript 0](data:image/png;base64,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)
In above problem, the value(s) of F for which M and m are stationary with respect to![straight M subscript 0](data:image/png;base64,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)
Consider a special situation in which both the faces of the block are smooth, as shown in adjoining figure. Mark out the correct statement(s)
Consider a special situation in which both the faces of the block are smooth, as shown in adjoining figure. Mark out the correct statement(s)
Imagine a situation in which the horizontal surface of block is smooth and its vertical surface is rough with a coefficient of friction
In above problem, choose the correct value(s) of F which the blocks M and m remain stationary with respect to M0
Imagine a situation in which the horizontal surface of block is smooth and its vertical surface is rough with a coefficient of friction
In above problem, choose the correct value(s) of F which the blocks M and m remain stationary with respect to M0
Imagine a situation in which the horizontal surface of block is smooth and its vertical surface is rough with a coefficient of friction Identify
the correct statement(s)
Imagine a situation in which the horizontal surface of block is smooth and its vertical surface is rough with a coefficient of friction Identify
the correct statement(s)
A solid sphere of mass 10 kg is placed over two smooth inclined planes as shown in figure. Normal reaction at 1 and 2 will be ![open parentheses g equals 10 ms to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN4AAABYCAYAAACajklyAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAC69SURBVHhe7X0HWFRZtnW/+Wfe+9+bmf9N6J6Z7lbbnCMmxJwwYM45Z8xZ2rbNWUwYMSCYU2ubc8QICAqiZATMOU8b1r/XvnWLQrFbuxVQavntr6y6t6puXc46O559PoMddtiR4rATzw47UgF24tlhRyrATjw77EgF2Ilnhx2pADvx7LAjFWAnnh12pALsxLPDjlSAnXh22JEKsBPPDjtSAXbi2WFHKsBOPDvsSAXYiWeHHakAO/E+crx4/hzPnj1TefHiheVVO9I67MT7SHH71i1EhIfj9KkTOLB/r8g+BAT4Iz4+Dk+fPLGcZUdahZ14aRjPnz1HbEwM/P1OY/++Pdi4YR2WLl6EaVMm4zu3oejVoxvatGyGRvXqqLRv0woD+/XB+DGjMM9jNlYt98H2rVvge/QIQoLP4eaNG5ZPtiO1YSdeGsPLly9x5/ZthF24gC2bNmHsqJHo0rE9GtWvjUrlSsOhQD7kz5UDhfPllv/nVSliEf1//jwoJMcK5s0Np+IOqFW9Ktq2ao6BfXtjrscsHDqwH9FRUbh//57lG+1IDdiJl4ZAPy347FnMmTUTLZs2QqliDiiQJycKC5nKliohJHJGi6aN4dqtC4YPGyKabQwmjR+XRMaOHoVhQwais5C1sWjBGlUr6XtJSpK1QulSaN+qJbyWLMalS5cs32xHSsNOvDSA50I4mpOzZ85A25YtUNKhMAoK4SpXKIsObVoLyYZixrSp8BIz84cNG7Bvz24cO+YLP3mPv7+fvNci8n+/06fh63sEO3dsx+qVK+A5fx6mTp6IoYMGolmjhihRuBCyfP2lfkf/3r3UfL165arlSuxIKdiJl4qgWRkXH4f1a1ejU7vWSrY82bPAuVIFDB7QD8u9l8H3yBFcDL2AyMhIDaaEh4UhLOwiLl6kXEhWwuRYmJwXLudHRkQgQuR8SAj27d2LWdPdhdzN1STNkTkjqlYshwljx+D0yRO4d89ufqYU7MRLRYSeP49xY0bBqURRZP8mA8qVKokBfXph3ZrVOHXyJM4GBeHChVAhTrghNsQjuV4jnfiFJvF4Homn7wmX/8vz0NBQBJ4JwIF9+1SDNq5fV03QvDmzolnjBvK9a+wBmBSCnXiphNDzIXAbMgiF8uaGQ8F86NqpAxZ7empqgASKjY1RslGzXRDChIaetxIrOXmNiDyXwvcKwfkZJF9UVKRKgJimmzZuxPSpU9C6eTM4FiuCapUrYpqYpRFCVDs+LOzES2E8evRII4v9RbOVcCiEyuXLYMK4MTh65LAQIspCtgtKFIqVQCKmCWmKajKLWDWbRaznkZA2n2GSmCSMiYlBZHgEDuzdh2HiAxYtlF80YD6M+HYYgs+dU1PYjl/G3bt3dXLjhPXk8WPLqz+P90o8/qGeP39ueWbHqyDptm3Zoj5W8cIF0KRBPc3LnQnwV+Io4cS0VJKIX6dkE7MykVAkV6LQdzPF9OUMSXqeaZqaJDQJbb4WGRGJwwcP4vvh36J0yeJ6bUMHDRBTN9D+9/wZPHnyRCavaPiILz6gb28x36cgIT7ecvTn8V6Jd+f2HRlEAbhy+bLlFTtMPLh/Hyt8vFHXpYaG9/v2csX6tWsRFBiopKEGMrVcmBBQfTQKCSZaKTKSEml5NIQaMlFoQhr/j4xKPEeDMvQPwyxEtGjBsAtiwgrJVfuRnPLa0SNHNPhSu0Y1FC9SUJPxZ8QntON13Lx1Cxs3rEePrp3VTC+QOwd6deui9/xt8N6IxxzUkUMHNcc0oG8f7N61E7dv3bYcTd+4dfMmVi73QbVKFeAg5tzggf2xd89u1TTUdGr+ianCpLmSwko4Q6uRPEqs6ChEi8SYjzLbxlqE/zeFx6xCMpKwpjY0yaeRUUPD6nfL9/I7zp09iwVz56BOzeooKr7nwP59tOrFbnYauCl/S6ZzRn0/ApXLlUGWDF+idIli6N+7J34QIt66ddNy5s/jvRHv6dOnQrYdaNG0kfzB8qNpw/qYP2cOAgPPpOswNU21Hdu3oaZzFeTLlR19erriyOFDhkkpg93UcjT9wi1mJTUUiWJqtehokklIRRG/jGVkplyKjbWK7es8zxCDiEpci8bk54dRy1m0n2HaynXINfH7A8VqWbRgAapUKIeCeXNhuNtQuZ7wdE2+u3fuiHVyBh4zZ6J2dWfkyZ4VxWRiotvAtM/lhATLmW+H90Y8VsbfkYs7feoUJk8YrwPNsWgRtGreBKtWLE+35ic1DHNy+cUU4b3YJLOiQTIxLS3+HAe/1awUwpEk0RTVakIkksqGYJS4S5cMibMR8zUR23OViBbymiSMUBPUMHFN89OcAEhOpjPGjR6FEmJysoJm7uxZuHIlff4N4+QesniheeOGYlLmRO5smdGwbm0sXjhfTfX74ka8K96rj2eCDibtXzqcTNBWLFsavXt0x8Z163AjHeWJnv7736L1PVBGfLoaMhGxTMvw4RKDHCbpbM1Kg3AWU5LkIZFMUinJ4hBPkftsCu+59bkc4zkmGU3yGZrQJJ/4giQfTU+KXIMZTTWjor5Hj6KfmFAcaBXLOIlPuiZdBVt431atWIEeXTqjmLgI2b75Wv6OlTFpwji1Wqhofi0+CPFM8MKXLPJEM5kpSpcoqn7DxHFj4XvkMG5cv24569MEfd4Af380qlcbJYsWhvuUKVriRZ+Ls+SrpKNpGRUVYSEdCWeYkQbZhESXROLjkJAgJBOzhkLzxhRaFOb/9biVjAYJDfLaaEALAQ3TUzSfXIPV77NcGzXklh83o3mThsj4ry/QpkVTBJ45g5cvPm2Tk/ds3549GOE2DGVKlkC2TBlQxrGE+rssxbt//4HlzF+PD0o84vHjx+KcB2P2jOmoV6uGOuysmFg4f57OrPQNP0Uw4MHlOZxwOndop9qDBLM16ZKQzqrpohMJJ2Kr2ZRsQjCS7FW5euVKkue2pOR7X9OAQmx+F81OI/JJ8lmCLnJtFPqCnCQ4eZYpWVzL2VhexrWAnxrovz558hhnZGKZMH4snCuVR94cWTS1wtUhmzf9gKtXr+Knn36yvOO34YMTzwQHw769Mot864bqVSqhdMliupbs1zimHwO2btksZnZ5XZbDXB3JRnKZpCMBk5BONKHhz8VYtRxJR62lBLosWk18rCtCMJJM5Srlqso1fTRfExKSiDzHQkKrKWpqPyEfhVrNanYK0ZR8cm1qCosPGiPXc1RNzl7IkSUj6rnUgJ/48Z9aoIW1rB6zZqJpwwa6IoSTTGvxyb2XLtZiAiqQ94kUI54JztorvL3RuX1bUd/FtSDYbfAgbJOB+qk47xy0fXr1QL5cOXRVgJ+fn9V8U23CPJ0McA50W00XG2OQQUlHDWchnWoxJZoQ7Brlmsr165TrNmJ5zXKcwvfwvpK4lxMu62daTU9qPvlOK/mSMTnD5RpDZFBuXL8eLjKJFCtUQP3Wmzc/fl/9pfxjzpSrOLp16oiCeXIhV9ZvxDKricnix5045oufxE//EEhx4hGMgHKGX7RwvkaHihcuqJqBdYMMZf8WpzW1QU1AM7pYkYIoX9oRy5YuUU2mGsTUdjKwNWUg/pWh6ZL6dFaz0kI6ajdqNBKJvvGN6zc0SMXB/5rI68Y5BhkN8lH7JZqgVvJZtB59PiXfayYnUww0OSN01h81YrhaKh3atobf6VOWX/zxgf43JydaYPTbGH0n4co5lcS3QweLW3D4rUu/fi1ShXgmbomvcOL4MUyZOF4XeRaV2bRJA+b/PBAtg+BjBAd8H9fuyJE5E7p0aI/du3YZxJOZlaSjX0etYgRTIi2ks2g6C+lsCUfScJAomaxku6n37vbtZEReZ8LeJCLfQy1ITalmKE1Q+WwSW6OfVs1nS76kJqcZ9fxh4wa0at4MZUuVxPo1qy2/+OMCfbTjoslYHlelQlldGkU/jtHbHdu2qR/8vvy4n0OqEs8EzaDNP2zU5HKlcmV0eQwH7RoxARik+FjwbzFL2N+E2pvFxnM9PLTkiqH5CxctUUwZxNQgponJAf+qprsiclU0FLWcSbqbN4RsSribSi62h2BS91WhtXBbjvE8FRstaEs+BmleJR8nCGpgM8muKQYhnmpr0X5caPud+OhcUTFx3Bjcu3fX8svTPvi3OXXyuJbEMdKcJ1tmLfNq17oFvJYsQqiY0ymJNEE8ExwIzHXRqWXexLlieTVvDuzbqwMmrYNayGPmdE0f1K/tgj27dynJQi+c14GbhHjUdqJhrMTTVIGNeWmj6Ugcko6Eu33bINi9u3e1Kj45MclnEPAWbt4ytJ/6fgzC2Go9G7PT0Ho2xBOtZ2pqvX4hIgMQdA06tmvzUdRxPn70SH8LJ/EObVoif85sGq1sUMcF06dN0XK41ECaIh7BYuLzIcFaKUEnlwRk0pL+HyNPnLnSKhilZOi5hENhDBnYH6fFD2LQgiF508wk6RKT5JbUgZg38QmJJmYSTSeEIXmsGk6IxRI8Vku8SXg8KQnF/BTtZ6v5NOBiIZ7m+kTrkXicDLSyRa7TGmixEI8m8drVq1C9ckVUq1wBq1b4qL+UFkFfmxPVtq0/av2wo0yGeXNkRYUypTB21Pc4ffKk3s/Uis6mOeKZYGBg986dYou7aeSTg7lV86ZYOG+u+EfhlrPSFg4fOoQqFctpusTba6kWHNOXe13bJQZUDBPT0HamX5dE09G0TIZ0Dx48UHn48KGNGK+Z5DMJSNJafT+Lz0eNamo9JuU1zZBE61nIJ5MFr52/gde8X6yP3j26qV/EQAS/N63hwYP7am2wIRT9uCwZvtIAypBBA7D1x836G1MbaZZ4JjgIOcvStGEVeHknR3GEXbF500b1R9IKmHz1XroUxWRAtm3VAgcPHLRW/VNjvE48owYziW9nSzw1L28k+nM2pCPBOOC5vi854TEOPpOAVr/PQjyrv0dfLxniqdZLhng02ejnzZ09EyUdCqFl08b6nrQC/s6Tx49jpvtU9bMZOOHfgw2jOBFyoksrSPPEIxhlIsm0/KxhA21TV6VCOYz+fgROnjiuAyy125ezHIs9MNnTsmf3rlosbqYPlHivpBA4wDloOeDVtxPS0fxT3040Ek3M26LtTBPTlnSPHhmkY1I3OTHIl6j9rCYn/T353Bs3riu5+V22QZYkxNOKlqR5PT7SbN60cYPW4LpUq6oRwtSu32Ton/d02dLFaNqwnq4CySNmJVNVTO3QQkqJSOW74KMgngnO2CTalIkTdLEmk7lMQ9D/Y54pNREUFKiEyyvOO6OzbLNHLWEGJ0ziGdFMI4XwmrYTIlATkRg0Me+Ib2YGUkggEsnUaiQYV0Cz5M4UPqcY5DPMT77H1uRUX4/ks/X1SD4GWSzRTWoGmpuq9V7x82iCHj58SINHzFOyPWBqmpuM/nL1S5cO7bR1Ra4smbSXqPuUSTh14oRq+LSIj4p4JpjH2vzDD7r4sJxjSZQqVgSd2reFl8x4HCCpAeYjW7doipyZM+lCYBYTK+leJZ7MzG8ingZVrNouqYlJApnEM0nHQBNncj6aYhLw0SNT8z1MYnLesgRaSG7D3ExMrMezEFuu6U3Eo7bjtXNSoZnJ7mhLFi3UCTGlwevduX0bvh0yGOXE/cic4UuUdSyhVVDbt21NlWt6F3yUxDNBH4Uru1s1a6Lrxrj8htFEViRwJk9JE4jNitgijwskWY9qko2PhplmRDTVv5PBS81iEC8uaTQzCfESAyoknenXGaR7qqSjMLJIMUlI8plm56vEMyOcBvHE3LSkFpR4Ym4q8cTctBJPJgszrWASj6suuACUVSwL5npoICylwOv3F+JPmzRRa2FzZfkGJYvKxNuurS5boib/GPBRE4/goDp3NgjzZQA0qFtLV0wzCjr6++80nJ9S4W6uz+JCV04AXAhMk0wT55YaTQYpzILoX0u85LQdJxf6txRb8pkmpy3xaLaa5qZR0XJdzFsxN03i2aQVtIpFJgkNsIjW42p5Eo+RTSVeqxZwEuLxvqfEYGfYnyv058yagQZ1jL8z/TguTmWhPe9vapq874qPnngmaFqwFwZDyM6VK2g0i0ScNWO6NnH90CDxuNqC5s70qVN10KZl4lmjm+9APP4WHrMl3oJ5cz448ah1WfPauX0b7bad/ZuM4mPWhPvUyTjme1TuzbuvAE9tfDLEM0ECbli/Bt06d9BOWewA1aNLR6xbvUoHPgfmh4BqPDF5WdUxafx4ba1AUzOliPequfl+iZe4Ot0kXjsbjfchTM0XouEuia+5a+cODBrQV6uBmB4oX7oU3MSv2793r/6+jxWfHPEIDjoObh+vpbp6motvGQig/3fo4AGNEr7vigXWaNLsyZ0tC75zGwZW9Sf18RKjmu/HxzOIZ0s4QxhkYYDlTT6eaWr+eh+PG6RYfTzReO+TePy78PedOnUSo74frluTsb09m/9yP8Cd27ermczf+jHjkySeCQ5amiLTJk/StANzbC7Vq2Lc6JG6k+pL0RTvC0zctmnRDDmzZMKAPr21vygHqylW4llqNE3i2a65M9bbWZLnQo7bd5Imzk3ykVBPnz5RkpmEIxEpZlTz8WMj7cD3qLaTzzG0HXN5QjxqO2vpGHN5rNm8pPnIJMSzjWpeMIjHHGWLJo10dT1zq+8rgkjSBfid1vQQ0xX5c2VHvpzZVLuuWO4Ntr3/UOvjUhqfNPFMcNCxg3Ofnj208qVooXwaCOGg4cYg72P2ZICnt2s3HSh9XV2NBLqZx3tr4iXN4zGC92oez9R6JvnMHJ5JOIN075jHI/Fs83hvIB5/B03Pw2I10MfiXnvsJflIvue3gPef9bk+Xl7o2LY18ubIpuvj2CKE+bgA/9NCyk9rf/d0QTyCsykHNn09bllcOF8e9RvYCZj1e9fkGDXGrwVNxvFjR2lVTc9uaatyRVcy0MxUbZe0csXWzDRJx4nhTZUrJMjG9et0zwcWMTBJ/WvTNtTY/P4d27eiZ/cu2o+VVScVy5bByBHDdeuwD70gNbWQbohn4r4MYC4FmT93DhrVr6MEZAuKYYMG4OD+/b/6D03ts9zbS9MJ9H/4WW9fq2kQj/6WqfGstZqi9e7YmJyM4D18mJSAiZKo5Ug4/lYlnZD3jpCOJmFiraaNfyeS8CrxVNsZgRUSzlqrefq0Nq6iz0XTmoT9NeB9Prh/n+7RULGsE7Jm/Eo3yxw6eCB27dqpn5uSediURrojngkOTLZw40pkzt5c3Mk1WlMnTlB/jabbu4JJ9KqVyuuSGa4rNFcncAMS7lWQlHhGV+hLl0TjXRbf7gYJRpPyHh4KuR7cF6LdYYDFYnJaiGdqPsPsNEzPRHl9dQKJR61JbWcSjxrV6MUij9dFCzKpfuMqLouPx4XHNDPZXj7cJB5TCUI8EpL3rGe3Lhox/s5tKB4K2d8FnCC42ebUSZO01jNH5gy6Rx9TBSt8linJ0wPSLfFMMNL34+YftNkNI5/cKZU5Ktb/ccDRZ3pb0DTrKp/DlMLAfn3F3Dypg9U0OZlSIPHU3JTBHRNrmJlX4+X/F4IQdOoYTh47hlN+gTgXFoO4K2JqCvnuijAayWs1Caga7Q3C4zxP/TqamCTWLZqY1HY3cYMkFC1687pousgQBAeeQUDQeVyMFNLFxqiZaaQRktZpspRs9aqVugcEJxc2CWJE9W1ATc3GQt5eSzQwkyd7No0A04+b6zFT7016QronHkG/iEEEVkBw7we2W2f+j74aw9ccwG8DahUu4OXaLzbv3bVzuw5gDlrKq+ZmrBAvLioEocd/xFYvd0wfNQzDhwzGt8NHY+Kc1Vh/8Bwuxl8TkrCXitlnxfD5TGIlK3JctZyIEcW0+HWi6TSgIqbllcuXEH3eF77rpmPaiFEY5b4eOwNkckiIQwx3G7JJI5jE4/XPnjlTixOood62MIH+5IZ1a7Se1qFgXg2esLvAlEkTcMY/QK83vcFOPBtQW3CZy+SJ41G7hrP2V2T7eZpU+/buVjPp58Do3HHfo0o6mk8es2ZospmzuRnd5GCOoGaJjELChSM4umoCxnVvgfbteqDfqOmYOXMypg1qjQ51aqBBxxEYv84fAdG3cP8OTc7EniumBkxOzFydEcE0y8OEfLcu4/KlIPhtX4lVM0Zi/KB26Fi7FEoWrIIabafByzcYoVcvIyYyHJE0McMt/qmFeCyOHj5sqKZlWBZHs/bnQNOWgatB/fvKfSylO+vQn+bi5l07tusEkF5hJ14yeCgDaueObbo/HM1PErBhvdrab4R9RkjQN4HapW9vV62y4OJdrqI3u4yp1mAFS4xom4hQhGybiCmtisExVwlU7TwJHvtCcDb0FAK3jMR3tXMhX+ZicOq6GN5Ho3HnPjWY4aOZjY+UgK8INZw1iKKmJSOYrMm8jhs3E5AQG4ATm5Zi2cQBGNbVBTULfo0Mf82Pkg3GYN7hswi+ekWuTbSy6duJmUwtzcljw7p1YhE01vYJjGy+CbwH7Jw9dfJE1Wzcc8CpuINuN03z9MrlT6+B8bvCTrw3gL4LI3/cfIUEot/GhqdM5q5ds0qjgG/K/y1d7KmmKvvtM1fIpDMrWQxf7yKiYmNFowTi4NwucHX6BgUcmqDb3B04GP8A12/G4GbUSnj1LYfSX+dAruojMfXHQFwR4nFA3xQi3RTtpQTk8+TEJJwZvWTagMt/NGcXj1i5nrhL5xCwfy6mNiuKEl/mhWPDMZh7KAjnriQgSomW6NuReMx3ci8BVquQQNTkr4L+MDX6wnlztJCZExbXJzZt1EAXqdLf/S0pm08JduL9Ahgt5B5/nvPnoVG9OlpNoTu69uyB7Vu34P6917Uf/SNqS/qKQwYOMBbFWkjHCGdEVLRolLM4sWIExjQvC5daHdF/4T4cuPRv3LoagWsn3TGjbQHkz5APeetPhcf2ENy4R5ORXaKNbtL010gsI/VgCJ8bYvhyFNtO0gzkJCRcxeWrN3Hv8TXEBq2BZycnlM2YF6UaCfEOBuLc5XghHrWdMVGER4QhOPgc1q1dA5dqVTSN4LlgnpqxtmDVCwuZmSMtmDenVvDUdamOWTPcNQXBAI8dibAT7y3x+NFjHNi/TzfmZ0QvX87s8lhRdz/iTriv9pjkYkyukqjpXBVLPBeq9mBu7MJ5Bim4J10oQk/swO4VHvCctxjLdwUiMDoBMSdXYb1bDdQukBk5HFug3dQd2HM2XsP9TPIz98bFq9RiZomZKXxuiHleYoKclSmU+DiWhiWIZo1C6HFveLRzRGkr8c7gnGjEKDEr6dfxmhnJZPifVT80GVmxEnz2rOVXcnOWGGzZLH5cv75qlmfN9LWuTKdfvHvnDo2w2vE67MR7R9y9e0c1HVvGsdKCy1SaNKinJiX9N2pIggSgj+NUophqgSOHDmnkVH090SQa4aS/FxmFaPH54mLk+bGVWDO2GZo7yecWrYeWw32w0S8c0eKfscmtikYkE8UkmEmyV0WrUpRwxiYout3XpXhcuxGJkGNemN22pBLPseFozDkQgLPxcYhkzlGujzlI7puwYO5cMZ0dUChvLsx0n2ZUwdy+rflObl7J0rHsmTIo8Vy7GZVAPG7Hm2En3q8A0w/UXizcbduymeb+WAHTsW0b7YjGoAbByhXmrLhCmpHSkydO6PtY5X+BSfWwSMTEXxF/MQJRvt7wGVYXDR0Lo0SldugycR22+ocjMoEEEvKwwkWIo5pLTUZDSCxTbF9P1HDGigNWpRiVKZRLuHItHMG+SzCrTUk4ZTCI57HfH4FxsQiniSlamdfKzUqa1K+nlSWcbIICgxBy7hxmCAHr1KymEU7tyNyyhZbjsbqF98eOn4edeL8BDCacOO6rhbyswmB+iuVPg9l+Ys9uNflW+vigRtXK2oBnsZicJKMR4RRTLjIWMeFnELR9Njx6uaBuaSdUqt8Hg2f/iD3Bcbh85y7u3hKfLUHIIyYdCaRi0V6sDzUJZpLMFOu5FJJO3m+Ug8WIho1FghDv3FEL8Swaz2OvH85cilEfL1yukVq6by9XFJFJpa5LDSHbVCxauBBdO3dC0UIFUVgmnE7tWmOp53ycO+OHZ0/fvtggvSMdE+8Znt0VTRHFcqgoxFy+iwfPbNboPb2JGzHnESoD6kzgWZwLEyLc+0ne9ToeP3msfV7o51Qo44Tc2TNrLo+BBYbge7t2147YbVs1165cF0WbREREIjI8CP7b52BBvzpoUMkZLh0mYuaWswhJuIG71yMQefYETviegv/ZC4igtrJoLUpcLAloaMHXyCbHrBrOIrovQrTRaCk6Nh5Xb8XgwkkfzGtPHy8fSjUeh3mHgnD+aoKQPAqnTx7H+DGjNe9Gk5rVPO3btUM5mRwK586MYiItG9SF58IlOB+RgAfJLR74SUzSOJlggvwQeCYIZy/I5HH7KexxzXRJvJd4+ew+7kT74fSPS+HtMQVTp/tg1a7ziHrI0SPHH4h2OOIFrwlD4NanFwYPGohBwydj9vrj8Lv8E/6dzBpaVtpzTRs3X2GFRuH8ubXCg53HuCMs9xCnScogxeHDR8XHC8aFw0vg2b8Gajo4oGwTN4zwPoRjLN26GIKQg95YM304hrjNwaIfjyOYFSUkk0VzqVjI9SrJzOMG2Vh7aawmZylYlPiUEWERovUCcWqvB6Y0dUCJf+ZEsdpucN9xDP4x0Tjj74/FCxdo7xouQi1epBAcCubTjT5K5s+B5tXLolebJhgov2X4t6Mw1WM51u4/h5BrT/HEvDdPxEQ+tRqr3N0wvG8vDBk4EAOHjYf7igPwjXmCx5/WKp93Rjojnvy1b5+B3+qxGNe7E7r1GY1xc1djwz5/BEVcxx2m5Z5FInznRIxvVwv1mg+C29z12LByOqZ0rYNGtdqgx7QdOHLlKd7kxdC/YSnVvDmzdUU6B2z+3Dl1uRBzWmUcHTF8+GAc2O2DbdM6om2hv+Gr//0CmYpURa0WHdCtUxt0btsULaoVRcXS5VC2jTtmbw5A1OVLQqpoMRWptQwxC60Thc+NImdTDMIZLdkjhYARYedx7uBGbPMahbH96qNOgX8hw3/+BZnzV0XzwWMxYekGfD9uBuq41ES2jF/ii7/8GVm/yaR5ya61CqFPtZxwKV0eLfpOw5wNO7FpxQxM7tkMzWs3Q9cRy7Ex+A4ePL+JK75zMLubaPJGvdDPfTXWrZmL2b0bolmNJug4ZgN2RT3Eb99J/ONFOiLeEzxKOIojnv3Qt76YdfVdMXjeTuwKvol7Vg32HI9Cl8HbVcyv3GVQbegmbL0qdH0s5tLitmhXJDNyl+mCgRsjEPbg51tHMFHMPiwjR3wHF+eqSkAGIbJmzICSxfOjX49GGNe1PgY1q4Nu4jN16tQeHVo312BNmxaN0aJBHbTo0BcDPLZhx8kwMR+FSJY1coaI9qIGsxDLqtH0HJvzIsydf8IRIdou7EIwgvavw2bP0Zjg1hN9OrWFa8fO6NLFFfVbdkCVBqKtS5THl1/8HRn+8XfVdjQx58/zgN/yQfDq7IgyRaqj7qit2HXjCR5c80fg/LZoX/hzZC3YAK3mn8Fxf7mvI6qger6iKNfdCytjXohFEIdL63qiZ6lvkKtYS3RddhaBiTc+3SHdEO/FfT+cWtwdXSuWQNkGIzD6hzDEP30hhqUNXl7FBe8e6OOYDYWcusNty0UYu/Pdx8twT/GHHFAwmxPK9d6ILecfUX/+LLj4lvk9bjPGIAW13r/+/hd8+flfkOXrf6Jx3VqYL5qRm51wCVHw2SAEBZ7RthEsHg4MktfOcxU7837Ghpam6CqHV4SvmWJ7LlcYMH1B0WqUEDFzRbio9ax8B7+P0dgO7dogT45s+Pv//gmZv/5SN19h24xz3KXppyd4GrYLe2YMwND+k+Cx07w3ch9OTML0RlmRO38FVBu5GQtYB1o9F4oVa4WePv4I1fPEs4tfhRV9nFAimwOKd1iG5f73fvEefqpIJ8R7iKsHp8jgKIASBV3QauZ+HLolVuXzp3gmDpt1ueXTE9j1XU3UzJIHDvWnYmnAdUsgQM7492FsH1MLVTPmQL6qozHjQCzedltGlp+x6zGjm//46/9T8v3tT39E9iyZUaeWCyaMG4OTx45rsyOmAphr4x7lcZdicClKSBZm5P7YYk9JRGHkkWQ0hdUm8mgVk2gm2fh+CqOpYeG6JCkuPgFBQviFC+ahRZMGKCITwz//+if87Y//hTIli8NnmZdekxU/3cftS0LyyARcffDMIM0zudbVvTGwQg4UKd8MrktXYdbIjmiVJwcKO4+Au9wnq0n5wg+HZzVD/WxZkctpIEZvDkPa7vf84ZAOiCfD41kYTsxsjfa5P0eOvNXQcJA75q5bi5VLPTBn0kRMme6DDQd9ERy+Gp6uFVEyQ3GU7OiNraHmchXqxQs4NqcdWmXLiLyFO2PYprN4271nWDs5b46HFhfXdK6s3c5aN2+KbJm+xh//8B8oKCZoJ9E2LMJmOzsShsQjmVgrSdIw96fEuSjEsYhJLhVbrcbjJFioQTjz/TQ5GYShObpv717NxfV27aFbbv1FyJY7W2YtBud6O+7MxD3qk608eRaPWP892O69AIsn9oZrnXKoVr0j+s7ZBN+wTVg7qg4qZiyIQo1nw/vUNRurIgZnfHqjW/5MyJNLSOp1Qu6qcXfTG9IB8Z7g5YM92DC0Jqp/9S/kKFgZNZr1gNvIkRg3uh8GNCuLikVKoEpLV3y7YCwGNS6D4t84wanHGuwJsx10sfDz7IrOeb9Cvnyt0G9dgA6aXwJzfWtXrdJ24yw145o/Rj/p/7GOk526smb4En//8/9oFQxb2K308dZ2gUGBgaq9rMERmpE0H200WrIiJOQ5PJdJcA2yREciRExLmrVsdd5HTN/8uXJo8CRbxq9QXbQxW8/v3rUTs2dO1whslQrlsEEmqKTF4I/x4uoxHF07G1MHdEbv5s6oWb4CarYZjSmbj+Jc2FqsGFQFpTIUQaGWnlgbYFujeQ0hawejf9GMyJetHjp5HkGgvJoezc10QLz7eH59NZb2KINin+dEwRpumLReZtoYNhs6j6jD0zCptSMc8xdB0bqtULtEEZQSP650txXYccHWmIzC6YWd0TGPDJpCHTB441lEWI68CfTxqHn6uHbXnWyminZlATPB4AtLurjlFXNkDNuTBOyuVa5UCc39rRACHvP1RUhwsCbez4uYGkw14c+JajnjkcLdlEgi1+5dtdMaly19+flftZiZ13f40EE1KzlRcEkP2yFm+Ofn6N+3t15nIkQ/PbuPezfEJI68iIizB3Fk6SC4NXVGrQat4TptDAa0cUaFbwrDodk8rPSz7bl5BcFrBqKPQybky9UE3ZYcB3cet2u8TxLiwF9fhSVdHVHoHw4o2nopNofb9lMJwhH3pmiUNysyF6yFyoUKoFIeBzg298CqINPHk6HxMhCH3JuhUbZsyFt+CCbtjsAvrZtmh+fjx47pqoZSxYtokfWrYJOkUydPYLHnArRs1lgG+xf4n9//hxKjVg1ndGjbGoNFM3Lh6cIF81Vb7d29GyeOH8eZM2dUKzIgY0igBkq4GHfHtq26ocscMV/ZsYv5Qyb1s4h2+8NnnynRu3fppMt1Xt3ijOVnY0Z9r6RkQ2CWtyUiGf10Zwd+HF4NztmzI59zG9SpWh4uufLCofZ4zD0SZ5N6CcPpJV3QVu51rmKucFsfLDowfSKdmJoHsHloFVT8Oify150Gr4A7NsMnGL7Tm6KpmFZ5SndBpwZV0M5RNGOFvhizJxZGaEHOvvMDVvctA6fMRVBC/L/VQbd/caZ+8fy5mpTcIJEVIAcP7LcceR0vXr7QVQ5uQwdr27ycovn+/F+/x5//7+91rwCWovFzWjdvhm6dO2JQ/34YMfxb3ZxzzMjvMeb77/X/o0Z8p1tVuXbtom0sqpQvixxZMuLP//0H1ajsgsY+J1xVQZImBzZcWiWk5fZnTRo1FI0r5z2PR9zp7di6cgM2n7qMhCTVYedw2rMVGmfPim/yt0Tz2tXRtWx2FHTshAHrgi3RT8HTvdg20hmVsuRDoSYeWHj8Oj7uftC/HumAeDSNLuGcdy/0dcqGIiVaoffSY/C7z9Z4N/EgwgdLepZFOfH9KnZfimVzRmFe+yJwLFINTabsxu7rj/DoXjRu7BoGt5p5UKhkc3T0PAf/G79sIJF4x8VUbCaDl1UsXksW/Wz7iOfPnuk6N2rGfr17avrhm6/+oQXKXAfI5/QDWSPJLl80X1mkrK/ly6PPWd7FfCE1JlstmEINx/V0HjNnqOnJVfbUyMmBwaD5czz081o2bym+pXhiT49i/9SWaFqsHCp388KKU9fw6MlTPH18Fw/j1mOdaLxKuYuhoMs4TJn4PRb1dES5IuVRa/g6/BAv9/rhFTw4Mg4TmxRAEYc6aOZ+DEcup0fvzkA6IB7xDI9i92LvtDboUKkkyrp0RI8p87Bk6QzM6l8XDVic3GIcpu6ORlz8eYSs7IN+zmJuVu2M7lMWYfmS8ZjUpjSqODqj7uCVYqo+woO3bPkYGnJeTLrOWrUysH8fjTj+EhjMuCh+2prVqzTY4lAgHz7/3z/qJvo1navAbcgguE+ZrGsDO3Voi6aN6muPS0You3XqoNrx63/8Hf/zh98p4XjMU8xU7qbL5UO/BBKT35s3R1a55gF48PC2zAoJCF07GAMr5kaBwrXQdPB8LN+6A9vXz8f8IY3RopITqjQajGE+AQiJuoCwLd/huzpF4VS+JdqOWQBvb3fM7FIRNUuWR3XXRVgZdAd3U2YHtTSJdEI8C+4GIWDTfMyd7I5ZC5Zh1aolWDR9CtxnrsSG45cTc0pPwhC6dR7mTpyCGXOEeN5zMXvCRLh77sT+iHcfLYsXLdTN+rlCgf7Zu4DVJ15LuEVVWzhXrID6tVwweEA/XVy7Z9cuBAT469bISxcvEr9spNaFMmVRtUI5tGvdQrueBYkv+LYg6X2WLUOlcmV0/wJ+hxVPoxC93ws+0ydjxlwfrNqyHds3esN71jTMnLUM649GId40BF7GIWbvIiyaPAnTZi2Az/L5mDNpAqbN2YTtIY/TrYlpIkWIR5+BNYYMbfMx5cWoaWSz1hgmpIP9EeB7AAf3H8ThE4EICo1AlJxjLT5mvWNECEJOHcDhHZuwTWb2XQdPIyCE/TAtn5Ps9yQn0RrAoBbiqvUJY8ckc46tGPWWZuEz/88oJZsEsZyMezNQmzEySd+OUc9jx3wxbswozRN++cXfxKfLhCYN6mLJYk+tiOFn6udZNiTR70j2u6M0KEM/khqa7Q0Z7TTONyUMESGncPrgLuzc8iO279yHwyfPIjgsMvEexpr3OhSh/odxdOdmuYfbsGP/SfidC5fz3vUepqxwsuMWYb/UVe63IEWIt/XHHzU8XVlmUT6mjlRDnVq10LB+PTSp54L6NatqW4ZatWrLa3XRuG5N1KtpnFvbRY7Xq4NGtauhdtUKcK5cGTVruqBB3dryWnXUqfHqZ79ZuFiUhGCaINOX/1BfL7nzkhO+t34dF42KVq9SUXNrGf/1hZidf9JH+mCshjF7oWT++l8aQPn6n59ro6GqFctpQIYbdDKimdx3vCpcTZ4ra2brtdaUzzePGfdF7pXcv3rVK6GafH7VylXgwnsoRG9cV467yD3juXK/9B7WkfvlzAa4lVCjhrxWl6/VQN13uIcpLVza1bRhffXPPxRShHgzp7vjs88+S9fy37//DH/8z9/hd8kce1v5z//gZ/wfjXQy5fB/bI7x//8tr/HYn+Sc//pd0ve+ixjf8ztNOyR3PD0I7y/znh8KKUK87Vu3qr/AWZuP6VHY7o5iPK+Z5NjbivkZiWJ77PXjtu99J7F+VjLH0oGwyoi7+548fswygt8/UoR47Dismx6Kn8HHdC3mKvHkjqUFSevXlwLCccqyvg/ZOyZFiGeHHXYkhZ14dtiRCrATzw47UgF24tlhRyrATjw77EgF2Ilnhx0pDuD/A7nXJa89H2e7AAAAAElFTkSuQmCC)
A solid sphere of mass 10 kg is placed over two smooth inclined planes as shown in figure. Normal reaction at 1 and 2 will be ![open parentheses g equals 10 ms to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
The number of integral values of k for which the equation has a solution is
The number of integral values of k for which the equation has a solution is
Number of solutions of the equation
in the interval
is
Number of solutions of the equation
in the interval
is
Yellow light is used in single slit diffraction experiment with slit width 0.6 mm. If yellow light is replaced by X-rays then the pattern will reveal
Yellow light is used in single slit diffraction experiment with slit width 0.6 mm. If yellow light is replaced by X-rays then the pattern will reveal
In a right angled triangle, the hypotenuse is times the length of the perpendicular drawn from the opposite vertex to the hypotenuse. Then the other two angles are
In a right angled triangle, the hypotenuse is times the length of the perpendicular drawn from the opposite vertex to the hypotenuse. Then the other two angles are