Maths-
General
Easy
Question
The area of shaded region from the adjacent figure is
![](data:image/png;base64,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)
The correct answer is: ![14 c m to the power of 2 end exponent](data:image/png;base64,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)
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Maths-
The area of shaded region from the adjacent figure is
![](data:image/png;base64,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)
The area of shaded region from the adjacent figure is
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)
Maths-General
physics-
Look at the graphs (i) to (iv) in figure carefully and choose, which of these can possibly represent one dimensional motion of particle
i) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHsAAABvCAYAAADMgL/yAAATp0lEQVR4nO2dZ3yT1R6An6RJmlFo6S5lI6BAW5YyVBDFCSqIeyICgixxIFxAuYjCZViZUpAhIiqui6IoiggolCEFZMhqC4WOpG2aNGnWO+6HQn+icNuUljZNni/we5Oc/t8+PSdn/M95FbIsywTwC5Q1HUCAq0dAth8RkO1HBGT7EQHZfkRAth+hqukAqhNZlrkwslQoFBf964/UWdkup5OCggIKC/NRqtRo1GpiY+Mw6PUolP7ZoNUZ2bbiYpRKJXqDAQClUsnZrDOs+/Rj1MFamjZpypNPPwN+XLN9/k9cFEVsNhtvT5+G0Wgsu65Sq4lv3BiPIHFwXxoJie0xGAx+3Yz7vGy73cbHH61hy+afWLJ4Ydl1SZKxWm2cO3cWt9vF6YxMREEAP54d9nnZtmIbH65aSWFhIdu3bWXD1+txOEoQRYFD+3/n5ptvYuRLL5OTnYfFasV/VYPClxdC7DYbG7/7lvEvj0OSJDQaDZFRUXz25XrCGjQAwONxAwqCgoLQaDRoNBq/bcp9umbn5eWxfNnSsuGV2+2myGxm9QcrcTqdGAwGwsIaEBYWRr169QgODvZb0eDjsj//7FMyMzP4a+Pkdrv5bft2zp3NqsHIaic+OfSSZRmz2UxBfj7NmjUHICvrDGqVmriGDVFr1JhMphqOsvbhk9/Zsixjt9sosZfgcrkAGPLs0zRv3oJJr08FIKxBA+rVq1eTYdY6fLJmKxQKDIYQ9HpD2TWtVochJIT4Ro3K3hPgYnxSNpTK/KtQhaL0mrKGp0IFQcBkMmLKM2KxFLHl55/ZlboTURTR63XMSZ5HTGwcBoOh/MKqGJ+VXdvIy8slMz2Dw4f/IDMjgyOHDyHLpXP0nTp3xuFwcPDAfj784ANGj30xINuXEEUBURQRRQlJEnlj8iQOH/qDgvx8FAoFY8a9zC29b0WhUNCkaVMK8vN5a9pU3G4XHkGokZgDsiuBIAhkZmaw87ffyM4+x5efraNe/fr0ueNO+g94gJiYWAwhIQQHBwOgUtWOX3PtiMKHKCgoIDMjnXdmz8JozEOjCebuvv24pfdtXNe2LQ3CG6BW/3OW7ve9e8hIT6dlq1bodLoaiT0guwKIoojT6eTUyRPsSk1l7ZrVyJLMdW3bMnLMizRr3hydTkdQUNAlP+90ODh79ixGk5GnnnkWvV5/le+glIDsCuByOdm+bSszp7+JzWbjwYcf4dY+fUhISCRYq0VZOhS45GdlWSY3N4fftm8rXW/X62usWQ/IvgySKJKTm8PRI0dInjObgoJ8EhKTGD9h4vkJm/poNJpyh3qyLDNu7GiClEGkLFtR9j1eEwRkXwKXy0WR2UzK4kX89ut2RFHkoYcfpf8DA2nStClqtbpC5RQXW9myeTOWIgt33X0P7RMSarSzFpBN6eKJ2+0GSnvaReZCVi5/n03fb6R+aCiz5iTToVOny34nXwpRFDl18iT/mjCepk2bMvChh9HUYK2GgGwAUnfu4KcfN5X+f8cOjMY8lAoFY196hb797sUQEkKQlzNz+SYTP2z8DqfDwf0DHiAmNrY6QvcKv5RdZDZz7NgxFs5LBiA3N4fsc+cA0BsMJCZ1YMTIUbRt146QkHpe1egLfPjBKrb8/DNjxr3EwAcfrrHh1l/xS9kej4dvv1nP/rQ0SkrsiKJY9lp0TAyvTfwX7donVKpswePh9OnTHD1ymNDQUIYNf6FCHbmrQc1HUANERUcz/IVR3H7HnWj/VuPUanWFO2CXwma3MXL4MNLTT/H8iBfQarW1QjT4qWwArU5LnzvuQPW3Jnr0iy8R36hxpco8fOgPRgwdglqtZsKkKXS5oWtVhFpl+GUzXmy1kn7qFCveX0bzFi2Ij2/Ent27AYiIiKjUilT6qVMsmPcuRmMer02cxA1du1G/fv2qDv2K8CvZsizjdrs5fvwY/359MpYiC2s+XYckiixaMB+DwUCrVq29KlOSJDxuN+PGjMRcaGbilNfpeUtvtFptNd1F5fEr2W6Xi7S035kxfTpKpZKlK1cRGxuLQqFk6ptvkZGeTmhYmFdllpSUsG3rFkwmE9dd15ZOnbug0Wiq6Q6uDL+RbbVaOXM6k0kTXiMiIoK3Zs6iRctrUCqVKBQKVCoV17Vt61Vnymw2c/zYn8yY/ibNmjdnytRpREZG1poO2d/xC9k2m439aftYMC+Z0NBQxk+cRPMWLS8aPysUigqPpyVJwm6zsX3rL6S8t5gmTZoyfcZ/aNykSaXG5FeLOi9blmXOZWUx481pmEwmNny/iajo6ApL+WvyrUKhAFnG43GzP20fyXNnExSkImX5SvR6fa2t0Reo3dFVEZt++B6Hw8HkN6ZSPzTUKylGYx4vjhrJtl+2UFxcTJHFwo+bNjFx/KskJCSx+qOP0ev1PpHNWqdrtqWoiC8+/4wN33xN9xtvpFOXLl7v9TIZTRw9cphZM48zYtQYvv16PadPn+aaVq0YOWYssbGxtb5GX6DOyna73Wzfvo0Z06dx59338MKoMTRu0sTrcn7Y+B2nTp1EFEXGjhyBVqvl2rZtmZM8j/CICJ8RDXW4Gc/NyWHZksWIosjI0WOIa9iwUuVIklQ2dy6KIl2uv4HFS5bRIDzcp0RDHZa9ZvUqHA4n02f8h0aNm3idNCCKIsf+PMrmnzZddP2PPw7y5eef4XCUVGW4V4U6J9vj8XDwwH6OHD5MeHg4jz7+BCEhIV6V4XK5yDeZWLVixT82CEqiyKYfNrJr586qDPuqUKe+s2VJorjYyuCnnyQiMpLk+Qu9bmoFQSA3N4eURYv4/rsN2O12NBoN6vOzYrf1uZ2Zs+eiVCqRZdkneuEXqFOyC81mNnz9NU6nk8eeeJJmzZt7XcbqlStYuuQ9BFFg1NhxhIaGolAo6Nq9OwoUpdmh55dAfUk01DHZ5sJCvvt2A63bXEvXbj0u2uX5/7BareSbTOxK3cnnn62jVZs2DB32PB06diLk/LZfX+uMXYo6JfvA/jT0ej3DXxhFVFRUue+XZZmCggI2/7iJTz9ei8Ph4IauXRk8ZBhNmzW7ChFfXeqUbFmWUanVPPL4E4RHRJT7fkEQGDF0MAcPHiQiIoJPP/+K6JiYWrM3q6qpU3cVFhZG1+49yp2n3vzTj+zbu5dftmxGFCXu7z+AQc8NIa5hwzorGuqYbJ1Oz7333X/JRY78/HzycnP59pv17N6VSm5uLjf37MVNN/eka/ceREZG1kDEFcNut7N4wTx639aH+PhG/5ggkiWZI4cPodJoaNOmzWXLqVOyg7VatDodCgV43G4EQaDEUYKjxMF/v/qCRfPno9aoSUzqwMrVH9GqtXdZKTVFQX4+Ke8tZtGC+dx1T19mzU1Gq9WiUqlQKBQUFxezYvky2iUk0bJly8u2Thdd/euRzb6GLENiUhJdu3VHpVKz5oNVbP1lCyaTkXxTPt169GDhkpTS1KPWbdDptEiSVNNhV4i/Otn2yxZeeH4o3bp35+FHHyMyMgqn04Hb5cZusyEKQvmyPW43e3bvZuXyZdhstuq/gyrmzJnT5OXmMGzwIAAyMtLJzckpe3136k7ycnNrKrwrwmq1lP1hlpSUkLrjN06eOM4PGzcyYdJkIiOjCAoKIjIqmuD/k/tWJls8P/uUm5tLYWFB9d+BN8ggI2MuLMThcAClExrBWm1pvpcsU1JSglur5cyZ0wAEBQWVnZx0gQuv+Rpul+ui2i1JErZiG7Ik88PGjXTt1h1REBAEDw6HA61We8kJnzLZwcHB3Hb7HdzcqxeyVHuackmWkSQJSRR5fshgdu9KLcsZi28Yz6Q3pnIgLY3VH6ykZ69beHvmrJoOucrJysqi3123I5w/i0Wt0dDjxhuZMGkyjZs0RaFQkJl+ki2bf6RN69Z07Nz5khsdymRf+AXWpqGHIAj8un0bs2a8jSSJKBRKBg8ZSkxsLL1v7YPBYECSJP48cgQFCtRqNQYvFz18Ab2h9KSGoKAgEhKT6Hfvfdw3YAD164eWSX3kiSd56NHH0en1l025qj1mzyNJEkVmM2fPZrF2zYcYjUbUahUtr7mO+/sPoG279kRFR5e932Q0YjTmlZ10WBcJMYTQPiGR+/oPIDEpiS7X3/CP90RGlj9jWGtki6KI0+EgKyuL1J2/MeOt6eh0Oib8azKPPv7EZT9nt9v58INVF23Oq2uER0Tw3w3fXXE5tUK2JEkUFOTz4qiRnM3KQqVWMfi5IfTqfSuJSR3+7+fqsuSqpkZly7JMTnY2Rw4fYlnKEg79cZCkDh2Z9PpUIiMjCY8IR62+/O6KwoICZr71Jm3aXOuzPe2rSY3IliSJkpIS8k0mli9LYeeOHQiCwFPPPEv/gQO59trryi1DlmW2b9tKfr6J/g8M5JOP116FyH2bGpFdYrezd89unhv0NCqVimHDR/Diy68CFVs3lmUZj9tN2r59mM1FDB46jG83fFPdYfs81SpbFEVcTicAe/fu4btvSoUcP36MYquVvvfeR+cu11928eJyCILA/v1pHPvzKA8+9PD5/VrVcgt1imqTbbPZyMnO5u3p00CWOXs2ixPHjwMQGhpK23btefnV8cTExnm1vVWWZVwuFzOmv4neoOeBBx/yufSgmqLaZBcXW1m7ZjWpO3fgdrku6jXHNWzI9BkzadrM+xwxp9NJ2u+/k5uTw/CRI2kYH1+VYddpqi2xKiqq9NySZwYN/scJBI88+jiNmzStVLl7du1i/CvjaH1tG27q2asqQvUbqk22QqFAGaSkfUICOl3pFJ5CUTqlGR4RUakN69nZ50hN3YHdbmfSlDeIi6vcLg9/pVqacVEUMRmNLF64gKNHDlE/NJSu3bvz67atRMfEeJ3iK3g8WKxW3k9J4dftW3ns8SeJjYursdN9fZUqly2fX26c+fZbfLP+K8LDw1m77gvCwsJY8f5SCgsLiYnx7rQ/m93O+0tT+OqLz+jWvQcTJ0+p6rD9giqVLYoiFksRUyZOICMjnSlTp5GYlESjxo0JCgpixKjRnM7MpEF4eIXLFAQBq8XCuk/WEhUdQ/+BD1ZlyH5FlckWBIGc7GyS587mxInjPPPsc9x59z0XJfJpNBoSEpO8KjMzI503Jk+iQYNwJk6eQoeOnaoqZL+jyjpoRUVmli55j22/bOHpQYO5u2+/CmdsyhcSFCSpLA9OEATycnNJnjuHzIwMxr3yKp27XE+D8w9UDeA9VVazXxk3ltOZmUyZOo3et/Xx6uA4QRBwn1+PvpBDZbVaeebJx1Eqlby7cBHtExJr9GD2usAVyy6x29m373eyz52jffsEet7SG4PB4NX0p9ViYebb0ynIz2f0i+NQqVQkz5mNXq9n6PPDad3m2svmVQWoOFck22YrJjs7m9kzZ6BWa3hq0LOVamYLCws59uefHDl8CIulCJ1Oz4kTx5mbPJ/2iYmEhoZeSZgBzlNp2ZIkcfDAAf79+mRcLheLU5bRtl37SpW15eefOHhgPwC/791LZGQUo8aMJbFDh1p3/qcvU6kOmsfjYe+ePbw7dw4oFCx8L4UWLVpWKgCnw4Hb7bnomsVSxNo1H2IuLCx7nEOAK8dr2aIoUlJi543JE1Eqlbzz7nzatmv/j3O7K8KFxyBt+Hr9RdclSSI7+xyvT5rI2awzXpcb4NJ41YxLkoTNZuOHjRspthbz0COPVerEfUmS8Hg8OEpKWL5sKWZzIVqtFrVGg0ajQRuspfP119Oi5TXk5+fTouU1Xv+MAP/EK9lOp5Off/qRt6ZNpWev3tzTr1+lfqjL5SIzI4M1q1fxy5af0ev1xMTEcuNNN/HUoGcJDQ0re2TylZzqH+BivJKdk53NJ2s/ovdtfXj51dcIC/Ou5y2KIkVFpeeefPn5Ojp26syIkaPp1r0HmmANISH1CAkJqbVHOPs6FZItCAIWi4XkubNxOp3c07cfUdHRFc4wETwezGYzRmMec2fPIic7m/CICIYMG05UdHRgsuQqUaEOmsNRwjfr/8ueXanExsVxx113V0i0LMt4PB6sVivz332HAff2Jf3USW7u2ZNZc96hUePGAdFXkQrVbIfDwYplS4mKjmHEqNEVLryoyMwnH33E9xu/xWg00qJFS5IXLKRhfCN0tfCxCnWdcmVbLRZ2p6ZisVqYMHkKLcvpGUuShNVi4eDBAxw5fIiP166hc5fr6f/AQHr26u3VsywDVC3lyjaZjKxc/j7t2rWnVatW1Dt/LtgFZFlGFEVEUcDpcGIttrJi2VL2p6WRk51Ntx49eG3iJGLj4qrtJgJUjHJlf79xIydPHKfvvfdf8mEpgiBgzMsjO/sc27dt5f2UJYSGhdGxYyfmvjuf+EaNAjW5llCubEmSUGs0PPDgQ4TWDy27lp9voqCggHUfr+XPo0cpLCwkOFjDoOeG0KFDR5I6dKRe/fqBDlgtolzZKpUKpUKJ2+XiwIEDAMiyxIJ572IrLsblchFSL4TY2FheenU8DRvG0yA8vFZt6g9QSrlGWrdpg06nY9hzg5DOH7+hVCqIjIqm96230TA+nsFDhtbqp94EKKVc2T1uvJHP13+NKFy8DzpIFYRKpUajUdeJQ1z9gXJl63R6dLpAfnZdIFAl/YiAbD8iINuPCMj2IwKy/YiAbD8iINuPqDOyo2NiiajAc0H8GYXsq6fJ/40LtxHYInR56sxqRUBy+dSZZjxA+QRk+xEB2X5EQLYfEZDtRwRk+xH/AyNPq8Dc0YJRAAAAAElFTkSuQmCC)
ii) ![](data:image/png;base64,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)
iii) ![](data:image/png;base64,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)
iv)![](data:image/png;base64,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)
Look at the graphs (i) to (iv) in figure carefully and choose, which of these can possibly represent one dimensional motion of particle
i) ![](data:image/png;base64,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)
ii) ![](data:image/png;base64,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)
iii) 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)
iv)![](data:image/png;base64,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)
physics-General
physics-
The speed–time graph of an object moving in a fixed direction is shown in figure. The object
![](data:image/png;base64,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)
The speed–time graph of an object moving in a fixed direction is shown in figure. The object
![](data:image/png;base64,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)
physics-General
physics-
Consider the graph shown in figure which of following is correct?
![](data:image/png;base64,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)
Consider the graph shown in figure which of following is correct?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIAAAABWCAYAAAAHWZ75AAAKiElEQVR4nO2deXRV1RWHv3vfmJeRhCQlzDIJlgYQkILIoNVKSBhdgiJSrWAVkQVal8py6LBcCkIQIcQAIYQAijIVW2UoaltErIpYBYvgAFggA2R6w51O/4BQWF0hIcmb77fWy1957+519+/su/c+554jCSEEJlGLHGwDTIKLKYAoxxRAlGMKIMqxBtsAk6vHMAwMw+DS/N1isSDLVz+eTQGEIUIINE27TABNcT6AZJaB0U2zcgBd1ykrK2NJ7iJ0XW8pm0wCSLMEYBgGsx56kN27dmIYRkvZZBJAmiUASZJ4dM5cLBZLS9ljEmCaXQZmZLRFlmUkSWoJe0wCjNkHiHIaLAMVxceJ48fRNJ3UtDQ8bjeKqtI2oy2SbI76cKdBAVRXVbGhpJgfjp9kyr3TOHL4MFVV1dwz7V4SEhICYaOJH2lQAAmJSWSPm8jevX/H4bDT67rrSG3dmvi4uEDYZ+JnGswBrFYrHTt1Ii29DR+89wE+n4/WaWlYbbZA2GfiZxoUgCRJxMXG0qNHD+KTEkhqlURsXBzm0z8yaNRcgCzLdLnmGlJTU4mLjTXr/gii0ZNBdrudlOTksKr3DcNA0zQkScJqtYaV7YGi0X0ASZLCquEjhGD/vr0sXbyQY0e/CbY5jULXdVRFQVUUlAsfXdfx53xdRE4HCyGoqXVT4/ZSXnaWH4+f4JouXbDZ7ME2rV5UVWXP7t2syM/D7XbjcDrwKSpTpk5mwoS7sNpsfhl8ESkAgOqaKmxOB527dKa07BQejyekBWCz2RgydCi6piF0nf6DBvHdf06Sv3ARI4bdSlqbNn65bkQKwDAMaquqcVqs/KxPXw589hmV5yqJj4tHauLCiUAgyzK6rvPlFwc5U1ZKraJwbc9eOGNi/HbNiBSA1+fj0Ndf8+XBAzhdsRw9coSeva4lPT0du8MRbPPqpS7E19RUwymJKo+X9ORkvKqHeJFoPgIai6L40FSFzp06Y7XZ0Lxejh09Su/efUJaAABOZwwjR97CgEGD+LG0lJd+9xwDB/cjJTmtycu+rkToxsMmUlFewar8fD7dv5/emX3Iys6hTUYbdu3YwYqCAnxeb7BNrBdVVfF43LjdbjweD16fF1VVcTicyH6aeIu4CBAbF8sdkyYhgNatU3E4HNyelc0Ng4fgdDix2UMvERRCoKoae3b/lWVLFlNbW0uMKwZN1xkx4ma6d/8pkuSfsRpxArDb7bRr3wE4/0yVJInklBSSWrW62MuA84mix+NBVZRgmnsRgeD6/tezJC8fp9OJzW5DQiLG5SImxuW3/kvECaDO6YZh4PP58Pl8lzm+Dl3X+cvb23n+mXnU12axyDIxMS4CNfEhhMDQdZ54ah6T7ro7INeMOAHAhdXKpaW89eYbrF+7lrj4eNLS0i5bwCIMgaqq9M7MrPd3unbtxtPPPBew7qeuaZSsLcZqDZxbIk4Abreb/fv2cezYN9htdoYOG0Zmn76MHT/hqiexAt3+VlUVu90e0Mm2iKoChBAUry5k3pO/JSbGxZ2T78JisSBJEhaL5ao/4TT30VQiJgKoqkL+smWsKynmoZmzGD9xIsIQF3OCuo/J5USMABbOf4lVKwpYsGgxt2eNxiLL+Hw+ApbBhSlhLwBFUVjw4gts27KZpctf48abbgpoEhXuhP2dWjj/JYqLilhesIKhw4abYf4qCVsBqKrK4kUvs/H19eQVrGDgoJ/7pVce6YSlALxeL0WFq1hXvIZnf/cHbho23HR+Ewk7AdTUVFNSvIYN60p4+pnnuO32UWbYbwZhJQDF52Pnu+/yxeefc9+vp5Mzdhw28/2EZhFWAtj01psIIViQ+8rF5o5J8wgLAQghWL70VTLatWN0dk5UdOgCRcgLQAhB7ssL6J2ZycibbzE7ei1MSApA1zUUn4IsyyxZnMuQoUMZMPAG0/l+ICRrJ1VVyVv6Klm3/YKBgwbRf8AA880ePxFSAtB1ndqaGtaXlLBu7RpmzZnL4CE3YrGEZKCKCELmzgoh8Ho8vPH6Bl7LW8YTT81jVNZos6/vZ0Li7hqGQXV1NX/auoXiokJ+M/MRxo2fYHb3AkDQBVD3Bu+mjW+wsuA1Zjz0MJPvnnJxIYeJfwm6ALweD4WrVrBubTEPP/Iod9w5yXR+AAmaAHRdR9d18pcvo6hwFc8+/3uyx4w1nR9ggiYAVVHIXfQy27duZf7CXIaPGGk6PwgEXAC6rqNpGvl5y+jZsxc5Y8bSrXsP0/lBIuAC0DSNvFeX0K59e0ZljcZyocFjOj84BEwA51/FcrNl0yYSk5LIHjM2JN/TizYCVmi73W62b9tG5blzTJ32Kxwh/pp2tODXCGAYBrqu88H771FRXk5FeTn3T59hNnhCCL95QgiBruts27KZJx6bw8mTJ7h/+gwcDof5vA8h/BIB6k61Ki5azdJXcpk5azaTp9xj9vVDkBb3SN2JVsWrC1m1soBH5zzGnZMm43A6W/pSJi1AiwqgbuSvXrmCwpUFPP7kU4zKyjaz/RCmxQRQ5/yS4iLWFBUye+7j3HrbL3GaIz+kaZEksC7h2/TmRhbOn8/MWbMZP/EOXK7Ylvh5Ez/SIhFAUXxs37aVJbmLmD33McaMG2+u1w8iQgiEEI3qsLZIBDh69CgvvvBH7p46lWn33W+G/SAjhKD0zBnOnj3b4P/WGwEMw2Dnu+9c8URQwzCoqKhA13UyMtqSnv4T3vnz2yFT52uaxo8nT2CxyLhc/ttpq6UwDIPDh77C5XI1q1MqhOD99/aQlJTEfQ9MJy0tvd7m2xUEoPPJPz9GuWQbtUu3LZckCSEEtbW1JCQk0LdfP744eLDJRvuLdu07IAR8vH9/sE1pFHV50/6PPmrCt//nn9jY879TUV5B69ap9Qqg3sOjDcNAVVV0TcMQBt9/9y17du+irKyclJRURufkkJKSQmlpKXNnz2LthtfNV7WCxQUPerxeTv7wAxlt2+KKi0OWZWRZvuLR8vVGAFmWcTgcaBYL3xw5wp5du3DFxZHZrgPff/stWzdv5p6pU7FardhsNpzOGLPTF0SEEFRUVHDwwAEyMjKIaeQO4w0mgbVuN3/b9yHnKqsYNWo0o7JGkz1uAoe+/BeffrYPwzBPDQ82Qgg0XefDTz5m9epVFBUVcvZsWaNOGmlQAIrXS1VpGZ27dif1wnbrHTt2oHu3Lhz59zEMPx5nYtJ4JCAlIZERw0eQkzOW+PikRn2vkWWguGzJlizLWG1WDEOYe3CFAOc3tLTQsX1HEhOTSExMxGpt3BK7BgVgczqITU7myOFDnDl9GkVRKCst5fSZMrp17xTypVW0IEnn/yiKQmVVJdoVyvdLaVAAsTEuBvcfgKapbN2yhQ/3/oPt27aSnJJKv77mxkyhhNVq5VzVOXbt2kF11blG5QD1loF1GIaBpqocOvQVu3fuoLKyko6duzJ23DhiY12cPnWKubNnsX7jW2YVEGQ0TUNTVSxWywVfNNwKbtBjsixjdzjI7NOXzD59/++C5ore0MFqtV71IGxW/JZlmVatWvHAjAfNR0GY0uAjwCSyMYdtlGMKIMoxBRDlmAKIckwBRDmmAKIcUwBRzn8B1G7fe5Tf3FEAAAAASUVORK5CYII=)
physics-General
physics-
How far a stone shall free fall in 1 second released from rest? ( g = 9.8m/s2)
How far a stone shall free fall in 1 second released from rest? ( g = 9.8m/s2)
physics-General
Maths-
In the figure rectangle ABCD, what is the probability that a randomly chosen point that in ABCD lies inside the triangle ABE is
![](data:image/png;base64,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)
In the figure rectangle ABCD, what is the probability that a randomly chosen point that in ABCD lies inside the triangle ABE is
![](data:image/png;base64,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)
Maths-General
Physics-
A liquid column of height 80 cm at 0°C balances the same liquid of height 80.4 cm at
is
A liquid column of height 80 cm at 0°C balances the same liquid of height 80.4 cm at
is
Physics-General
physics-
A glass rod is measured with a zinc scale, both being at
appear to be a metre long. If the scale is correct at
, what is the true length of the glass rod at
a of zinc
a of glass ![equals 0.0000085 divided by blank to the power of 0 end exponent C](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIgAAAARCAYAAAAG0+TZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAApJJREFUeNrtmMFnXFEUxp8xRkSEqFlURIiIqholusgiYqiIiIqhi9F/oKuoKlXRVZWIWUQXJSKii2wiqqKqmxgRWWRTXVWFquqiZlNVUc9T0u/yRZ/jvTf3zr2d3I738SNz33dmZO6Zc+65QZCrV7UAPpKF/OvIFdcUOACXSJNruXpc18GRhu8VmIm9ngZ7+dfX+9oAdzR8P0Eh9rrAtQvXIHgOjsk611zE+O7rB8/AKQjBWzAsPGcZtFMZfBYbn6ak94sy/GNgFbwHv8AX8AQMuU6QfXBLHJT2HcX47tsET0ERlMAKE6rdxulqGTzW9MoKUsyoIA/Aa7ah85gRcA9suUyO2/wFSa2BumWM776AVSMQZT1ylCAFVo+ypl+eQWaYBFIP2ba6ol0wm7Be5TObGN99AVvLgNjUr44SpM4KZTLFNNkiypxo5oVnAnxidTHSmQZJ+s7SKqXWWpYxvvsCVpolsUkNRwlyCCY7uAc54f+wlPC8wTbSNf3OeBZZxvjuU6pwLeIv9hv7ukyQiOeBN+C+qDo2o62pPoBxXxIktIzx3TcKtsHlWMWZZAmvJMQW+VwdOtVN5xUHo63pmSbsNLjTFtNKKcd9GS1GN8Z338uURKjyLJClWVYc29HWRKWLuBdRh7a5lC9g1zLGd1/YQfXU8ZiMtqY65d1N11RLGZm2MsZc3RjffWn9/CrPIlm6xlZkO9qaapN3IF1Vkyfj88ui5YTyKduUTozvvhqTpMqNLfBvtfF3RSuainnm6Kk5GG1NNcoJ51Hw98a0j9OP+tyb/+JDh/jmqmSqK9v1hFO6TBCdmP/Bpy7V3nFKCZlEiwmeEx5+1ebsgBsOR1tTqar3gucRtSc/2Drng1y5dPQHJMMfhCOJ1SoAAACVdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjxtbj4wLjAwMDAwODU8L21uPjxtbz4vPC9tbz48bXN1cD48bWk+JiN4QTA7PC9taT48bW4+MDwvbW4+PC9tc3VwPjxtaT5DPC9taT48L21hdGg+1KkvZgAAAABJRU5ErkJggg==)
A glass rod is measured with a zinc scale, both being at
appear to be a metre long. If the scale is correct at
, what is the true length of the glass rod at
a of zinc
a of glass ![equals 0.0000085 divided by blank to the power of 0 end exponent C](data:image/png;base64,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)
physics-General
Physics-
On a hypothetical scale X, the ice point is 40° and the steam point is 120°
For another scale Y the ice point and steam points are -30° and 130° respectively. If X-reads 50° The reading of Y is
On a hypothetical scale X, the ice point is 40° and the steam point is 120°
For another scale Y the ice point and steam points are -30° and 130° respectively. If X-reads 50° The reading of Y is
Physics-General
physics-
A piece of steel has a length of 30 cm at
. At
its length increases by 0.027 cm. Its coefficient of linear expansion is
A piece of steel has a length of 30 cm at
. At
its length increases by 0.027 cm. Its coefficient of linear expansion is
physics-General
Physics-
A metal tape gives correct measurement at
. It is used to measure a distance of 100 m at
. The error in the measurement, if
is
A metal tape gives correct measurement at
. It is used to measure a distance of 100 m at
. The error in the measurement, if
is
Physics-General
physics-
A steel rod of dimensions
is tightly fixed between two supports and is not allowed to expand. It is heated through
. Thermal stress developed is
![alpha equals 18 cross times 10 to the power of negative 6 end exponent divided by to the power of ring operator straight C](data:image/png;base64,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)
A steel rod of dimensions
is tightly fixed between two supports and is not allowed to expand. It is heated through
. Thermal stress developed is
![alpha equals 18 cross times 10 to the power of negative 6 end exponent divided by to the power of ring operator straight C](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIsAAAARCAYAAADt5F/aAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAwFJREFUeNrtWE9kHFEYH6tW1FoiIlZFLpVD1Ap7qKge9rKqqiLsISIqSkUO0WusnqrsIYeqKlUVUdVL9BilKiqiSkX0sIcQFTnECjnEqhEh/T5+0ed15s17b2b2bWN+/Oy8mXkz37zv974/63kZegk3iV+JPvEczJDhH4wRt4k3En5uk3gCNrNlvhxYJd62mDdO3FIIha+VwM1MMJcDR8QZ4j5xl1jXnPcG84LQgUguUEKE+W8xSnxC3FHcc5X4Ah/P+fwT8Zpjm4rEV8Tv4Guck3GuoIgzOJ6fkcfxXISdg8RfxFxCYhkhLhNbxFOI9ilxoFfE8o74KKKYe0t8RryChWzCQS5t+kK8L4zv4ZwtdiWnFxBlVGhA1J5mGtpSpCH+lh/EO4IdPOchNmdPQeUYXxrnoHxXNtUR6WQ8J05bvosjSb8wzsN5YcghqgxqFLgdsKkorvek90diAIWWj9+CVIDVHYmlI9nCC3UQseMaFtd0bVoj1gLOV3HNBmWscRER9CV2eRimEXGTAKfQBZMJeYSpuzjegMEXuWxbsaBRjCsW3sWLwngCudUzFIyJUFQ2HWONgtawHcNpM9jhbY2NyZ1NJSGx7JvWgJz7lqSWbA/H7y3buqQiSxlph8l/Wh1q2iOKw1QoKpvOFHO6kR5V7bINjG0+kEK9B8fUUPW7qg9GINaSsJsrEHJZUzCfLYRiKxa/C2ulapdTF0sFYU0GV8LfAkTUzTT0MUQUVaRKF2Jph6ShvphpSAdR7bINuFUe1r2Z8+OHgPOrCYc7G8f4MXZxWmloLaT4rMUocHUR1S7bYFmqCZWYwg6WQ90cIs51h2Jphbx/DLWLiwJ3CusjYyVG66wD3XbZFMN4bknn5iJuHkWvvYJ2irGegpJNHdNC2smBVdQs845aZw8p8LH394/CBmq8NJFkuxy0zqyBWSHFDmG8GVRIbqBFFtu2B8SfKYskqsapw65TpB52yqRjm/rhOLbnNzZXIWWxJNkuh3VZnEZP8M3HaC5ueRkymOAPlXfj2vrzs0cAAAD6dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDNCMTs8L21pPjxtbz49PC9tbz48bW4+MTg8L21uPjxtbz4mI3hENzs8L21vPjxtc3VwPjxtbj4xMDwvbW4+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+NjwvbW4+PC9tcm93PjwvbXN1cD48bXN1cD48bW8+LzwvbW8+PG1vPiYjeDIyMTg7PC9tbz48L21zdXA+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPkM8L21pPjwvbWF0aD4epIOCAAAAAElFTkSuQmCC)
physics-General
physics-
Coefficient of cubical expansion of a solid is
If the temperature is measured on Fahreheit scale, numerical value of coefficient of linear expansion of solid is
Coefficient of cubical expansion of a solid is
If the temperature is measured on Fahreheit scale, numerical value of coefficient of linear expansion of solid is
physics-General
physics-
A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface of water, the radius of the circle in centimeter is
![](data:image/png;base64,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)
A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface of water, the radius of the circle in centimeter is
![](data:image/png;base64,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)
physics-General
physics-
Consider the situation shown in figure. Water (mw = 4/3) is filled in a beaker upto a height of 10 cm. A plane mirror is fixed at a height of 5 cm from the surface of water. Distance of image from the mirror after reflection from the mirror after reflection from it of an object O at the bottom of the beaker is
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)
Consider the situation shown in figure. Water (mw = 4/3) is filled in a beaker upto a height of 10 cm. A plane mirror is fixed at a height of 5 cm from the surface of water. Distance of image from the mirror after reflection from the mirror after reflection from it of an object O at the bottom of the beaker is
![](data:image/png;base64,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)
physics-General