Physics-
General
Easy
Question
Water flows through a frictionless duct with a cross-section varying as shown in fig. Pressure p at points along the axis is represented by
![](data:image/png;base64,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)
The correct answer is: ![](data:image/png;base64,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)
When cross-section of duct is decreased, the velocity of water increased and in accordance with Bernoulli’s theorem, the pressure P decreased at that place
Related Questions to study
physics-
The diagram shows a cup of tea seen from above. The tea has been stirred and is now rotating without turbulence. A graph showing the speed v with which the liquid is crossing points at a distance X from O along a radius XO would look like
![](data:image/png;base64,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)
The diagram shows a cup of tea seen from above. The tea has been stirred and is now rotating without turbulence. A graph showing the speed v with which the liquid is crossing points at a distance X from O along a radius XO would look like
![](data:image/png;base64,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)
physics-General
maths-
maths-General
Maths-
Maths-General
physics-
A small spherical solid ball is dropped from a great height in a viscous liquid. Its journey in the liquid is best described in the diagram given below by the
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMwAAACcCAYAAAAzrEQFAAASrklEQVR4nO3df0wT5x8H8Hc3A2RafnYDUVmxncNpCtPWOaw/cMOSxajLdIgh0bkE1y5x8w9HMk3cEp2xy5LNPyQsZl+yqOA0kX9mABMgUnHS22hJ2MC1J1GourUg1JnVRfn+Qe5GaYE7oHft+LwSIr0C95jw5nmee34phoeHh0EIEeQZuQtASCyhwBAiAgWGEBEoMISIQIEhRAQKDCEiUGAIEYECQ4gIFBhCRKDAECICBYYQESQJTE9PjxS3ISTiJAnMe++9R6Eh/wkRD0xtbS2am5tx4MCBSN+KkIhTRHp6f0FBAZqbmwEAt27dglqtjuTtCImoiNYwXO3CoVqGxLqIBuabb77BkSNHkJeXh0uXLqG5uZn6MiSmRSwwtbW1WL9+PT777DMAgFqtRnt7Oz7//PNI3ZKQiItYYJKTk/mwcNRqNY4cOYIHDx5E6raERNScSP3gDRs2hL1OnX4Sy2iknxARKDCEiECBIUQECgwhIlBgCBGBAkOICBQYQkSgwBAiAgWGEBEoMCSmKBQKaLVa2e5PgSExw2q1QqPRwO12g2VZWcpAgSExgWVZlJeXo6qqCgDg8XhkKUfEJl/+Vw0NDcFut+PmzZtyF+U/yWw2h71usVhgNpthNBqh0WjQ2toKo9EocekoMKLY7XYwDCN3MWYdm82G+vp6cKvpN23aJNtCRAqMAN3d3bDb7fD7/QCAJUuWQK/XIykpSeaSzQ579uzBiRMn+NdqtRqNjY2ylIUCMwGPxwO73c63l+fPnw+9Xo+FCxfKXLLZw2q1wu12o7y8HOXl5XIXhwITjt/vh91uR3d3NwBg3rx50Ov1WLp0qcwlm33Ky8vR0tIS1F9hWRYajQYsy2Lx4sWSlocCMwbDMGAYhm8vr1y5Enq9Hs88Qw8UpWaxWGAymUI691xI2traKDBy6e7uBsMwGBoaAgC89NJLMBgM1E+R0alTp8Z9L8Lb6Y1r1gfG4/GAYRj09fUBADIyMmAwGKifQsISHBibzYbW1taga1lZWVi6dClyc3NnvGCR5vf7wTAMurq6AABz586FwWCgfgqZ0ISBsdlsOHfuHGpqajAwMACTyRT0vsvlgtvthkajQVlZGd5//32kpaVFtMAz4eeffwbDMHj69CkAYMWKFdDr9Xj22WdlLhmJduMGxmazYc+ePSgrK0NTU9O4tYjP58OVK1dQW1uLxsZG1NXVRayw03Xz5k0wDIPBwUEAgFarhcFgQHJysswlI7Ei4puRA8Crr76K//3vf8jLy4v0rcK6e/cuGIZBb28vACA9PR0GgwGLFi2SpTxkahQKRdBrk8kk+R9oQX0YlmXR1taGwsLCmGhycR4+fAiGYfDbb78BAJ577jkYDAa88sorMpeMiGWz2QD8+3SMG4ux2WySzikTFBi/34/Dhw+jpKQEZrMZmzdvxltvvRXpsk3LL7/8AoZh8OTJEwAj/ZSVK1dizpxZ/2AwJvX29gb1oaUef+EI+u3Jzc2Fy+WC0+nEDz/8gP3796O0tBRmsxnvvvtuVD0l+/3338EwDL9/s1arhV6vR0pKyoTf9+TJEzx48ACDg4Pw+/14/PgxAoFAyL/c548fP5bivzPrfPDBByFNLwC4evUqNm7cyL8eb1Az0qbch6mpqYHFYsGqVasmbUdK0Ye5d+8eGIbBnTt3AIz0U/R6PbKysoK+zu/3Y2BgAIODgxgcHORDwg1YEnmNFxitVgu32x10TY7BS1HtE+6J2FdffQWGYaDX67F///5IlU2Qv/76CwzD4NdffwUw0k/R6/VYtmwZgJEy37t3j/8YLxgKhQJJSUlITk5GYmIi4uPjERcXF/JvQkIC4uLiEBcXJ9n/kQButxtut5tvilmtVmi1WrhcLknLIbjT/+mnn+L8+fPQaDQoLi7G+fPnBbcjHzx4EJFHt+3t7bDb7Xw/JS8vD1lZWbh37x5+/PFH3L9/H4FAIOh7EhISkJaWhuTkZCQlJfEhSUpKCvuXjciP6/CP/n3LysoKqXGkILjTn5qaCofDERX9FZfLBbvdzvdTMjMzMXfuXLjdbjgcjqCvTUpKQnp6OjIyMpCRkRFTT/nIiNbW1pBB85KSkqA1MlIR3OmfaCKcVO7fvw+73c73UxISEvDkyZOg9d2JiYmIi4vDihUrkJ6ejnnz5slVXDJDenp6UF9fH9QCOHHiBD755BPJyzJup1/s2IvNZkNnZyf27dsX8l52djaampqmfJjSo0ePwDAMOjs7RwqtUAR1+NLS0vDiiy9CrVYjPT19SvcgRIgJa5ja2lqUlJTAZDJh48aNWL58ORITE/n3Ozs74XQ60dDQgP7+fhw/fnzGC+hwOHDjxg1+3hcw8nQkIyMDarUaarV60kfGhMyUSR8rsyyLK1euoKmpCQ0NDRgYGODf0+v1MBgMkw5kTqWG6ezsRFtbG/7++2/+2pw5c5CTk4MlS5ZQTUJkIclcMjGBcbvdaG1txcOHD/lrKSkpyM3NxZIlS2hGMZFV1MwT6e3tRUtLS9AJy88//zzWrVuHF154QcaSEfIv2QPj9/vR0NCAP/74g7+WlpaG9evXU7OLRB3ZAvP06VNcuXIlaI/cxMRErFmzho4mJ1FLlsD89NNP6Ojo4EfoExISYDAYsHz5cjmKQ4hgkq6H6evrQ2NjI9+hVygUWLZsGdauXTvln0mIlCRbD2O32+H1evnXixYtwptvvomEhARxJSZERoJ2p+PWwzgcDqSkpGD//v1ITU3FoUOH4HQ6J/3+7du382FJTEzEtm3bsHnzZgoLiTnTWg9TUlICAPwM5vEWkxUWFmL79u2YP38+tmzZMr0SEyIjUYHhRv1Pnz4NhmFQXFyMbdu2AQB/0E24xWS7d+/G6tWrAYzUMFu2bIFSqZyJ8hMiKUGBGbse5uDBgygsLBS8HiY7Oxtffvkl/vzzT/7aokWLsHnz5qmXnBAZSLYeRq/XIy4uDnV1dQgEArhz5w4qKirw+uuvy7b9EiFiCer0K5VKrFu3LiQsTqcTly9fFnyzzMxM7N27F7m5ufxu+NevX8d3330XsvCLkGgkKDAej4fvo4zm9/tx8uRJ0TfNz8/Hvn37+OOjA4EArl+/jrNnz+Lu3buifx4hUpmwScayLC5evIienh64XC5YrVb+vcHBQZw/fx6bNm2a8s0LCwuxevVqfi7Z0NAQamtroVKpUFRURA8GSNSZ8tSYpKQkHDx4ENu3b59WAZRKJd555x14PB40NzdjcHAQXq8XZ86cwfz58/HGG29QcEjUEPSUjNvA79ixY1O6iZj1MC6XC9euXcOjR4/4a6mpqcjNzUVOTs6U7k/ITJkwMFyH/rXXXuP3Jx5LqVRO+uRsKisuHQ4HGIbBP//8E3Rdp9NBp9NRrUNkMWGT7PvvvwcALFiwYNwJksXFxaipqZnxguXl5SEvLw8dHR24du0af72jowMdHR3IzMxEZmYmcnJyKDxEMlG3RDmcQCCA1tZW/rSwsbjwZGdnQ6VSTaeohExIcGCsViuysrKwc+dOACNbsH744Yf44osvJh3xn25gOF6vF01NTfxEzvj4+JCdLZVKJbKzs/kQxcfHT+uehIwmeGrMpk2bcOPGjaD1MJWVlXA6nZNu8jdTgeF0dXWBYRj4/X4AI03GxMREsCwbNkALFixAWloaMjMzqQaKcRaLBRUVFfxrqTf0E/RY2ePxQKvVhiweW7ZsGS5duhSRgk0kJycHOTk5fP+mr68PfX190Ol0yMzMhNfrhcfjgcfjgd/vD2nKZWdnQ6lUQqlUIi0tDYmJidQPigHcQPfYQ5WiLjBLly5FW1sbKisr+Z0tfT4fjh49ipUrV0a0gBPR6XR4+eWX+f5NR0cHuru7kZ+fj61btwIYWeXp8/n4AAUCAdy6dSvsz1MqlVCpVPwfBi5E3L/cJoYULulZLBYACNqtf/HixZIfeSG4D8OdBzN2I7+6urpJly3PdJMsnLH9G5VKhYKCgpAmmN/vh9frhdfrxcOHDzE0NAS/388374i8zGZzyDWuJqmurub70HIR9ZTM5/Px4zFCxl84UgSGM7Z/k5OTA71eL6hW6Ovrw+PHj/nQcXsPcGfKjD6ZjERGuMBwixVHnw8jF1FTY0bXJAsXLpzxwsyEsf2brq4udHV1QafTYc2aNRN+74IFCwCMBJxEj9u3bwOQ71zL0QTNVgZGRv1TU1Oxdu1arF27FiqVCocOHYpk2aZFp9Nh7969/HSajo4OfPfdd+OO5RAihODAlJaW4vjx4/B6vRgeHkZLSwsaGhoEjfJH6gSyycTHx6OgoAA7duyASqVCIBBAU1MTLly4ELSDDYlu3ARfruMPjByvUlRUJHlZBPVhbDYbDhw4ALvdHnT98uXLOHny5KSHwqakpODWrVuyhGa06fRviLxsNlvQ9CyNRiP5+ZZAFOytLKXp9G+IvIxGoyynJo8lqElmNBrhdrtRWVnJX2NZFkeOHAk6Oz1WUP+GTJXgx8o2mw1btmwJGocxmUw4e/bspOMw0dIkC0fo+A0hgETjMNEcGA63bID6N2Qi4wZmdDgmIiQ4sRAYztj1N9S/IaONGxin0ylovzAhC8hiKTDAyIg+wzB8nyY+Ph75+fm0RJpIs4As1gLDof5N9FAoFCHX5JgqI3jg0ufzobKyEkVFRfx2SyzLRmR5crRQqVTYsWMH1qxZA6VSCa/XiwsXLqCpqYkma0rIZrMBGJnWz32YzWZoNJqgE+ykILiGMRgMSEtLw+LFi8GyLOrq6mCz2XD06NGYGbicrrH9GzLzxpt8WVVVFfJ7ptVqUVZWJul6GEE1jNPpxMDAAOrq6rBr165Ilylq6XQ6lJaWUl9GYlevXg073sctKJOS4M3IwxWOm/Y+myiVShQUFKCgoEDuoswaDQ0NOHr0aMh1l8sl+cC54JF+bsUlx+fz4eTJkzE50k9ii9vtxqpVq4KusSwLt9s97Z1XRRsWqKWlZTglJWUYAP9hMpmGvV7vpN+bnJw8PDAwIPRWhPBaWlqGw/2amkymYZPJJHl5BE++NBqN6O/v559YiBnpJ2SqWltbYTKZgq5ptVq43W5ZJmNO2CTz+Xwhj+2MRiOMRiOFhUiip6cH9fX1UCgU/EdZWZlsM5cnfKzMrUHgzrKc6gYE/5XHyoRMWMMYjUY4HA5oNBocPnwYqampsFgsgo4aJ+S/aNKnZLm5uTh27BhcLhfOnDkDACgoKIBWq0VlZaXkI62EyGnKc8kuX76M0tJSrFq1ataM9BMieomy0+lEZWUlP4eMxmHIbCJo4JJlWVitVmi1WuTl5aG/vx+nTp1Cf3+/pPN4CJHbpIfCFhcXg2EYaDQaHDx4EIWFhVGxoRohcpgwMH6/HwaDAadPn6ZxF0JAC8gIEUXwAjJCCAWGEFEoMISIQIEhRAQKDJk1mpubceDAgWn9DAoMmTU2bNiArVu3QqFQTDk4FBgyq2zYsAFNTU34+uuvpxQcScZhwm3CRki0SE5ORnt7u6AzWCU5H0au1XGEhONwOPhdfz766CN8/PHHggfVJalhCIkWDocDb7/9Nnbv3i0qKJxZdQIZmd16enrQ3NyM9vb2KU/TohqGEBHoKRkhIlBgCBGBAkOICBQYQkSgwBAiAgWGxAytVsvv7R1OTU0NioqKIloGCgwZl81mC9rTePSHVqtFTU0NFAqFJJs51tTUQKvVwmg0Bl1XKBR8iHbu3In6+vqIlocCQ8ZlNBr5MyWrq6uh0Wj41y6XCzt37sTw8LAkuwhVVVWF7IHHBWN0iMxmMy5evBixclBgyJRxNRD3uVarhdVq5Wshq9UKlmX512ObS1wNxX1M1Nyqr69Hfn4+/9pqtUKj0QBA0M9et24dvv3225n+r/5L2uNoSKyqrq4e1mg0QddGH3bEfW42m4Nej/4VAzBcXV0d9L7b7Q75WWON957ZbObvN9nXzhSqYciMOnXqFIB/m0ktLS38e2azGbdv3wYAnDt3DmazmW/OGY1GaDSasMfY9/b2hr0Xy7IhU/IzMzP59yKBAkMk1dPTw39eUVER1CRzu93jfh/X/BptbDNtNI/HM/3ChkGBIbIxm838QwTuY7xDu8aGKVyHfzSupplpFBgii127dqGiokJQ02nhwoUh19ra2sJ+LVezROrJHQWGyMJoNPKPqkc3y8IFiKtFRj9F42oi7mkcp7e3N2zzbabQehgSE4qKirBx48ZJj1exWCwA/n34MNOohiExYc+ePWhsbJz06yoqKrBr166IlYNqGBIzFAoFWlpaxu3o19TUoKqqatIjJKdVBgoMIcJRk4wQESgwhIhAgSFEBAoMISJQYAgRgQJDiAgUGEJEoMAQIgIFhhARKDCEiECBIUQECgwhIlBgCBGBAkOICBQYQkT4P8Ha4K9eCHlYAAAAAElFTkSuQmCC)
A small spherical solid ball is dropped from a great height in a viscous liquid. Its journey in the liquid is best described in the diagram given below by the
![](data:image/png;base64,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)
physics-General
physics-
Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the right-hand vessel (s = relative density of mercury and
= density of water) by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWYAAACkCAYAAACkcYQdAAALqUlEQVR4nO3d72tb5f/H8df54h/QO95wtjZrpnf0Rudkw1JLOsYyBh0dlukUJAPpSGA3nb9WZrRT2oFWhhVFWHanq8OxMoeuE9vYjYBl4hS9Z2a2VvCeuaN3z+fGvjnktGma33mneT6g5JzrnJxzslx97eo7VxLHdV1XAAAz/q/ZFwAA8COYAcAYghkAjCGYAcAYghkAjCGYAcAYghkAjCGYAcAYghkAjCGYAcAYghkAjCGYAcAYghkAjCGYAcAYghkAjCGYAcAYghkAjCGYAcCYhgez4zgteWzAEvq6HfV4LhgxA4AxBDMAGEMwA4AxBDMAGEMwA4AxBDMAGEMwA4AxTQnmeDwux3G8n2QyqUQi4WtLJBJKJpO+tng8rkwm42s7duyYJGlwcLAZDwUAas5xXdet9iCZTEaBQKC0EzqOanDKhh8bsIS+bkc9nouqR8zZbJbRKgDUUNXBPDU1pUwmo3feeaes+9WynBGPx6t9GABgRlWljGw2q+3btyubzaqjo0P//PPP5ieklAFUjb5uh7lSxtTUlLeczWbLHjUDANarOJiz2awuXLig8+fPS5IWFxf18ccfl3RfZmUAwMYqLmVMTU0pEAhoeHjYG8onk0klk8miI2dKGUD16Ot21OO5eKjSO/b29ioUCvnaQqGQOjo6qr4oAGhnFZcy1oZyTm9vb0n3r0c5AwC2gpq8waScoTylDKB69HU7zM3KAADUHp+VAQDGUMoAWhB93Q5KGQDQBghmADCmacHMdDkAKIwaM9CC6Ot2UGOug8nJSe3YscPXdvfuXTmOo9nZ2U33LSQWiykWi9X0OgG0j7afLjcyMqJ0Oq27d+96bcvLy5KkRCLh23dhYUGjo6MVPmoAKJFbA+UcpkanrOmxg8Gge/HiRW89Go260Wh03fEkuTdv3nRd13XT6bQryfvJ3T8cDvvao9Go7/6F2vOvIbcdKIY+Ykc9nguC2X0QxOFw2FsPBoNe8OaC+ObNm24wGCx4rlyg5h+vUPBOTEz41vP/MwgGg/yyoWT0FTvq8VwwK0PSSy+9pPn5eUnSrVu3JEk9PT2KRqOamZmRJM3MzGj//v3efdy8Yv/u3bslyVcOyXfr1i2l02mdPHnSaxsdHV1XKrl48WJVjwPA1lDxx35W6/Tp0zp9+vS69kgksq7NLfCKZ6G2SvX390t6EKCpVMoL4IGBAZ06dUqSdOPGDV+Qzs7O6ujRo2Wdx3Ec33o4HK7msgFsUW0/KyMnGo0qlUppYWFBAwMDkh6MhNPptDfizQ/wo0ePKp1Oy3VdpdPpks7hPigdeT/Xr1+v2+MB0LraflZGzsDAgD7//HPNz897pYmenh6Fw2FFIpGCo9uenh5J0ldffeVrDwQCvrJGf3+/gsGgJicnq7pGAG2iFoXqcg5To1PW5diSfC8Cuq7rTkxM+GZd5ORmbej/Z1hIctPptOu6/hkb+S/4KW9Wxtpta18MBIqp5+8RylOP54J3/gEtiL5uR8Pf+ReLxer257elWRkAYEnREfOOHTs0Pj6uF198sfhBGDEDDUVft6Mez0XRYHYcR+l02nuRqxYXRjAD1aOv29HQUkbujRbLy8teyaBWZQ2LszIAwIoNR8y5N1BEo1FNT09rdnZWp06d0h9//LH+IIyYgYair9vR0BHz0tKSwuGwpqena3pCAEBxGwbzjRs3fG+PXlpa8n1WRLWYlQEAhW1Yylj7wt+BAwe0d+9e3wfx5O9LKQNoHPq6HQ0rZeR/wlrO/Py8+vr6anpyAMB6BYM5lUr5Phsi97kP27Ztq8lJmZUBABvjLdlAC6Kv28GXsQJAGyCYAcAYvloKAIyhxgy0IPq6HdSYAaAN8NVSAGAMpQygBdHX7aCUAQBtgFkZAGAMpQygBdHX7aCUAQBtgFkZAGAMpQygBdHX7aCUAQBtgFkZAGAMpQygBdHX7aCUAQBtgFkZAGAMpQygBdHX7aCUAQBtgFkZAGBMzUsZ2WxWHR0dJe1ba/x5h3ZBX7fDVCljampqXVs2m9Xc3FxVFwQA7a7iYA6FQr6ZENlsVseOHVMgENj0vszKAICNVVXKOHz4sLLZrJLJpIaHhyVJV65cKX5CShlA1ejrdtTjuagqmO/cuaOdO3d664uLiwqFQsVPSDADVaOv22GqxixJvb293kh5eHh401DOx6wMACis6lkZuVFzKaNliREzUAv0dTvMlTJyEomEIpFIaSckmIGq0dftMFfKyCk1lHOYlQEAG6vJiLmsEzJiBqpGX7fD7IgZAFA7BDMAGPNQM076ww8/6MKFCzp//rzXdu7cOf399986c+aM1zY2NqZt27YpGo16baOjoxoaGtLQ0JDXdujQIcXj8cZcPGDEf//95y3n/ym92XK5baVsq+a2FtsasbxRWz00pca89kW9XPtGbaUu79y5k7ob2oLjOPr333+9dYK5ecEcCoWoMQPAVkcwA4AxBDMAGEMwA4AxBDMAGEMwA4AxBDMAGEMwA4AxBDMAGEMwA4AxBDMAGEMwA4AxBDMAGEMwA4AxBDMAGEMwA4AxBDMAGEMwA4AxBDOAoo4cOaKHH35Y586dK7j9jTfe0COPPKJPPvmkwVe2dRHMADY1ODiod999d137vXv3lEgkFAqFtLKy0oQr25oIZgCbeu655xQIBHTlyhVf+7Vr1xSJRNTd3b3uPo8++qg6OzvV2dmpt956y7dtYGBAV69eVSAQ0Pbt2732np4eBYNBBYNBXbt2TZL0+OOP66effvL2+eKLL/Tqq6966+FwWN98842efPJJPfXUUxofH9f4+LjvfLFYTIlEovJ/gAYjmAGU5JVXXtHs7Kyv7b333tPhw4fX7dvX16e3335bq6urWl1d1dLSkq5everb58SJE8pkMvrzzz8lSaFQSK+//rrS6bTS6bQ+/PDDkq/ttdde0++//67ffvtNBw8e1JdffultW11dVSqV0r59+8p5uE1FMAMoyYkTJ7S4uKgff/xRkjQ3N6fBwUHt2bPHt9/y8rLu3bunWCzmtb388su6dOmSb7/8mvXt27d1//59HT9+3GtbWFgo+drOnj3rLT/99NPq6urS9evXJUnfffed+vr61NnZWfLxmo1gBlCySCSiy5cvS5I++OADvfDCCxvum1/KeP/99zc99mOPPVaz6xwZGdHc3Jwk6fLlyzp06FDNjt0IDzX7AmrNcZxmXwKwZT3//PMaGhrSs88+q0wmo+Hh4Q33/euvv+S6riStuy3k/v37BdsrCez9+/fro48+0s8//6yVlRUdOHCg6Lmt2VLBfOfOHS+YHccpe3ntbaXbqrktd9tmbZUsl7Ot0Ho5baVsq2S/cpX6S1tsv0LbSmkrtl7OtkbYs2ePAoGAjh8/rrGxsYL77N69W93d3ZqenlY0Gi3puM8884wk6bPPPtPo6Kgkae/evfr+++/V3d2tr7/+Wrt27dLKyorOnj2r/v7+osfr7OxUV1eXxsbGdOTIkTIeoQ2UMgCU5c0335QkDQ0NbbhPKpXSmTNnvFJGV1eXPv3006LHTSaTmpiY8GZlTE5OSpLi8bhmZmb0xBNPaN++fSW/KDgyMqKVlRUdPHiwxEdmh+M2+L9dx3GUTCa9UefaUWglI91aLa+9ZcS8+bZC6+W0lbKtkv3K1eoj5nKWy20rZVs1t7XYVmj522+/1cmTJ/XLL7+UtP9myxu1hUKhmv/1wogZwJZ0+/btlixjSAQzgC3q0qVL2rVrV7MvoyJb6sU/AMj59ddfW2omRj5GzABgDMEMAMYQzABgDMEMAMYQzABgDMEMAMYQzABgDMEMAMYQzABgDMEMAMYQzABgDMEMAMYQzABgDMEMAMY05RtMWvWj+ABgrXpkWlM+j5lvsgaAjTU8mBktA0Bx1JgBwBiCGQCMIZgBwBiCGQCMIZgBwBiCGQCMIZgBwBiCGQCMIZgBwBiCGQCMIZgBwBiCGQCMIZgBwBiCGQCMIZgBwJj/Ad9EiEG62cEEAAAAAElFTkSuQmCC)
Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the right-hand vessel (s = relative density of mercury and
= density of water) by
![](data:image/png;base64,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)
physics-General
physics-
There are two identical small holes of area of cross-section a on the opposite sides of a tank containing a liquid of density
. The difference in height between the holes is h. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium is
![](data:image/png;base64,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)
There are two identical small holes of area of cross-section a on the opposite sides of a tank containing a liquid of density
. The difference in height between the holes is h. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium is
![](data:image/png;base64,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)
physics-General
physics-
A cylinder containing water up to a height of 25 cm has a hole of cross-section
in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMEAAACFCAYAAADii5zmAAAUlElEQVR4nO2dfUxTZxvGryIyqahFpxImvkUwzOm2Wtx0uAiYMdFuoyMxw82NskX8XMTNaeYSgWVLZMtGs8w4NcrHXNqFZKjDRGWzKKgjHcgUM83EEhqiU6FnOsAqer9/+LYvhRback5PS59fcqI8Ped+LvRcvZ9zni8JEREYjCAmRGwBDIbYMBMwgh5mAkbQw0zACHqYCRhBDzMBI+hhJmAEPcwEjKCHmYAR9DATMIIeZgJG0MNMwAh6mAkYQQ8zASPoCfX0AqPRiN9//10ILQyGU5RKJR5//HHExcUJEt/jTHD58mUhdDAYLnn48CGuX78uWHyPM8GdO3eE0MFguOTevXuCxvc4E4wbN04IHQyGS0JDQxEa6vH3tdt4bIKEhAQhdDAYLhk9ejSioqKEq4C8JD8/nwCww80jPDyc3nnnHdF1BOKh0+m8vU3dQkIkzER7iUQCgUIHJKdPn8b58+cRGxuL9PR0seWITkFBAQoKCsSWAQBgJvAB58+fx+nTp+0/p6am4sknnxRRkfj40/3BOssE5tatWwP6VQwGA27duiWSIkZ/mAkExGq1wmAwwGq1Dvjs8OHDTssZvodXE3Ach23btmHWrFmYOXMmPv74Y3Acx2cVAcVg3/hWqxVHjx71sSJx6Xt/TJw40W/uD16fCVQqFTiOg1arBQBs3LgRMpkMO3bswDPPPMNXNQFB/+cAV8ybNw/PPfecDxSJj7P7IzIyEkeOHBFVF68mkEgkuHTpEj777DPcvXsXzc3NuHTpEmbNmoXq6mo88cQTfFXl17S3t+PYsWNuN3fS09MRGxsrsCrxkUgk6OnpwZgxY7Bz507cvXsXmzdvxuLFixEXF4c9e/aIo4tPE8yYMQMmkwnR0dFISkrCX3/9hSeeeEJ0p/uSO3fuoKKiwqP2/mOPPYbly5eP+N54lUqF+vp6WCwWhIWFYcKECZg0aRK0Wi3S0tJE08XbM0F9fT1MJhNmzpyJ8ePHo7m5GcuWLcMPP/zAVxV+j9VqxYkTJzx+4LVarTh06JBAqvwHq9WKzs5OREVFQS6X491338Xp06dFNQDAYybYsGEDDh06BLPZzEe4gMTWIeYtI70jLSQkBOXl5Vi5cqXYUhzgbVRSQkICOjo6+AoXkCxcuBALFy4UW4ZfcuPGDRARFi9eLLaUAfDWHHr//fcxffp0TJo0CYsXL4bRaBR8CCwjcJgyZQpiY2ORlJSEhoYGseU4wPuwidWrV6OiogL//PMPRo0aBQCQSqVITU1FZWUln1UxAhClUolz584hIiICy5Ytg1QqxdixYyGVSvHFF1+IokmwsUPAo0FS27ZtQ3d3N2QymVDVMAIMs9mMI0eO4Ndff8WyZcvQ3d2Nrq4ubNmyRRQ9gprAnwZJMfwPf7k/BJmuw3EcWltbhQjNYPDOsE3AcRyamppQWFjocPPL5XIAj177KRQKyOVybNy40V7OCG5sY4Y4jhO9qey1CWxjQA4dOgSZTIaMjAykpKRALpfbfymJRAKDwYCmpia0trZi7ty5SElJQUZGBjQaDW+/BCPw0Ov1mDp1KvR6PdasWSOuGG+mo1VWVpJcLie1Wk3nzp1zed6lS5cGlBUXF5NcLieFQkEmk8mb6hkjgOTkZPrkk08oOTlZbCnkkQksFgvl5eWRQqEY9OZ3h/z8fJLJZFRZWTmsOIzA4+LFixQdHU1ERNHR0XTx4kVR9bjdWdbU1ITU1FRwHAeDwQCFQjGsDFRQUACDwYBNmzZh06ZNw4rFCCz0ej2ysrIAAFlZWdDr9eIKcscpJpOJFAoFFRcXC+LElJQUysvLEyQ2w/+Ij48no9FIRERGo5Hi4+NF1TOkCSwWC8nlciopKRFMhMViIYVCQfn5+YLVwfAPqqurad68eQ5l8+bNo+rqapEUDdEc4jgOqampUKvVgr7NkclkMBgMOHToEEpLSwWrhyE+Op0OK1ascChbsWIFdDqdSIrgujlksVhIrVb7tJliyzrsYXlkYrVaSSqVUnt7u0N5e3s7SaVSslqtouhymQls38jFxcU+M6RMJkNJSQlycnL8YgI2g1/0ej3S0tIQHR3tUB4dHY20tDTxHpCdOePcuXMkl8uH/RrUW/Ly8kitVotSN0M4li5d6nJJRZ1OR+np6T5W9IgBJrBYLJSSkiLYmyB3USgUrFk0gjCZTCSTyQY9RyaTidKBOqA5VFpaCplMhry8PDESk53Kykrk5OSwgXgjBGcPxP0R7QG5ryNMJpOozaD+aDQa0mg0Ystg8MDTTz9NJ0+eHPSckydP0jPPPOMjRf/HIROUlpYiOzt72L3BfFFcXIyDBw+ybBDgnDlzBg8ePMCiRYsGPW/RokXo7e3FmTNnfKTsEXYTtLa2oqyszK9Gd8pkMmg0GhQWFoothTEM3GkK2VixYoXP3xLZZ5bZ1or3lzXjbXAch8jISJhMJjYXIUB5/PHHUV9f79buky0tLViwYAFu3rzpA2WPCAEe3Wj+lgVs2B7SWTYITCoqKqBUKt3efjUuLg5z585FRUWFwMr+TwgAaLVaZGdn++03bX5+Pg4ePCi2DIYX6HQ6+4hRd/H1yFIJEVFsbCwqKyv95oHYGTk5OUhOTvbLbMVwzo0bNxATEwOO4xAeHu72dT09PYiMjERbWxumTJkioMJHhBw8eBAymcyvDQAAGRkZKCsrE1sGwwNsD8SeGAAAwsPDkZWV5bM+A4laraZnn33W7QfiCxcu4M8//4TZbEZbW5v9z3///Rfd3d32o6enB+Hh4ZBKpfYjIiICMTExmD59uv3PWbNm4emnn3ar7tjYWBgMBr9ttjEceeGFF5Cfn+/V+qpHjx5FYWEhzp49K4AyRyRyuZxc3Vj379/HkSNHcPLkSTQ0NKCxsRExMTGYM2eOw40cExOD8ePHQyqVOtz4fQ3R3d2N27dvOxjHbDajubkZbW1tSExMRGJiIpKTk6FSqTB69OgBejZt2oT//Oc/ovdmM4bm3LlzyMzMhMlk8jpGbGwsfvrpJ8ydO5dHZQORqNVq6r884v79+1FVVYUjR44gOTkZL730EpRKJRITExEZGcm7CIvFgoaGBjQ0NOCXX37BqVOnoFKp8Morr+Ddd9+1n2dbscJisfCugcEvW7duRWhoKD7//HOvY3zyySfo7e1FUVERj8qcYBukdvPmTVKr1TRhwgRKS0ujsrIy6ujo8HkXNhFRR0cHlZWVUVpaGslkMnr11Vfp5s2bREQkl8vZKhUBQExMDJ0/f35YMc6fP08xMTE8KXINTCYTbd68mUJDQ+mtt96ipqYmwSv1hKamJsrNzaXRo0fTBx98QHl5eaKPcGUMTlVVFS1cuJCXWAsXLqSqqipeYrlCMm/ePLp79y7279/v1xvIGY1GrFq1Ct3d3Zg9ezZb4dqPefvttzF//nxs2LBh2LG+/fZb1NfX4/vvv+dBmXMkK1euJCEr4Jv33nsPP//8M27cuCG2FIYT7ty5g4kTJ+L69euYNGnSsON1dHRg6tSpsFgsgu3pNuqPP/7wr8FCQ5CRkYGqqio0NTVh6dKlYsth9KO8vBxhYWHIzs7mJZ5UKkVzczN6enqQmJjIS8z+BOSO9lu2bMGxY8fElsFwgicjRt1F6Mk2gu5PIBS2kaUBKH1Ec/nyZSQnJ+P69eu8x46KisLJkyeRkJDAe+yAzASnT5/G9OnTxZbB6Eff5RX5RshBdQFpgm+++YY9GPshQjSFbAg52SZk7dq1ggQWirVr12LKlCm4e/eu2FIYfTAYDJBKpZg/f74g8efPn4/w8HAYDAbeY4dwHIekpCQYjUbeg/OJ0WhEUlISLBYLysvLxZbD6IeQWcCGYNmAiGj37t00ZswYys3N9dse4zFjxtB3331nL4d3+4swBKC3t5fGjRtHbW1tgtbT1tZG48aNo97eXl7jhgBAbm4uzGYzpk2bhvT0dGRmZqK8vBydnZ38u84NOjs7UV5ejszMTKSnp2PatGkwm81YvXq1KHoYg6PX67Fo0SLExMQIWk9MTAySk5P5zwbOnLFv3z7KzMyksLAweumll2jHjh1UXV1NnZ2dvDrQRmdnJ1VXV9OOHTsoLS2NwsLCKDMzk/bt2+fyGhfSGSKgUqnowIEDPqnrwIEDpFKpeI05aD9B3/kEjY2NaGhosM8n6D85xt35BP0n4zQ3N8NsNiMxMRFKpXLQ+QR98Zc9cIMds9mMOXPmoLOzE6NGjRK8vgcPHiAyMhIXL17kLfN43Flmm1lmu5GdzSyz3fT9TRERETFgMo4nM8schDMT+AVffvklrly5gt27d/usztzcXMycORMfffQRL/ECsscYYCbwF5RKJb766iukpqb6rE6DwYDNmzejoaGBl3gB2VnG8A/q6+vR3d3tUwMAQGpqKrq6ulBfX89LPGYChtf4om/AFXwOqmPNIYbXCDmobSj4HKzHMgHDKyorKzF79mxRDAAACQkJeOqpp3iZYchMwPAKIUeMugtfwyhYc4jhMR0dHYiKikJnZ6dgUx7d4c6dO4iMjMTff/89rKmcLBMwPEan0+GNN94Q1QAAMG7cOF4ekEekCdjONsKi1+tFeyvUHz4m24RIJBJIJBLU1NSgtLQUtp8lEglKS0tRU1PjUFZYWIjW1laHspycHABwKLO9O46NjbWX2ZbTS01NtZfZVrTLyclxuJ7jOBQWFjqUNTU1QavVQiKRuPyFOI7z+XvrYOLChQswm81QqVRiSwEAqFQqtLW14cKFC94H4XUkkg9xJT0/P58AUH5+vo8VBQfbtm2jLVu2iC3DgS1bttDHH3/s9fUj6sGY4zjExsaC4zjIZDK2ZqkA+GqRXE8Y7uK/If2bHP7cLBpqyyatVmv/O8dxfrf/WqBz9OhRTJ061a8MAABz585FVFQUjh496l0AvlKSr+kv3WKxkFwup8rKSgJABoNhyB3UGZ6RnZ1NWq1WbBlO0Wq1lJ2d7dW1I6Y5pNVqIZfLoVar7Z/V1NSgpqaGZQQe8PUWSp5y48YNTJ8+HRaLxeOdcUICpSnU/w1RfxQKBdRqtUNZSkrKgDKGd+h0OqhUKr80AABMmTIFKpXKqz6DEZMJ3P2M4R0vv/wyVq1aheXLl4stxSUVFRXYu3cvjh8/7tF1zASMIRFjg21v8WTjcBsj6u0QQxjEnDfgKd4Mo2CZgDEks2fPxt69e5GUlOTxtYP17ruDp/+PZ86cQW5uLpqbm92+JtRTUSOF/uNf+u68np6ePmDp99raWrz44os+1egPnDp1CqNGjfLKADYaGxsREuLZMLWHDx9CqVR6XFdSUhJCQkJw6tQpLFq0yK1rRszbIU9ZsWIFiAhEZE/3V69etX9eVFRk/5yIgtIAAH+D5SIiIiCTydw6IiIihlWXx/MMvO6dEJnBpHvzawGg2tpaIiJasmQJFRUVeXR9UVERASAAtHbtWiIiqq2tpbi4OIfPioqKqLa21v7zkiVLPNbqS2Qy2bB2CwVAjY2NdOXKFbp27RrdunVr0OPatWt05coVamxs9HqBNZPJ5FFH6YgcSu0ptgwQHR1tL9u6das9+6xbt27Q67/44gts3brVnjWuXr2Kuro6nDlzBi0tLWhtbQURoaioCFu3boVGowERoba2FseOHXPIQP6EXq/HggULnG707i2hoaEIDw93eoSG8tM6l8vlWLBggfvZoKCgwP6thP8NNygpKXEoKykpIYPB4FBWUFBAJpPJoUyj0djdbztSUlKI6NH+w7YyhUJBREQpKSn2MptzNRqNw/UWi4VsGgsKChy+YVwx2GfOWLJkif3buz8tLS32b/DB6rNlkb6sXbvW4ZvelhFs2DKCv5KRkUFlZWXDioF+mYDjOOrp6aH79+87HD09PcRxHC+ZgIiorKyMMjIy3NPodS0iw5cJioqKKC4ubtBz+t/MfdHpdC7ri4uLI51O5xCnr9l0Op3fNofa29tJKpWS1WodVhxXJui7snRvby/vJrBarSSVSqm9vX3Ic4O6OWRrxly5cmXIc2fMmOHyM1cdMy0tLXj++eftPx8/ftzhjcWpU6cGjSsmton0YWFhYkvxirCwMLdnnQXt26F169Zhz549A95D19XVOTwD1NXVYdeuXXjzzTddxmppabG36/V6Perq6lBXVwfA0TwtLS2YNm2a/eerV6+6/RrP1wjdQUZE6O3tRW9vr2B9Om6/JfI634jIvXv3htUcsrXz+x+2pklcXJxDubP2fl+WLFky4M1QUVGRQ1PHWfvfndhiYDQaKT4+npdYcNIc6urqcnrw2RyyER8fT0ajcdBzArLH+LfffsP69etdLsjKeoyHx4cffoixY8fi008/HXYsiUSCxsZGjB8/HmPHjh1yyf379++jq6sLt2/fhlKpHPb/4/bt29HV1YWvvvrK5TkBOXaosbHRYXdzjuMG/YcY6nOGI0ItrGW1WvHvv/8OelitVl7rzMrKwo8//jjoOQGZCWbOnIkPP/wQa9assZdt2rQJxcXFABwzgVarRV5enig6A5HDhw/j66+/Rk1NDS/xbJnA22ETfNyeKSkp+OCDD/Daa685P8FX2+zwxYEDB+z9DH2prKy090ngf21JjUZDJSUlPtUX6GRlZdGuXbt4iwcnz16eHHywa9cuysrKcq1x8uTJtH79er/vMCspKaGLFy/S5MmT6cSJE05/GYVCYY+n0WicmoXhGovFMuyb1p8PV3vuYfv27TR58mSfbbzmLQcOHKDJkyfT9u3bXZ5jm2Tf17gMxlCAiOjEiROkUCgoPj6edu7cSWfPnqV79+6JKuzevXt09uxZ2rlzJ8XHx5NCoXCZAfqiUCgcMg2DMRQOD8bfffedfZfKxsZG5w8RPkSpVNp3tez7EDwYBw8exOuvv46SkhJoNBqBFTJGAgH5dmgocnJyUFJSIrYMRoAwIk1gW4aRwXCHEWkCBsMTgnoUKYMBMBMwGMwEDAYzASPoYSZgBD3MBIygh5mAEfQwEzCCHmYCRtDDTMAIepgJGEEPMwEj6GEmYAQ9zASMoIeZgBH0MBMwgp7/Ajo/i2EO5oNVAAAAAElFTkSuQmCC)
A cylinder containing water up to a height of 25 cm has a hole of cross-section
in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out
![](data:image/png;base64,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)
physics-General
physics-
Water is filled in a cylindrical container to a height of 3m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s2)
![](data:image/png;base64,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)
Water is filled in a cylindrical container to a height of 3m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s2)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARkAAACdCAYAAACARgxtAAAOt0lEQVR4nO3dX2hb5f8H8Hd+VKXOuTPmjVIkWXshDFlyYUXJRrILW280EZytCknAm9aLtjcLo0hOYSgNQtILDUwlCSgGUZMK4lrEpG2o6E2DiDBsslPQeiPbMxhSZZjvRX/nIWnT2X9PepK8X1BsTtOTpzk7bz/P55ycY6tWq1UQESnyf0c9ACJqbwwZIlKKIUNESjFkiEgphgwRKcWQISKlGDJEpBRDhoiUYsgQkVIMGSJSiiFDREoxZIhIKYYMESnFkCEipRgyRKQUQ4aIlGLIEJFSDBkiUoohQ0RKMWSISCmGDBEpxZAhIqUYMkSkFEOGiJRiyBCRUgwZIlKq6yheNJFINFw+MjLS5JGQatzWxEqGiJRiyBCRUgwZIlKKIUNESjFkiEgphgwRKcWQISKlGDJEpBRDhoiUYsgQkVIMGSJSiiFDREoxZIhIKYYMESnFkCEipRgyRKTUnkPGMAwV4yCiNrVjyOi6DpvNtu3L4XA0XG6z2ZBKpQ48oKmpqbp1FgoFpFKpba9TKBTqlk1NTcEwjLploVAIAOqWeb1eAKj7O1wuFwDA6/XKZSdPngQAhEKhut8XQmwbY6lUQjwer1uWy+WQy+XqlsXjcZRKpbplExMTEELULfP7/QCAkydPbhujy+Wq2xYA4Pf7634fACYmJuqWGYaxbYzNeG/feuutA/+boNZmq1ar1d0+Wdd1TE1NIRKJQNf1fb8oL8nYObitadfTJSEEZmZmAED+l4jov+w6ZOLxuPxeCHGgSoaIOseuQkYIgXQ6jWQyCQDI5/PKqxn2Zlq/N0ME7LInE4/HYbfb4fP5YLPZUK1WUSgUUCgU9lXRcJ7eObitaVf3XXI6nfB4PHXLPB4PNE1TMigiah+7mi5tDRiT0+k81MEQUfux3Bm/7MW0fi+G58lQrT2dJwNA9mQOgvP0zsFtTZarZIiovTBkiEgpy4YMezOt35shAtiTIcW4rcmylQwRtQeGDBEpZbmQYS+m9XsxPE+GarEnQ0pxW5PlKhkiai8MGSJSyrIhw95M6/dmiAD2ZEgxbmuybCVDRO2BIUNESlkuZNiLaf1eDM+ToVrsyZBS3Na050rmoAFDRJ3FctMlE6dNrT9tIgL2MV06DCyhOwe3NVm2kiGi9sCQISKlLBcy7MW0fi+Gh7Cp1raeTCaTwfDwsHw8PT2NS5cuHeqLcp7eObitaVslMzw8jGq1imq1ik8//RThcBiVSuUoxkZEbWBbyNQWNkNDQwCA9fV1AECxWERfXx+i0agsh6PRKIrFonw8ODjYpKETUSu4Z08mGo2it7cXbrcbALC8vIxyuQzDMFCtVjE9PY1wOIxgMIhqtYqlpSXMzc0dSuXD3kzr92aIgAY9mWKxiHPnzsnHtT8eHR1FpVLBtWvXAGyGUDgcls8xf/e/Tr3hPL1zcFvTtkrG7XbLnky5XJZTIgCYn59HMBiUzzUMo+4fy2+//YaBgYEmDJuIWsU9p0unT5/GyMgIDMMAAJTLZfT398ufz8/P4/z58/Lx4uIiTp8+rWioRNSK6kKmWCxua9wmEgnY7XYUi0UAqAuRcrmMnp4e+bhSqdSFzn6wF9P6vRieJ0O1tvVkBgcHMTc3Jx+b58lEo1F89913sh/TqP9is9mwtLQkG8U74Ty9c3BbU9fWBWaIbHXp0qW6k/LM3k0tXgaCiLay3McKiKi9WDZk2Jtp/d4MEcDryZBi3Na050rG/D8kEdFuWHa6RETtwXIhw15M6/dieJ4M1eItUUgpbmuyXCVDRO2FIUNESlk2ZNibaf3eDBHAngw1QTwex8zMDGKxGDRNg9/vRzAYRCwWg8vlgtPpRDKZhK7rWFtbQyQSgWEYKBQKCAaD0DQNmqYd9Z+xL4ZhwG63H/UwjpRlKxlqD2bAXL58GV1dXfD7/RgeHkYkEoHL5UJfXx8CgQB0XccPP/yAM2fO4Oeff8bnn3+O27dvwzAMWfXF43G5zlKpdMR/2Xa6rtdVdGaVuXXZ66+/ftRDbSrLhQynSa0/TTLfW9Pdu3dx7Ngx9PT0yCpY0zT8888/uHPnDjweD9bW1nDnzh0899xzWF1dxa+//oqnn35abpdYLAaPx4N33nkH169fRzqdlu+HOZajpuu6vOBbtVpFJBIBAEQikbrlH3/88RGPtLk4XSKlXn75ZXz77bfw+/149NFHEYvF8NRTT2FhYQHPPPMMNE3DN998g1AohNXVVbz33nv48ccf8cUXX+DNN9/EQw89hEAggIsXL2JychKvvPIKenp68NFHH8l19vf3IxgMynBOJpMAcKRTLCEEHA4HhBDQNA23bt06srEctW2XeiA6TBcuXMDZs2fx4IMPoru7G1euXJE/SyQSEEIAAAKBAAzDwOOPP46bN29iY2MDd+/eBQA88cQTOH78OADgr7/+wr///gsA6OrqghCiLmCef/55aJqGUCiEXC6HfD4Pp9PZzD8ZAOTUDtgMHF3Xoet608dhBQwZUu7UqVPy++7ubvl97c7v8Xjqvq99bFYDwGawmP2YEydOYGNjAwBw9uxZXL9+HRcvXsTExAQMw8Ann3wCu92OeDyO2dlZxGKxpgSOEALpdBrJZBJ+vx/5fB5+v79jQ8ZyPRkTezOt35s5LD6fDx6PB5qmIZ/PY2VlBQBw/Phx/P777wCAjY0NOY0/ceIEHnnkEZw5cwbxeBxra2t44403oGkaUqmUfK9VSaVSiMVi8Pl8ADZDM5vNdmzIsCdDSjVrW6dSKaTTaWSzWXz22Wf45ZdfoOs6crkc5ufn8fbbb6NUKuGnn37CjRs3EAgEAAB2u/3QDzEXCgVZidXuL6VS6UimbkfNspUM0V4Eg0Hk83lomob19XV59OnPP//E999/DyEE/v77bxkwmqZBCAGXy3Xoh8Nrp3q1OjFgAIYMtSFd13Hr1i1omianU3a7HX/88QdSqRTsdjsKhQJCoRBWVlbgdDoRCoXqmrV0eCwXMuzFtH4vxkqXeojFYrLCWVhYQDKZhN1ux9raGiYnJ2VjeHBwEGtraxBCHOmJfoODg3Xvqc1mk7cjymQydcszmcy+1tNs7MmQUlba1qVSCVNTU0gmk1heXsYHH3yAZDKJr7/+Gh9++CHy+TyEEPB6vfB4PIjFYgd+zb3uL4ODg7hw4ULdnUEarSuTyWB4eBjlcrnhDRXvtZ5ms1wlQ6SK0+lENpuFpmmYnJyUn4l69913Zb/E4XAgEAjgxRdfPPKqZqvasBoaGgIArK+vH9r6o9GorHpGR0cBbN5fra+vr+5n0WgUxWJRPt56Q8itGDLUkVZWVhAIBCCEwNjYmAwVs/LyeDwwDANerxe5XK6pYwuHw9t29q0qlQoA4LHHHjvQekzRaBThcFh+9KFSqaBYLGJ5eRnlchmGYaBarWJ6ehrhcBjBYBDVahVLS0uYm5uT42nEsiHD3kzr92aszjwKNDMzg0KhACEELl++DE3TZGP4q6++gtPpbFpFc+3aNbmjl8tlJBIJRKPRbc8bHR3FyMjIjvee3+16TOFwGEtLS3W/73a7YRgGBgYG8P7779c9f3V1te7xTuMA2JMhxVplWwshUCgUcOrUKTz55JMwDAPLy8t49tln5Ul8s7Ozsom8WwfdX0ZHR1GpVOru7BqNRnH16tVtO/pe12My+zuNxtnX14crV67I6ZlZEZmhk8lkkEqldrzzLGDhSoaomcz+zAsvvCADxzz6NDExgdu3byMSiUDTNBiG0dSx1VYJ5rRmLwHTaD1b9fb2NlxeLpfR398vH8/Pz+P8+fPy8eLi4j3XCzBkiCSPxyPPrxFCYGVlBZqmYWxsDGfPnoXP54NhGEpO4AM2m6y1vZNisYhEIoFXX30VwGYVcfXq1R0rjtpm7b3W00i5XJZ9lUwmg2KxKA9514ZIuVxGT0+PfFypVOpCpxHLhQx7Ma3fi7HSeTL7YZ5TMzMzAyEE/H6/nDKFQiFks1klr+t2uzE/Py/fu3PnzmFpaQlutxuVSgWJRALlcrnuPW90ZOde62lkaGgIAwMD6O3thc1mw+LiItxuN5aXlzEwMCCfZ4ZO7Xrm5ubqQqcR9mRIqVbe1oZhyA9SapoGu90Ov9+PSCQCu90Or9f7nz2aw9hfWh0v9UC0AzNUhBDI5/NwOBzyjOFcLodAIICpqalDOWmvnVluukRkJdlsVn5iO5lMYnZ2FsDmYW9N0xCJRJp+Hk2rsWzIsDfT+r2ZdhEMBuUh7Fgshlwuh3Q6DZ/PB03TkE6nLXOdYSvaVU+m9joYtXNMwzD2dbuKVp6n0960y7Y2P9OUz+eRy+UwOzuLbDYLh8OB2dlZ3Lx5Ex6PB0IICCHkNWpq95dOvZ7MrnoyZjlY+waVSiXkcrlDvdrXTv8giY6apmlYWVmBEAI+n0/uC4FAAJVKBT6fDxMTE4jFYojH49suIVooFBgy9zI+Pg6Hw4F8Pg9gM2DMa5cSdZJ4PI6FhQXk83m4XC75gctSqSSnouPj43C5XPKuCbXXrulEuwoZTdMQDAblXNvr9SIYDHb8nfGo8+i6jlQqBSEEIpEIUqmU3DfMk/c0TUMgEJD7i9/vx9jYWMveBfOgdn2ejBBCNkHN0nG/IcNpEbVaT+ZezFvqmp/cTqfT8ha8Zt/yxo0bHRsyuz66pGkaxsfHAYBVDNH/Mz/nZO4T5sWuzGoGQEdXMcAez/g174p3kCoGYCVD7VXJ7KT2iFQnhwyqW0QikSoAfvGLX23+9dprr23d/ZVoWMl8+eWXWxcRURt66aWXlL9Gw6NLDz/8sPIXJqLO0DBkzJubExEdVMOQOXbsWLPHQURtiiFDREo1DJnu7u5mj4OI2lTDkHnggQeaPQ4ialMNQ+b+++9v9jiIqE01DJn77ruv2eMgojbVMGS6unjpXyI6HHu+WwER0V5Y9hq/RNQeGDJEpBRDhoiUYsgQkVIMGSJSiiFDREoxZIhIKYYMESnFkCEipRgyRKQUQ4aIlGLIEJFSDBkiUoohQ0RKMWSISCmGDBEpxZAhIqUYMkSk1P8A5mOKFXp+RZMAAAAASUVORK5CYII=)
physics-General
physics-
A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The up thrust on the body due to the liquid is
![](data:image/png;base64,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)
A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The up thrust on the body due to the liquid is
![](data:image/png;base64,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)
physics-General
physics-
A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then
![](data:image/png;base64,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)
A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then
![](data:image/png;base64,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)
physics-General
physics-
A homogeneous solid cylinder of length L
. Cross-sectional area
is immersed such that it floats with its axis vertical at the liquid-liquid interface with length
in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure
. Then density D of solid is given by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP0AAACjCAYAAABBsRh7AAAbwElEQVR4nO2de1AUVxbGvxEQDCoTwRegDqASNcrDFQEFR4sVkpSom6WUWIlD3NpEND5qI8QtlTEQDcQUoKCbTSKwG8MY18gGV4FNhAji+uJh3GSzYXDwFaNGGkxZCsrdP6junWYegjDMjH1+VV30nOmeud3M1/d+596+LWOMMRAEIRkGWLsABEH0LyR6gpAYJHqCkBgkeoKQGCR6gpAYJHqCkBgkeoKQGCR6gpAYJHqCkBgkeoKQGCR6gpAYJHqCkBgkeoKQGCR6gpAYJHqCkBgkeoKQGI7WLkB/cuTIEdHr559/3kolIYiesWfPHtHrlStXPvZnSUr0TU1N1i4CQVgdat4ThMQg0ROExCDRE4TEINEThMQg0ROExCDRE4TEINEThMQg0ROExCDRE4TEINEThMQg0ROExCDRE4TEINEThMQg0ROExCDRE4TEINEThMQg0ROExCDRE4TEsEvRq9VqyGQyo8u5c+esXTyCsGlkjDFm7UL0Bo7jEBQUhIsXLz5y266TC06ePBkDBgyATCYT/QVgEOeXru/39QLgkfGerJv729317rzuLl1/buZeP2rd3N/HWddfTMV7u3R0dAAAOjo6DOLG3tf/++233wrnoDcTY4LZOSkpKQwAS0lJeeS2u3fvFi0qlYoBEJbc3Fy2efNmUUytVrMPP/xQFFu5ciUrKysTxRYvXsy+//57UWzmzJmssbGReXt7C7HJkyezy5cvs7CwMCE2dOhQdv36dbZkyRLR/lqtliUnJ4tilZWVbPv27aJYYWEh02g0olhGRgY7deqUKPbGG2+wn376SRSLjY1l7e3tTC6XC7GAgAD28OFDFhAQIMQUCgXr6OhgCxcuFO3PGGPr1q0TxS5evMgyMzNFsfLycpaXlyeK5eXlsWPHjoliW7ZsYVqtVhR75ZVXWFtbmygWGRnJ7t27x8aNGyfExo0bx+7evcsiIiKEmJubG2ttbWXLli0T7a/T6QzObXl5Odu5c6dBGffu3SuKpaSksKNHj4piCQkJrKamRhSLiopi3333HRsyZIgQ8/f3Z+fPn2f+/v5CbMiQIezMmTNszpw5ov1PnDjB4uLiGAD21ltviX67vcGua3qO4+Dj4wOO4yCXy9Hc3Gx2e6rpqaY3t66/mIr3drGFmt4uPT1PVlaWsM5xHNRqtRVLQxD2gd2KnuM4FBQUIC8vDwBQXl6O7OxsK5eKIOyAXpkDK5KZmckOHTrEGGOCtywvLzfr7bt6+oqKCnb8+HFWWVnJTpw4wVasWCHyVH/605+YWq0WxVJTUw083urVq9lXX30lir344osG3jQ0NJRdunRJ5PGnTJnCfvzxRxYeHi7yoTdv3mTx8fEGPvStt94y8H3p6emi2P79+9n+/ftFsR07drDTp08bePybN2+KYgsXLmQPHjww8PgdHR0sMDBQ5PEZY2zRokV95vH37t1rcB63bNnCGhoaRLGXX36Z3b9/38Dj371718Dj37lzx8DjcxzHXnrpJdH+Wq2WJSUliWJfffUVy8rKEsU++ugjgxzP5s2b2eHDh0Wx5cuXszNnzohi8+bNY+fPnzfw+OfOnWMTJ04Uefzq6mq2YsUKVllZyY4fP84qKirI01dUVECpVALo9Jf8YdTV1SEwMNDoPuTpydObW9dfTMV7u9iCp7fbx1rxgu+KKcFbgvv37/fp53l5efXp5xGEMezW0xME8XhIWvT5+fmIjIxEREQEZs2ahdraWvzjH/9AaGgoQkJCMGPGDBQXF+PcuXMICgpCYGAgpk2bhj179uDatWt9Xp41a9Zg5MiRGDFiBIYPH46WlhZkZGRg2LBhGDZsGJ5++ml888032LNnD9zc3DB06FAMHToUhw8fxuHDhzF48GC4urriqaeeQk5ODs6fP49BgwbBxcUFLi4uePPNN8FxHAYOHCgsL774IgBg+PDhcHR0hKOjI6ZPnw4ACA4OhoODAxwcHODr6wsAWLx4scjaAMD69etFVkSn0yErK0sUq6ioQH5+PgYMGCAsBQUF+Prrr4XvcHBwwNtvv42mpiY4OjrCyckJTk5OWLFiBQAIZXZ2dsavf/1rAIC/vz8GDRqEQYMGYdKkSQCAmJgYDB48GIMHD4a3tzeAzuawm5sb5HI55HI5WlpakJ6ejmHDhsHd3R0eHh64cOECNBoNRo4ciZEjR2LUqFEoKSlBSUkJvLy84O3tjTFjxuDjjz/Gt99+C4VCAR8fH/j6+iItLQ2tra2YMGECJk6cCH9/f6xevRoAMHPmTEyZMgXPPvss4uLiAABLlixBUFAQgoODhVbrhg0bEBoaitDQUISHhwMAdu7cicjISJSUlPTZ78xuPb0++p7eHH3t6dva2vr0OPjmPXn67q2Tp3887NbTE9bl7t27OHv2LM6ePQudTodbt24Jy88//4xbt24BADw8PISalF/38fHB9OnT8atf/QqDBg2y8pFIDxJ9P1FXV4ctW7bgiy++sHZRBJqamqBQKLq9/fXr13HgwAH885//xI8//og5c+bgmWeewfz58+Hs7AwnJyeDpr9MJsPDhw/x4MED3Lt3D62trfjPf/6DlJQUnDhxAkqlEgsWLMBvf/tbjBo1ylKHSughaU/flY8//ljwVCEhITh37hyKi4sRHBwsePq///3vOHv2LJ599tkefXZ9fT3CwsLMbsN7yQkTJgAA3njjDbi7uwuevqWlBe+++y7kcrng6b/55hvs3r1b8LCurq4oLi5GcXGx4HVdXFyQk5OD+vp6ODs7C954+vTp4DhO8M6Ojo6Cx3d3dxd89tSpU/H222/jj3/8I0aPHo0333wT77//PmJjYzFx4kQMGTIEAwcOFGxWR0cHHj58KIidMQYHBwe4urpi9OjRmDt3LrZu3YoTJ05g7dq1qK+vh5eXF+bPn4+//e1vQm7ByckJqampaGpqEuUhfve73wGAkKsYNGgQoqOjAQCTJk2Cq6srBg8ejClTpgAAXnjhBQwdOhRubm4YN24cAGDVqlXCeXV3d0dLSwvee+89jBgxQvg//Pvf/8b+/fvh6ekpePrS0lKUlpZi3LhxgqfPy8vDd999h/Hjxwueftu2bbhz5w4mTZqEyZMnY8qUKVizZg0AYNasWQgMDERQUBDi4+MBAMuWLUNISAhCQ0OFfMXevXt79BvrLuTp+8nTr1q1CiEhIVi+fLnJbfrT06empiI1NRVbtmzB5s2bRe/rrx88eBAXL17EzJkzu32sj4OTkxOKi4vxwQcfYNeuXVi6dKlZT89xHEJCQvD999+Tp+8hNlXTV1VVQSaTobGx0dpF6TUFBQUIDg5GcHAwtm/fjsuXLyMgIMDaxQLQOYR5165dADqzw6b48ssv4erqanHBA0B7eztiYmLw0Ucf4fXXX0dZWZnZ7XNyctDU1IS0tDSLl+1Jw6ZEn5aWhvT0dKF7yF4pKChAdnY2ampqUFNTgytXruDKlSv9OnDIHLzggc4LQGpqqtHt7t69C1dX1/4qFoDOrsOEhASTZQLEF62cnJz+KtoTg0VFn5iYiIyMDIO4sdpco9GgtLQUSUlJ0Gg0oqatRqOxSPks1U+fnZ2N7du3C69jY2OF/mJz9Ec/fVNTE1JTU8FxHAAgPDwcO3fuNNpP39cjDrtLQkICTp48abKffuTIkfjll18AdF4AqJ++Z1jU048fPx5paWlYunSpEKuqqoJKpUJDQ4PJbfU9ukajQXx8PLRarckWgC15+rq6Orz66quoqakRYvwFYOPGjWbL1x+efteuXVAoFIiNjcXAgQPR3t6Or7/+GsePH8eWLVuEsshkMkyfPl10+7KlGTBgANzd3VFSUoI//OEPaG9vF97j/78cx2HGjBnYsWMH4uLiUFZWhri4OFy/fr1b3l2r1fbb8fSUBw8e2L+n12q1CAkJEcWqq6sxfvx4UYxvDfAXB30B8zFLjICzBD/99JNB7MCBA/D09LRCaQwJCAhAbGysKDZnzhyDGNB5Afv973+Pu3fvWrxcrq6u8PT0xIkTJ7BhwwaT2/31r3/Fjh07hPJGRkbis88+wzvvvGPxMj4pWEz0VVVV8PPzM6idjx07hnnz5oliycnJyM/PN/o5vA2wFdE8ipEjRwIArl69CgDCj9NWkniRkZFG46bK99prr+G1115DaWmp0IXXVzg4OGD48OGYMGEC2tra8M477yA1NRXvvfeeyX2mTZtmcIGKjIzEggUL+qxcTzoWG5xTXV0NrVZrdLimSqUS1hMTExEdHY3Zs2cb/ZzExESsXLnSbpJ7gYGBCAsLE36Ee/fuxauvvmozSbyeMmvWLMyYMQP79u3DCy+8gIiICCxcuBBhYWFwcXFBW1sb2tracO/ePaM5AD5P4ODgAGdnZzg7O+Opp56Ci4sL7ty5gyNHjuDo0aOorKzEsmXL8Omnn8LJyclkeebMmWPUyk2bNq1bFo+wYE2v0+mQnp4u6ovk/RTf5G9sbMSePXuwe/duo5+RkZGBhoYGk+/3NX01OCc3N1fI3AcGBor8vTn6e3AOALODc3gGDx6MNWvWoLq6GlFRUdi3bx9CQkLw/PPPQ61W4/PPP8fp06dx7do1tLW1wc3NDX5+fvDz84OrqytaW1vxww8/oLy8HJ988gnWrVuH0NBQTJ06FZ9//jmioqJQXV2N1atXi3oLHjU4B0CPB+dYku3bt4sSuD3F7gfnGEviaTQabNq0SUjixcTEwNfX16ioMzIykJyc3K2rty0l8npDf99wwyfyeLoOznFwcMC//vUv4c62gQMHCheIgQMH4r///S/q6+tx+fJlNDc34/bt28K4+59//hkAhMy4/sVrzJgxCAgIEJr17e3taG9vR1tbG+7fv4+2tjaEhoYaTeTprzs7O+PevXs9GpxjyURecHAw9u7d+9ituv5K5Fmked/Y2Gg0iXfp0iUhiVdVVYXS0lKjYk1MTERZWRk112ycyZMnY+rUqXBwcICjo6Nwy6z+hUd/xFlHRwcePHggGqJrS5SWlop6WNauXSsaQbl9+3Z4enoaHVVZV1cHb29vA8FfvXoVCxYsgLe3t83cd2ER0fOZdnNJPJVKhfT0dIN9+SY/IK55oqOj+7Svsi9wdnY2Wis/7kJYl40bNwpWjL8AREVFCS2wkydPYtWqVUb3PXr0qGCN9Nm2bRvCwsJw+fJlyxW8h1jE08+ePdtoLV1SUiIMvgGApKQkg218fX2Njlm2hOB7OzhnypQpmDx5MiZNmiTUEBMnTsSECRMwfvx4vPTSSwCAiIgIKBQKjBs3DjExMQCAuLg4eHl5wdPTE/7+/gD6dnDOL7/8gjt37uDOnTtobW1Fa2srWlpa0NLSAo7jwHEcbty4gebmZmG5ffs2bt++LQzOsTaWmETDHPq5Fz5HcPPmTSF25coVk7mcAwcOICoqShQrLS0FAKPdocZ4IgbnmPxSmQyFhYUiv9/bz7OGp+/LWt6YL++Np+dHrD0Ow4YN65an57PyvWne26qnLygowMGDB4Umublbo0tLS5Gbmyt6j2/WFxcX48KFCwbvG8OuPf2jIK9O2CL8aEoe/Zq/vr4eY8aMMbrfF198YdC037ZtG9auXQsvLy9cuHDBMgV+TGzqhhuCsCZ892pNTY3QVVtQUACgM0/VNTENdNboJ0+eFDXtS0tLcfnyZbO3UVsTEr0ePe2n5z19bm4url69Cn9/f8HTJycnA+jMUfj4+EChUGDJkiUAgLCwMHh7e8PLy0vwpr/5zW/6tJ++t+j301sLa/bTe3l5IS4uTkhKnzx50ujMPl9++SXCwsJE05fzd1byt1Zv3LhReF1XV2fyO+2+n74/IU/ffU+flJSEsWPHCneAGUOKnr6urg4ffvghcnNzhVhwcDDWrl2LqKgowZ93fTZBbGwsVq1aJVx0jGHM8xvjifb0hPWoqKh45N1+UoTvXw8ODhZifD89Xzvrj++Pi4vDc889hytXrpgVvC1CopcYOp1O9MMm/o9+La+PqaHUBQUFwv3x5oiOjrapC4OkPf2T3E9vjFOnTgnlMIdU++l7ysGDB/Hcc8/12ec90f30vYXjOMjlcuE1efruefqcnBxUVlZi//79Zs+TFD29LUCe3gxyuRxFRUVYtGiRwXtFRUVQKpWiiwLRyaVLlxAREWHtYvQKjuOM1tgtLS0YOnToI/fnh4bb4my4/YXdNu85jjOYyikrKws6nY4Eb4KKigq7fzLurl27hPn9eFpaWmiCzB5gt6JXqVTIzs4WhJ+VlYXs7GzRBB095Unup29qaupREs9W++lTU1Ph5+cnCN/FxQWjRo3CkSNHANDDLrqDXXp6nvz8fCQkJAivMzMzsW7dOpPbS9nTnzp1ymBKKZVKZXS2Ylv39CtWrMDx48fR1NSEgIAAjB07Fp999lm3PL25dWs37429T56+CyqVClu3boVOp4NCoehVLf+kM3PmTNy4ccPaxegTduzYIcxFWF9fjz//+c9WLpF9YbfNe56UlBQAnQMpyMtLA7lcjpdffhlA54i4adOmWblE9oXdi16lUkGpVFItLzF27NgBANi0aZOVS2J/2GXzXq1WY+vWraLY008/DQA4e/ZstweXlJeXG3wOYTuYmxWXx9idb08iCQkJmDFjRp98ll3W9Gq1GowxNDc3Q6FQiBIiPRlNxn+OVBfAfLLK2lj7/NjS0leCB+xU9Dx8v7xarbZ2UQjCbrBb0XMch+zsbAAQ/vYWtVot6iarqKhAfn6+KJafn4+KigpRTK1WQ6fTiWJ8V6J+bO7cuQAAHx8fIRYUFAQAmDt3rhDjrUpCQoJof47jDMpYV1eHrKwsUayoqAhFRUWiWFZWFurq6gy6ATmOE8UWL14M4P92yZr09tz6+PgA6N257fr/7+65Xb9+vdlz2/X/HxQUZFBGS1VmdttPr1arkZ2dLQzSSElJeeRJ6tpP35u+zicBmcz8PQsymcyq/fR2+tO0CH3527XLmp7jOBQUFCAvLw9AZ0Kur2p7gnjSsUvR5+fnIzMzU7jhRqlU4tChQ+TtCaIb2KXoAwMDDe6wUyqVRu+6M4fUPHxXnwlA8JlyudygjNZGah5+8eLFBjmX9evXCzarz86rvXp6nkf5Un3I03f2ePD3J/DnjuM4FBUVGQxwIk9vO0je0xOPz6JFi4RaEujMjyQkJEChUBjdXv+ml/7CGt8pJUj0EkOhUEAulwvC55vOSqXSYNvw8HAhWdqf5OXlISwsrN+/VyqQ6PV4HI9vSSzl8YuKilBRUQEABtvq+9Dq6mrs27cPZ86csehx6nPmzBl88sknOHnyZK/zJ/bu8amf3gTk6R+PxYsXC1OOHTp0yOR2hYWFSExMxJIlS7B8+XJ4enpaxNNfu3YNf/nLX6DRaJCTk4Nly5b116mwC8jTE70mMzMTQOctyeaIj4/H+fPn4eDggPDwcGzYsAFHjx7tk2fLP3jwAEePHsWGDRsQHh4OmUyG8+fPk+AtjF3eZfekUVVVBZVKhYaGhn77ToVCgby8PKNevitjxoxBbm4uNm/ejAMHDuDTTz/F66+/jqCgIAQFBWHixIkYMWIEPDw8MHz4cGEBOh/1zC+3bt3CjRs38MMPP6Cmpga1tbVQKpVYsGABdu7cafSxUYQFYHZOTw5h9+7doiUlJYUBEJby8nKWl5cniuXl5bHy8nJRLCUlhV28eNHkdxcWFoq2LywsNFuu9PR0tnLlSoN4c3OzQRlra2tZZmamKHbo0CF26NAhUSwzM5PV1taKYuvWrWPNzc2i2KJFixhjjMnlciEWGBjIGGMsMDBQiCkUCsYYY4sWLRLt//7777OZM2cyLy8vNnr0aDZixAjm7e3NXFxcmJOTE3Nzc2MjRoxg4eHhTKlUMg8PD+bi4sIAsA8++MDsueUXlUol/K/5RalUMsYYUygUBmVUKpVCTC6XM8YYU6lUov1Nnduu///+OLd8GbueW8YYW7duHQPAXnnlFdFvtzfYlKevqqpCREQEtFqtMFXxo7BFT69fJo1Gg/j4eLPHFBMTg3nz5iEpKcki5SHsnyfW06elpSE9Pb3bgrdV9C9CS5cuBQDh6acAkJGRISS7EhMT0dDQIDzRhCAsjUVFn5iYaHS2VZlMhsbGRlFMo9GgtLQUSUlJ0Gg0oq4OjUZjyWJaFP44PT09AXQKPjk5WchqNzY2QqvVYvbs2dYsJiEhLCr6srIyjB07VhSrqqqCn5+fQW2+adMmFBYWAujMGPOiKCwsRHx8vMFFwl5ITEzEypUrheNNTk4WjhPonOPPz8/PWsUjJIhFRa/Vag3mMKuursb48eNFMb41wDeFH9U8thR9PTgnIyMDDQ0N2L17N4DOCx7w/2MCgOPHj2P+/PlG9+/vG3B6MoCEH/hi7iYRftHpdAZl7I+bm2hwjnEslsgz1Q1lLGklk8lQWVlptInb2NgIPz8/k4kwW0zkAeJmPA+f1NOPyWQypKenUxKPMEtf/nYt1k9fXV0NrVZrtDbUv5srMTER0dHRJj1t1+axPZCYmIiysjKDixH/2OTGxkb4+voKLR5K4hH9icWa9zqdDunp6aIZPfnHBPNN/sbGRuzZs0do/nala/PYHuCPib/g8UtMTAxmz56N6Oho+Pn5Cc1ZAJTEI/oVi4neWBLv9OnToiSeuVqcbx5bcpRaX0yi0RVfX1+jUxiXlJQAAEpKSoTY7NmzzVoT8vDS8vB2PYmGKR+ekZGBY8eOoaSkRBiIY+zr+eZxdwRvq56eIPoSmx+cw2fau9bgx44dw7x58wB0+vr09HSDfc01jwmC6D0WSeSZarbyTVx+sI2xjDXfPCYIwjJYZRhufHw80tLSrPHVZpH6RJnk8W3L49tdP31/QZ6ekAI27+kJgrBdSPQEITEkLXry8OThbcnD23U/fX9Cnp6QAuTpCYJ4bEj0BCEx7E70/PPoLQF5fPL4tuTxqZ9eD/4hDYDY0xcVFUGpVEIulxvdjzw9Ya9I3tNzHIesrCxRLCsrCzqdzqTgCYLoxC4fdqFSqYSmG9Ap+OzsbNTW1lqxVARhH9hlTQ8AKSkpWL9+PYBOD7l27doe1/Lk4cnD25KHp376buDj4wOdTgeFQoHa2tpHip48PWGvSN7T86SkpADAY9XyBCFV7LKmV6vV2Lp1q9H3zp49i+nTpxt9r+vVkiDsFcnV9Gq1Wphnrrm5WTQXnSnBEwTRiV2KXp+eNOvd3d0tWBKC6B88PDx6tb/di74nTJo0qdcnjCCsiYeHB5555plefYZdenqCIB4fSdX0BEGQ6AlCcpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmKQ6AlCYpDoCUJikOgJQmL8D6OmvPDbAsLeAAAAAElFTkSuQmCC)
A homogeneous solid cylinder of length L
. Cross-sectional area
is immersed such that it floats with its axis vertical at the liquid-liquid interface with length
in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure
. Then density D of solid is given by
![](data:image/png;base64,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)
physics-General
physics-
A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water
![](data:image/png;base64,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)
A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water
![](data:image/png;base64,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)
physics-General
physics-
An iron block and a wooden block are positioned in a vessel containing water as shown in the figure. The iron block (I) hangs from a massless string with a rigid support from the top while the wooden block floats being tied to the bottom through a massless string. If now the vessel starts accelerating upwards, the incorrect option is
![](data:image/png;base64,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)
An iron block and a wooden block are positioned in a vessel containing water as shown in the figure. The iron block (I) hangs from a massless string with a rigid support from the top while the wooden block floats being tied to the bottom through a massless string. If now the vessel starts accelerating upwards, the incorrect option is
![](data:image/png;base64,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)
physics-General
physics-
Two hollow hemispheres of metal are fitted together to form a sphere of radius R. Air from the shall is pumped out and pressure remained left inside is
th the outside atmospheric pressure P0. The force required to separate the hemisphers is
Two hollow hemispheres of metal are fitted together to form a sphere of radius R. Air from the shall is pumped out and pressure remained left inside is
th the outside atmospheric pressure P0. The force required to separate the hemisphers is
physics-General
maths-
maths-General