Physics-
General
Easy
Question
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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)
- 1.2 cm
- 2.35 cm
- 0.56 cm
- 0.8 cm
The correct answer is: 0.56 cm
If the rise of level in the right limb be x cm. the fall of level of mercury in left limb be 4x cm because the area of cross section of right limb is 4 times as that of left limb.
Level of water in left limb is (36 + 4x) cm.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/861863/1/1182178/Picture2352.png)
Now equating pressure at interface of Hg and water (at A' B')
![left parenthesis 36 plus 4 x right parenthesis cross times 1 cross times g equals 5 x cross times 13.6 cross times g](data:image/png;base64,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)
By solving we get x = 0.56 cm.
Related Questions to study
Physics-
When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given. Identify the combination of air resistances which truly represents the physical situation. (The cross sectional areas are the same).
![](data:image/png;base64,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)
When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given. Identify the combination of air resistances which truly represents the physical situation. (The cross sectional areas are the same).
![](data:image/png;base64,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)
Physics-General
Maths-
5/6 can be represented in percentage as
5/6 can be represented in percentage as
Maths-General
Physics-
A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3, 4 which are respectively at heights of 20 cm, 30 cm, 45 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from
![](data:image/png;base64,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)
A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3, 4 which are respectively at heights of 20 cm, 30 cm, 45 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from
![](data:image/png;base64,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)
Physics-General
Physics-
A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D
![](data:image/png;base64,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)
A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D
![](data:image/png;base64,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)
Physics-General
Physics-
An L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is v, then
![](data:image/png;base64,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)
An L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is v, then
![](data:image/png;base64,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)
Physics-General
Physics-
A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-section
and
, are
and
respectively. The difference in the levels of the liquid in the two vertical tubes is h
![](data:image/png;base64,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)
A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-section
and
, are
and
respectively. The difference in the levels of the liquid in the two vertical tubes is h
![](data:image/png;base64,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)
Physics-General
Physics-
In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities
and
, and pressure PA and PB at points A and B respectively
![](data:image/png;base64,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)
In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities
and
, and pressure PA and PB at points A and B respectively
![](data:image/png;base64,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)
Physics-General
Physics-
A liquid flows in a tube from left to right as shown in figure.
and
are the cross-sections of the portions of the tube as shown. Then the ratio of speeds
will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK0AAABZCAYAAABMrKRMAAAKTElEQVR4nO3ce0hT7x8H8LcllJp5jTK66CjUaJlFZpHdrDStpLuioHQTjDSiZq5CZ0RtBSlpIZlZWUlFdCPNTCxFSBGKgfZHm91IyUnOqCyl5/eHX/er3NnOmdN58vMC/5g+5/Hj2dvnPDuXx44xxkCIiIywdQGECEWhJaJDoSWiQ6ElokOhJaJDoSWiQ6ElokOhJaJDoSWiQ6ElokOhJaJDoSWiQ6ElokOhJaJDoSWiQ6ElokOhJaJDoSWiY3Foq6urkZSUZM1aCOHF4tCGhIRAq9VasxZCeLEotElJSaiqqsLr16+tXQ8hZtkJfRq3uroaHz58QHR0NOzs7EAP85LBJji006ZNg0ajMbyuqqrCokWLrF4YIVwETQ9UKhXKysrAGANjDGFhYfjw4QPa2tqgUqnw8uXLgaqTEAPeoa2urgYASCQSw/ckEgmePXsGDw8PAMCXL1+sXB4hfdnzaaRSqZCammp4LZPJEB4ejkePHgEAvL29B6Y6QowQPKc1pq2tDUeOHEFAQAASExOtURchnKwSWkIGE13GJTYn9OoqhZbYnNCrqxRaYlOWXF2lOS2xGUuvrloc2hEjaJDuL2dnZ3h5eWHixImYOnUqIiMjERkZCQcHB1uXNigsvbrK6zxtr+7ubhw6dAglJSUAAKlUioiICBw9ehT29oK6IgA6Ojrw8eNHNDc3o7GxEQUFBYiJiUFkZCRSU1OxYMECW5c4YHqvrvZerAoPDzdcXX3+/Dnev3+P4OBgBAQE9NmWd9Lq6uqwZcsWzJo1C7t374a3tzfevHmD+/fvQyKRIDY2FqNHj4arqyvi4+ORnZ0NAFiyZAkA4OnTpwCAxMRE3L17Fy0tLdT2r7atra2YP38+HB0dcejQIUyZMgVpaWnw9fXl+zaJgqmrq/7+/gCAlStXQi6Xo7i4uG8HjAe1Ws0mTJjA5HI5q6ys7PN18OBB5uXlxdRqNZ/uCA8/f/5kCoWCOTg4sJs3b9q6HKtRKpUMAAPAlEolY4yxsLCwP76n0WjY9evXmUajMdoHrzntsmXLMHLkSBw5coSzzdGjR9Hd3Y3Kykoh/3TEjCdPniA+Ph7JycmQyWS2LmfAPXz4EJcvX8acOXMwZcoUREdH92ljNrS5ubm4evUqjh8/bvYX7tu3DxKJBOfPnx8Sh9t/pe2aNWsQGhoKuVw+LIJrjtnQSiQSHDhwADNmzDDbWUNDA1QqFZqamqxWIOnR1NSEkJAQZGVlYdOmTbYux6ZMfhC7ceMGxo0bxyuwADBjxgy4ubmhsLAQb9++BTA0Ry4xti0rK8POnTtRU1MDqVT6z304E8LkSLtmzRoEBgZixYoVvDssLy/HixcvcP/+fasUSP6UmZkJrVaLwsJCW5diMyZD6+TkhOvXr8PFxYV3h3q9HtHR0fj27ZtVCiR/6urqgo+PD27evPlPn8c1hXN68PjxY/j6+goKLAC4uLjA19cX8fHxkEgkQ/ZwK+a2qampOH369LANLedIe+bMGVRVVWH37t2CO83JycHixYuxZ8+ePj+rrq5GSEgIAECj0aC2thaHDx+mx9H7yc7Ors/3GGO897ex7QeTk5MT/P39cfz4cbPTUc4bCN69ewc3NzeLCnB3d8ebN2+M/mzixImoqqoC0HNmwth5OCIc++9h09+/AP7729j2g/Xl5+eHdevWYfr06UhOTjb7t3JOD96/f//HZTYhPDw8UF5eDoVC0edQl56ejtraWoSFhRnar1q1qk8fCoXCKofbzs5Ow+8ayof8gWibnp4OiUTCa39nZ2dbpYbOzk6kpKTwrtfT0xMeHh6Gx7QyMjJQVFSEuLi4PjX24pwehISEYP369Zg7dy7nxlzq6+tx+/ZtwzXmvyUlJcHb29twolylUmH79u24cOECwsLCjN4k0R9ZWVlwdXVFQkKCVfsVC679be7GFEsJ2d+xsbGYMGEC1q1bBwC4d+8ePn36hCtXrnBuwznStrS0wNPT04KSe/57tFot50hbVlaGXbt2Aei5u6e0tNSwbe9j6NYaaXvbKpVKpKWlITg4GOfOnRtSI+JAjrQAjO7v3jUqem9MWbBggVVr2LBhA9LS0rB8+XLk5uZytq2rq4NcLje8/1KpFCdOnIApnCPt2LFjUVxcDCcnJ5MdGPP161ds3bqVcx2E3x9J//0eSpVKhYULF/a5pzIjIwMKhUJwHVz27t2L9PR0uLq6Wq3PoYxrf2u1WtTW1iIoKOiPqeBg7m9PT0/k5+cbPj99/vwZO3bsgE6n4+zPZGhv3bqFUaNGCS7SXGiNGejH0DMyMvD06VNERUUhISFh2ASWC58bU/qD7/4eMWIEKioqDGcvfv36hdDQUPz69Yuzb87pwfjx49Ha2opJkyYJLlin08HZ2ZlzemCMh4cHzp49a3htzemBi4sLdDodgoODodfr0dnZiby8vCFzGB/o6YExERERiIiIMLy21gcxoOcQ39jYiODgYEMYe0fuv9u6u7ujo6PDcD1Ar9fD3d2ds27AxEi7ePFibNy4EbNnzzbZgTH19fW4c+cOnj17JnjbgdDe3j7sR9bBJGR/+/v7IzU1FT4+PgB6bgw6ceIEXr16xbkN50jr5eWF1tZWgeX20Ol0+PHjh6CR9m/W/iA2HNvy3deAdUfaxMRE3kcyqVQKtVptCK1arca8efNM1so50spkMnR0dCAmJob3H97r2rVrcHZ2xqlTpwRvS4aXoqIiFBQUGP7BFAoFtm3bZvI8LecVscmTJ6Otrc2iQnQ6nUVzYcKPXq+HnZ0dvn//butS+i0uLg7Nzc3Iy8tDXl4ePn78aDKwgInpgZ+fHy5evGhRIRqNBmPGjDE6PRhqh1AxtR09ejTi4+NRVFQEAHB0dLTo/RmKWltb4e3tjZycHLNtTd6a6OjoiOLiYkF3enV0dCA6Ohpfv37lvQ3hj25NNLMs0sqVK1FXVyeow9raWixdurRfRRFuvXdBDdfAAmYet4mNjcXJkycFPbnw4MEDpKSkcJ6XG0qHWzG2VavVOHbsGO/3419k9sFGHx8fyGQy3g82KpVKztsSieXowcb/M7vCzP79+3Hp0iUolUqzneXn5yMoKAjt7e2iGbmGetuoqCi4uLggMDAQcrl82AcW4LkA3dKlS2Fvb29ysY7MzEx0d3cb3hRiHcNtsQ4+eC19mJOTg4aGBsPCc38rLS1FQ0MDcnNzrVrccNbV1YXMzEysXbsWWVlZFNjf8F7qs66uDps3b8bMmTOxdu1aSCQSaLVa3L17F2q1GnFxcbQAnZXaOjo6oqSk5J9dgK7feK8cxhjr6upiBw8eZFKplAFgUqmUyWQy1tXVJaQb8h+9Xs8aGxtZRUUFy83NZatXr2b29vYsKiqK1dTU2Lq8IYsWVbah4b6osqVo+XoiOjRcEtGh0BLRodAS0aHQEtGh0BLRodAS0aHQEtGh0BLRodAS0aHQEtGh0BLRodAS0aHQEtGh0BLRodAS0aHQEtGh0BLRodAS0aHQEtGh0BLRodAS0fkfvV3B+GDMyNsAAAAASUVORK5CYII=)
A liquid flows in a tube from left to right as shown in figure.
and
are the cross-sections of the portions of the tube as shown. Then the ratio of speeds
will be
![](data:image/png;base64,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)
Physics-General
Physics-
A ball of radius r and density r falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is h, the value of h is given by
![](data:image/png;base64,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)
A ball of radius r and density r falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is h, the value of h is given by
![](data:image/png;base64,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)
Physics-General
Physics-
In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the
![](data:image/png;base64,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)
In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the
![](data:image/png;base64,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)
Physics-General
Physics-
An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is
![](data:image/png;base64,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)
An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is
![](data:image/png;base64,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)
Physics-General
Physics-
A candle of diameter d is floating on a liquid in a cylindrical container of diameter D (D>>d) as shown in figure. If it is burning at the rate of 2cm/hour then the top of the candle will
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGAAAACHCAYAAADp2VwCAAAPh0lEQVR4nO2dX2wT157HP2dm/Cdx7CSklJI0gcKltxR2RasWFSoKrUTvfajEaqnoAw/QSqFqXtoqVVkkJERfKiGlhT7w0Oyq8EShRGr3dil/tECXtkgItbASElquuW5Ms5Q/iXH++P+cfbBnGCchxHZi+9z1RxrFY4/HZ853zjm/P2dOhJRSUqNiaJUuwP93agJUGKPSBSiG4dEx/vPMOa78989s+Kd/ZvnTf6x0kYpGyRZgmpJbd24xNBQhFk9UujgloaQA0pT8fvMmg4N3GB4eIZPJVLpIRaOkAHcHI0Tu3mVoaIjRsRixeLLSRSoaJQUYHIowHL1HIh4nGrkHqGtJKylALJFgdGyMVCrJ6NgIpmlWukhFo6QAwyMjJBIJfL56EskkKruSypmhyWSK0ZFh3G6Dp/74j2hCkM6kK12solGuBSSSSWKxOI/MaeGZFSuQJvx+626li1U0yglgSkl0OMq8eY/S3t6OZmik0rUWUDYypmRkeJR58+bh8Xhx6Trpmh9QPkzTJBYbo6GhAQEIAVLWBCgbv9+6w9joKL4GH1JKDJeBzKhrBiknQDKVQkgTj8sNQmAYBplMzQ8oG+lUGl+9F2+dFyklXo+XdM0RKx+JRAqXx4Xb7ckK4PXUgnHlJBaPYxgGLsOFlCYerwdp1saAshGLj+H1eNB1HRC4XQaZmhVUPlKpFA1+f67kEkN3oXIwSCkB4skkmq7hq6/PdTsCXddQeWKHUgIkEklcLhd13qwFJKVECNCEpqw3rJQA0jQxMwKv14OUOdNTAlIqmxNQSwApkUJguNwIRO5dE83QSSZTFS1bsSgmgCCTkbgMFwjsbkhKqawpqpQACBgbieP3N2AYOgAeT9YRU3UgVksAQEoTM2cBaZqG1+slnc4gFU3MKyWAQGDoYOZEELlgXCqZqLWAcmEYGrrIDsCmKYlGo6RSKUXvf8UEEALcukY6ncr5AIJ4PEEikVDWG1ZMgGxxH2lpQTd0EBIpM2TMDNhmqVooNS2lMeDD5fEw8L83iQwN4WvwkU6lME1AqwlQFjweD6HQX7l27X9oa2snmYrT2DIfTdQEKAsNfj+//naLS5cv0d8fpsEfYP2fl+JxKXcpgGJjAMD8x+ah1zUT7r9BKBSiZe7jPP54O16vt9JFKwrlbpsmfx2L//AU81o7qHPrPPX0chZ2tFa6WEWjnACmlAT8dSxatIS6OoP58x/FbSjXkG2UKblpmtwZjBAKDxAbvsuyp5fw9NKlmKk4weDfCF7/G3fuDJIpICz9yiuvoGnapNtjjz3G/v37Z/GKsghVnhO+9tcQwyPDRCJDpFMJXC4DDYHQNNxuD5qm42towO12s+QPiwo+fyQS4ZlnnuHMmTMsXLhwFq5gcpRoAb/fusvtWzcZiQ4S8Nfjb2igubGJuvp6DMOFxMTtNmhq9BOJ3GNwMFLwb+zdu5dQKMSBAwdm4QoeTNULIKWk/0aYZDKOx+PlkZZH8Pl8zGlpwev14vV60ES226ivr2fOnGZi8XhBvxGJRDh48CAA+/btIxQKzcalTEr1CwCk0ya6riOEwOVy4ff7mT9/Ph0dHfj9fjweDx6PByFyebICe9UDBw7w6aefAnDmzJmytgIlrCChZUPRpmly+/ZtNE0jHA4DMGfOHPu44eFh4ol4wT7BihUrWLdunf26qamJUChUlrFACQE0oduxtnQ6jd/vR4isIJFIBNM0GR0dJZVKYZomosCwhFX5FrVBeByals1+CSHQdZ10Ok0ikcDlcpFMJkmlsgn54eFh+7UqKCEAGrZ9bt35AIlEglQqZeeErS2dVkcEJQTQRLYFuFwuIGsZZTIZ0uk0MjcnKJ17TiweT3B3aGhGUpR79uzJDuxC0NXVVfL5JmNSAfbt20djYyN+v5/6+no8ucmwTzzxxKwU4mEIoWHmMmC6rqNpWu5Oz1a6lBJN03LHghBiRlKUH374Ie+88w6HDh2a0iu+efMmLS0tk26fffbZlL8x6SD87rvv8uabb6Lrur199dVXfPvtt6VdURFknwPTHFMRhb1Zd//4QXcmnfuTJ0/ywQcfTHlM9qFxH5cvX57wWXNz85TffaAVFAgE8vatO6zcSLDtetM0Mc2sT2BVsuUfWN1SoRbQVFy/fh2ARYseHtrQNO2hlT3p9wr+RpkRQtDg82HoBplMxr4RrAEZ7ndBHo8HwzBmLDt84cIFXn311Rk62+RUvwBAQ309LpcrW7m57icQCNh3vdU9GYaBy+XKazWl0N/fP+s+QdULANkcAAjbBJVSEolE7DEBsi3FagUz1Q2dPn2a1atX2/tdXV0zbg0p4QlnK1Tar/Mm5ea6H+fgnD2+NBEsEU+cOJH3fjAYLOm841FCgCz3BXAOts673e124/P5uDsYKXmaULnSJEp0QdnKFHZlOzNXVkVZf4UQaLqmzEw5JQSwepTxd6XV3VhdkDUmaEKvTEGLQAkBLCw/YDwThSlXiUpHCQGcFey0/a2/1mvLR1DpeTElBmFhSjQhEPr9ft/Z5ThDEzPpiJUDJVqApmsIoaHrBm63m+bm5tyT8owzPbHXkChkCD579mze/tdffz1TRX8oSrQAiSBjZkglk46Y//1QtJUrrqurIxYby1pNBSjgnA2xd+9empqaZudCJkEJAciFmLOrZcWy4QaHI2Z9lkwm7ZkShdjxW7dutUPtBw8e5MyZM7N1JRNQogvKDbt2N5NMTr5UsaZpGIaBr95XsCO1a9cuALZs2VLWFqCEABa6rlNXV2cPuBbO1gCyKC9269atrFu3jq1bt85giR9OQV3QxYsXK5IX+K9zPxLw+/JiPlZQzokQgkQiyb//5S/s+JftDA4OFvxbzmkuheB2u4v6XkECRKNRvvzyS9asWVPUjxXL6Fic0ZHhCfb9eF/ANE3GxsZYu3Ytly5dRtenf7NEo1HWr1/P0aNHaW9vL6h8N27cYOXKlQV9x0KJLiiblhR5A+74VGSes0bh3nBvby/hcJgjR47MTKGniRICILCfhB8ffIP8iKgQAlOaBS1fE41G7Yq3hCgXagiQw+pmnIkY630nmYxJqoClLA8fPszu3bsB6OvrK2srUMIPEFnjBilNOwHjHISd8SCbAiyh5cuXs2rVKgCWLVtGIBAgHA4XPBYUgxICSLJ9umneD7o5l6p0JmdEdi3jgkxRq/ItylHxFsp0Qdadb8f8c+awMxHjRJSYj9m/fz+tra20trayY8eO0k42BUq0gCz354SOr3RnNDRLcc6Yk66uLsLhMC+88AIbNmwo6VxToUwLsLBEcM4LAnC5XMTjcTtONBN8//33rFixYkbO9SCUEsCygqzN2RJM08TtdufmCZWeVP/1118BWLBgQcnlngqFuqAsDzJBTdPMraSesXPIpXDp0iXWrl1b2kmmgSItIGeHkq1o5xpxzr7fGaootQX89ttvZbGGlBDAqkpnPtjqjpzv26/HRUuL4YcffuC5556z93fs2DEr1pASXZBwhCGcg6/lkOXPjoZEPEGdr/ipKa2t2bUnxqcqz58/X/Q5H4QSAkjum5vO6YjWe/ZxUpLJZLsoSpgYMTAwUFJ5C0GJLmiysIJzKorTKRufrKl21BDAuskdA6/1uJJzLHB+pso6omoIcH8UtmdEOONBztkRuTG4ICs0Go1OuT+bKCGAZdlYWE9IOpkyMvoQDh8+bFd6NBrl+PHjJZZ4+ighAEy8o51ZsfzgXDZqWsj0xDfeeIONGzcC8N5779WiodPBaXqapommaaRSKTweD5omCsqIBQIBli1bZu+PD0/PJkoI4JwNYe07n5wH8p4hFkLgzj3UPV0++ugjADo7O2e28A9BCQG8Xg+pVAq32213N87AHNx3ykZGRnC73fbc0ano6emhra2NtrY2li5dihCC119/3X7v5Zdfnu1LU8QRk5JAIMDYWAxdy2TnimZMrNlyGdMkNTqKx+1FSoGUgvr6uoeet7u7m+7u7tm/gClQQgAhBD6fD5/Px/DwCAjBjz/+yO3bt1mwYAH/sHw5JqBrGrqm0dQUmNEHtmeTqu+Cenp68vb9/gb8DT7+/KdX+e7YfzA0eJfm5iZampv4t3/txe9vUKbyQQEBPvnkkwd+FgqF8jJWUx1brVSVAFeuXLFnKT8IK1FuRSynylhFo1F6e3tnJYo5U1SVAMuWLWPTpk20trZOKsTq1avZuXMnAwMD7Ny584EZq2g0Sk9PD+vXr6e9vb2sdn2hVHQQ7unpmdDHW/T29nL48GF7/8KFCwD2UgHWjIXxRKNRVq5caYcW3nrrrQnHVIP1Y1HRFtDd3c3AwEDedurUKdrb2+nu7ubUqVP2sRcvXsy74x80YyEQCHD16lV2795NIBDg1KlTE36jWiofqqwLCofD/PTTTxw9epTu7u68mExbW5s9U2H//v2EQqEp+//Ozk6uXr3KlStXuHLlyqyXvViqSoDGxkY6OzsnDYZt2LCBs2fP0traas9ebm1ttUV5EJs2bcqL81QbVeWIjV+lC+DJJ5+0XztThR9//PGUx6pCVbWAySjkicVyPt04U1S9AH/v1ASoMDUBKkxNgApTE6DC1ASoMFXlB0xGLBab9rF1dQ/PglUbtRZQYZQR4PPPP2fx4sV5WzmS5rONMgJs27aNzZs3s337doLBIMFgkIULFyovgjICAJw7d45nn33W3v/iiy/o7+/n4sWLFSxVaSgjQDgcpr+/P++pFYCOjo4KlWhmKFqAcudbL1++PKGyLVHmzZtXljJYnD9/fsbWkyhYgNHR0YrkWwcGBiasU/Tdd9+xefPmsk6mhezc0Xv37rF+/frShZDT5P3335dz586VXq/XemSxLFswGJTBYFC+9NJLct++ffb+5s2bZUdHh70fDAbLWi7n9uKLL8oCqjKPaf831W+++Ya3336bPXv2EAqF6Onpoa+vb9azTbFYjMWLF094f/v27Wzbti3vvXI6Yr29vRw5coRNmzZx4sQJbt68WdTS9tP2hNvb20kmk1y7do2uri46Ozvt5jfbIsz0mv2lcvz4cRobG+nr6+Pnn39m165d9PX1FXWugv6f8JIlS7h16xbHjh2b1j+2mQmqORTxyy+/sHHjRlatWsXp06eLOkdBAly/fp3nn38egNdee401a9awcuVK5s6dW9SPT4dqFODcuXMcOnSIY8eOsXbtWk6ePFn8yQodNK5fvy63bNkiH330UanresUGvkpuhmHI+fPnyz179hQ18BY1CNeYHZTxhP9eqQlQYWoCVJiaABWmJkCFqQlQYWoCVJiaABWmJkCFqQlQYWoCVJj/AzFZNg3VtBHoAAAAAElFTkSuQmCC)
A candle of diameter d is floating on a liquid in a cylindrical container of diameter D (D>>d) as shown in figure. If it is burning at the rate of 2cm/hour then the top of the candle will
![](data:image/png;base64,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)
Physics-General
Chemistry-
In Haber s process, (he ammonia is manufactured according to the following reaction:
The pressure inside the chamber is maintained at 200 atm and temperature at 500°C Generally, this reaction is carried out in presence of Fe catalyst The preparation of ammonia by Haber's process is an exothennic reaction. If the preparation follows the following temperature pressure relationship. for its % yield. Then for temperature T1, T2 and T3 the correct option is: 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)
In Haber s process, (he ammonia is manufactured according to the following reaction:
The pressure inside the chamber is maintained at 200 atm and temperature at 500°C Generally, this reaction is carried out in presence of Fe catalyst The preparation of ammonia by Haber's process is an exothennic reaction. If the preparation follows the following temperature pressure relationship. for its % yield. Then for temperature T1, T2 and T3 the correct option is: 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)
Chemistry-General
Chemistry-
Using above equations, Write down expression for K of the following reaction:![N subscript 2 end subscript O subscript 4 end subscript left parenthesis g right parenthesis rightwards harpoon over leftwards harpoon N subscript 2 end subscript left parenthesis g right parenthesis plus fraction numerator 1 over denominator 2 end fraction O subscript 2 end subscript left parenthesis g right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMoAAAAjCAYAAADVLpXiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAABDhJREFUeNrtW11kXEEUHrGiIkr1oVZViLUiViwVFVFRKiqqqvQhqqLKqqo+9KWqqk8hok9VpaqqIkJF9SGiVFRERKmKqIq+VFRVhKpVsSKkZ+yJrO2ZvXPnzp3Zu/d8fA975869c757zvycmRWCwbCPPPABcJWlYDDUmAKWgHssBYMRDA4UBoMDhcHgQGEwOFAYDA4UBoMDhcHgQGFYxk3gRMg6E1iP7U5XoKTVV0QfcMWw7jLWZ7vTESixavYHOKYo2wa2RWj0C+AmsAx8Bew1NKBo2IaTwCXDuueAh0LWsamlL7tNA6SeLeUrOeBXxQ2ybM3wpfLcz1tgPzqH5EXgBvBUiOcU0fgoWEIRwmIG+B04rHm/TS192u0aifAV2aBpjOA8UTZj8LL7wGeKsjMi3MG5SeCtiMbfNpizCtRjDXtHqUM24H6bWrq229eUKTG+8hB4Fxs1rigL61zrAVMMObQe0XzeO+BpRVkHirMFrABngU+INg8AF0JMGVQsB7TVppZx290MgZIoX3mNvZ0ghq3aMl080ojq9w0MooRqJ65ngItoaAZ5B7hLtLldw8ltwKaWru32ESiJ8pVvwOM1vd7ZmrL1mjJdfAF2BdzzA3hY83m7Dea14wp7qCnSjoMPb1NL13b7CJTE+EobZmL20YXza6pMBzp1MpgZiuowv4BHiff/Vdwfd6DY1jJuu3WmmiJC3aDnJcpXZEbhAzHUdSrKgqAz1F8W1T/5RJmCqNJ4qja7mHrZ1tK13a5HlET5yijwZd01uQdQUpTt9ww7OAfPEVG6E7A4WxbqlN8V4oNJZxusu3ZJISDV5qBFbTlCrxinlnHb7TtQTHzFm2aPgdeJiFrAslIDI+V2/2eibA54TVHvXoNUYAGN39NI+V0QdKp1irBHYP1JxXuzuNDewzlz3vDD29YybrubYY1i6ivONXsDHCFufi6q+wcjAYZWiGs5XLiO4RxToogNUxku038ruNit/2DUJpJc3G2Kgx3YIqb7fgKHiOfrbLydF9XNxRnDj25bS1d2+wwUE1/xotlvQR/RGEThGh3fGMKUG4UTonocQT5f5q2ncUhTYbamnPpgMoj6iJ5iA4fhT6K6e75FDOVhjnJ0YMCYIA4tXdntE2F9JVGaZTFyuy08S+a2rwb0bDoH3QqK0aDZD0U20jIJdg9iR1dGR1zFtWbqNcvj3DJr6Xm6i+Yb4uBoQQ/waU0b+tHIHmLOWmriINHRstntXsSFcSf+7sU2jaZZM/myeaG/AWQaOEHoxAWyzINvY5sKIlkw0TIpdncJ88O0LaHZPBGJPgKlFeBCS5+opFmzqP854EBxq6UvDIjox93TphkjZZDZvY/i/40/BoOBkPth8g9YwywFg0GjG4Mkx1IwGDTkAlueQOhgKRgMGsdE9axchqVgMNSYE62d5mYwrMDkLwmJwD/4YtgLPN1stAAAAVt0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+TjwvbWk+PG1uPjI8L21uPjwvbXN1Yj48bXN1Yj48bWk+TzwvbWk+PG1uPjQ8L21uPjwvbXN1Yj48bW8+KDwvbW8+PG1pPmc8L21pPjxtbz4pPC9tbz48bW8+JiN4MjFDQzs8L21vPjxtc3ViPjxtaT5OPC9taT48bW4+MjwvbW4+PC9tc3ViPjxtbz4oPC9tbz48bWk+ZzwvbWk+PG1vPik8L21vPjxtbz4rPC9tbz48bWZyYWM+PG1uPjE8L21uPjxtbj4yPC9tbj48L21mcmFjPjxtc3ViPjxtaT5PPC9taT48bW4+MjwvbW4+PC9tc3ViPjxtbz4oPC9tbz48bWk+ZzwvbWk+PG1vPik8L21vPjwvbWF0aD7Ni5FrAAAAAElFTkSuQmCC)
Using above equations, Write down expression for K of the following reaction:![N subscript 2 end subscript O subscript 4 end subscript left parenthesis g right parenthesis rightwards harpoon over leftwards harpoon N subscript 2 end subscript left parenthesis g right parenthesis plus fraction numerator 1 over denominator 2 end fraction O subscript 2 end subscript left parenthesis g right parenthesis](data:image/png;base64,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)
Chemistry-General
Physics-
P-V diagram of an ideal gas is as shown in figure. Work done by the gas in process ABCD is
![](data:image/png;base64,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)
P-V diagram of an ideal gas is as shown in figure. Work done by the gas in process ABCD is
![](data:image/png;base64,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)
Physics-General