Physics-
General
Easy
Question
A cyclic process ABCD is shown in the figure P-V diagram. Which of the following curves represent the same process
![](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/861660/1/4575349/Picture14.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/861660/1/4575350/Picture15.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/861660/1/4575351/Picture16.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/861660/1/4575352/Picture17.png)
The correct answer is: ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/861660/1/4575349/Picture14.png)
AB is isobaric process, BC is isothermal process, CD is isometric process and DA is isothermal process
These process are correctly represented by graph (a).
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Physics-
A cyclic process for 1 mole of an ideal gas is shown in figure in the V-T, diagram. The work done in AB, BC and CA respectively
![](data:image/png;base64,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)
A cyclic process for 1 mole of an ideal gas is shown in figure in the V-T, diagram. The work done in AB, BC and CA respectively
![](data:image/png;base64,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)
Physics-General
Physics-
In the following indicator diagram, the net amount of work done will be
![](data:image/png;base64,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)
In the following indicator diagram, the net amount of work done will be
![](data:image/png;base64,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)
Physics-General
Physics-
An ideal gas is taken through the cycle
, as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J, the work done by the gas in the process
is
![](data:image/png;base64,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)
An ideal gas is taken through the cycle
, as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J, the work done by the gas in the process
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKsAAAB4CAYAAACNQgKYAAAT50lEQVR4nO3dfVBU1/3H8ffyvICACwYXEImAgCggKOJTCkGrmABpWrUxJLU2aidtTYZmnLbTiTStk2bsOLVqidGmiY6xpYGUGiBVA4oCJoISBFEC8iAPAZeHBQFZ2L2/P6j7i9EoKMvuynnNMKPc3Xu+Fz8c79577jkySZIkBMEMWBi7AEEYKRFWwWyIsApmQ4RVMBsirILZEGEVzMZDh3XdunUcPXp0LGoRhHuSmcp11sHBQaytrY1dhmDCTOI0YGhoiMzMTG7evGnsUgQTNuqwfvXVV5w6dYr29vZRvW9oaIgzZ85w6dKlO7aVlpayZcsWzp49O9pyhAnE6pvf6O3t5ciRIzQ0NACQkpJCWVkZGRkZ2Nra0t/fj6urKwEBAaNqSJIkGhsbOXHiBN///veZM2cOABqNhgMHDtDa2srevXuJiIhg0qRJY3BowqPmjp61r68PjUZDamoqHh4eyGQyYLhHrampoa2tjcTERKZOnXrfnbe1tVFdXc0nn3yCRqMhPj6eqVOnkpGRoX9NSUkJnp6eWFhYEBkZyenTp8fw8IRHyR09q4uLC0lJSezatYvY2FgkScLW1pbIyEhUKhW2trZMnz6dkydPsmfPHhYtWsT58+dRq9UEBwdz/fp1hoaGeOWVVxgYGMDBwYGKigo8PDwICQlh9uzZXLp0ifr6eqZPnw7A+vXr2b59Oxs3bqSmpoauri5cXFzG/YchmLY7elZra2ucnJzw8vKisbERjUbDJ598QnR0NBqNBjc3NywtLfH29iYsLIw333yTjRs38sQTT3DmzBlWrVrFzZs3qaysJDQ0FBsbGz7//HNmzpwJgJOTE3Z2drS2tgIQHh6Ol5cXMpkMFxcXQkJCxGmAcFff+gHr8ccfp6mpifPnz7N06VIcHByG32Bhod+u0+nYsWMHUVFRKBQK1q5dS2hoKGFhYcyYMYOhoSH8/Px48cUX+fDDDwGQyWTIZDJ0Oh0Atra2+lMNGP5lsbS0NNgBC+brW8Pq4+NDVVUV2dnZzJs3Tx+oW5dlZTIZ+fn5REVFodVqKS8vJzw8nKamJmQyGUqlkgMHDlBVVYVKpSIoKOi2/X89oIIwEt8aVm9vbw4dOsTLL78MgL29PTY2NrS2tqLT6bhx4wYdHR14e3vT29tLaWkpgYGBNDY2cvnyZdRqNVu2bEEmkxEbG0tERAQA3d3d9Pb2olAoxucIhUfGt4Y1ODiYnTt34uHhAQyfa/r6+tLQ0EBjYyO1tbX88Ic/xMrKip6eHkJCQnB1dcXNzY3Ozk6Kioq4ceMGQUFBeHl5AdDf38+VK1ewtbXV71cQRmpUt1ubmppIS0vDxsaGtWvX4ubmNuKGBgcHyc7Opri4mMTERObNm3fbdrlcTn9//8grFyacUd3B8vT0ZPXq1fj4+KDVakfdmFwu59lnn70jqIIwEiYzkEX0rML9mMRAFkEYCbMMa3l5OTNmzNB/rVq1iitXrhi7LMHAzC6sH3/8Md/73vd49913qaqq4te//jWLFy9m8uTJxi5t3P3rX//C398fa2trrK2tsbW15Xe/+52xyzIcyUTY2dnd9zUDAwPS7Nmzpby8PP33KioqpJMnT0rd3d2GLM9k/fa3v5UyMjIkjUYjpaamSiEhIcYuyWDuGMhiyvLy8lCr1URHR+u/N2vWLCNWZFwDAwOUlpbi7+/PhQsXyMrKeqR7VrMKa3l5OUql0thlmIwrV65gb29PWloadnZ2rFmzhtDQUGOXZTBjHta6ujp9D+ju7k58fDyOjo5jsm8/Pz/a29uprKwkKCiIrq4uzp07h6+vLzNmzBiTNsxJQ0MDUVFRJCUlMWXKFJYtW8bVq1fZtm2bsUsziDENa3d3N5mZmXzxxRcEBwfz17/+FWdnZ1auXKkfrfUwoqOjWbZsGcnJyQQHB2Nra4u7u7tRgypJEiqVimvXruHr64uzs/O4tV1bW4uTkxNyuZyGhgY6OjpwcnIat/bH25iG1dramujoaJ566in8/Pw4e/YsKpVKP1LrYTk7O/P6669z5swZ/d/DwsJwd3cfk/2PVm9vL8XFxZw4cYKYmBhsbGzGpd2bN2+Snp7Ovn37cHR0JCcnh66uLmJiYli7du241GAMBruD9fvf/x5LS0vWr1+PUqm8Y0hgcXExu3fvprq6GoCzZ88SFRWl375w4UJeffVV/SCYb6qvr+cvf/kLRUVFwwdihCGHg4ODdHZ20t7ejpeXl/50xxC1FBQU6P+s1WppamqiqanpttfMnDkTV1fXMW/bVIx5WOvq6ti+fTvz589n3bp1ODg43PUfb2BggK6uLgYHB4Hh89FbwQWws7PDxcUFK6u7d/5DQ0Ncu3aNtLQ00tLSiI2N5aWXXsLe3n4sD+eeKioq2Lt3L42Njbz55ptMmzYNOzu7Me9hIyIi9E9WTGhjeR2sqalJeumllySZTKb/WrdunTQwMHDf947kOuu3uXjxorRu3Tpp+fLlUn5+vqTT6R54X6Ol1Wqlqqoq6fDhw1JjY6NB2lAqlQbZr7l5pAayZGZmsn37dp544gk2bNjA448/jlwuH6MKjcfDw4Pm5mZjl2F0Zne79V4SExPJz8/Hw8OD5ORk3n//faqrq8VorkfEI9Wz3qLVaqmoqCA9PZ2Ojg4WLlzIokWL8PLy+tZzYFMmetZhj2RYb+nu7qagoIDCwkL6+/tZvHgxsbGxZnctUoR12CMd1luam5vJzc2lrKwMnU5HYmIiS5cuNUhbhiDCOmxChBWGL3XV1taSm5vLZ599hre3N88999yo5+wyBhHWYRMmrLf09fXR3NxMRkYGhYWFxMfH8+yzz5r0eFgR1mETLqy39Pf3U1tbyx//+EeuX79OSkoKkZGRJjn5hgjrsAkb1lv6+vrIzs4mNTWV8PBwXn31VZRK5ZgMvBkrIqzDJnxYb6mvr+fvf/87ZWVlJCQksGrVKlxdXY0+75ZOp8PT05Nr166Z5WW3sSTC+g1FRUXs27cPBwcHVq5cyfz580c0F62h1NTUEBUVxccff8yCBQuMVocpMJ3/60zEwoULOXDgADExMRw+fJj9+/dz6tQpOjo6bntdX1+fwWsZGhrivffeo7e3l127do1Lm6ZMhPUurKys+MEPfsCf/vQnlEol6enp/O1vf6O4uFi/SEdZWRlqtdqgdVRVVTE4OIhMJsPNzY3CwkKDtmfqxGnAfQwMDFBZWUlBQQHl5eUoFAr8/f0JDg4mJyeH119/3WBtFxUV4eTkxJNPPkl5eTkVFRWEh4eb3R24sSLCOkLd3d2UlZVx9OhRjh07hkKh4IsvvuCDDz7gu9/9rkHa7OnpQS6X4+3tTXNzM/39/VhYWGBra2uQ9kzdxP54OQpOTk4sWrQIHx8frKysePvtt+no6GDr1q0EBATo10cYS9+crv5RGO74MMQ56yhYWFgwefJk1q5dS2ZmJikpKfT19bFz505aWlqMXd4jT4R1lBwcHAgJCWHJkiVs27aNkpISLC0tSUhIID09nb6+Pv16CcLYEuesY2BwcJDPP/+cd955B7lczosvvkhwcDBOTk5jcvtW3MEaJsI6hlQqFUePHqWgoABfX19WrFjBrFmzsLOze6j9irAOE2E1gMuXL/PRRx/R0tKCt7c3q1ateqg5uURYh4mwGogkSRQVFfHPf/4Ta2trQkNDiY6OZtq0aaPelwjrMBFWA1Or1Zw9e5ZTp04xMDBATEwMS5cuHdU0QyKsw0RYx4FOp6O5uZmSkhKys7NxdHRk/fr1zJo1a0SjukRYh4mwjiONRkNzczPHjh0jPT2d2NhYfvGLX9z3Yr8I6zBxnXUc2djY4OPjw4YNG/jzn/9MQ0MDK1asIDs729ilmQXRsxrZ8ePHeeONNwgMDOTnP/85QUFBd8yVJXrWYaJnNbLly5eTn5/PnDlzSE5O5p133qGmpkY/FFH4fwbvWb/88ksUCsV9p2KcqD3rLTqdjurqag4ePEhrayvLli1jwYIFeHl56UddTXQGC6tarebEiRO89957JCcnExMTc8/XT/Sw3nLjxg2KiorIzc1Fq9WyePFifvKTn6BSqYxdmtEZbIigVqvVX2N8kHVeJypHR0eWL1/O7NmzOX36NEVFReKU4H8MFlaFQsGGDRt466237rr90qVLHDlyhIaGBmB4MMiPfvQj/fbQ0FCef/55o03BbmxKpZI1a9Ywd+5csdz9/xht8LVSqSQhIYHe3l4A/vGPf/DjH/9Yv12hUEzYxze+zt/f/4Fu0T6SDDJFsSRJtbW10jPPPCNZW1tLHh4e0vvvv3/P1z/MzNcTRUdHh7Rr1y7p6tWrxi7FKAz2AUuSJAYHB/UrtVhZWd3z1qL4gHVvOp2O1NRUUlNTOXDgwG2LhUwUBjsNkMlk47bUzkTQ09NDfX09cXFxtLW1GbscoxA3BcxAb28vmzZtIiEhAVtbWxobG41dklGIp1vNwPHjx9FoNOzYsQOVSkVYWJixSzIKEVYTV1JSQmdnJx999BFarZacnBzeffdduru7J9zVEnEaYMIyMjLYunUr+fn5dHR0UF9fz+HDh7lw4QLp6ekT7maBGHVlwoqLi6mtrUWr1fL000/T39/Pp59+CgyvyBgaGoq1tbWRqxw/IqyC2RCnAYLZEGEVzIYIq2A2RFgFsyHCKpgNEVbBbIiwmoG8vDxjl2ASRFjNQEpKikH3397ezn/+8587VqQxNSKsZuDLL7806P4nTZqEp6fnPR9DMgUmcwfL3d3d6Kv5marW1laDP4um1Wrp6OjAxsYGf39/cnJyUCqVBm1ztEwmrMK3G48ZWWpqati8eTMLFixg8+bNeHt7G7S9ByHCagYMHdaOjg4KCgrw8/MjICDApBZZ/jrTrEq4jYuLy5jvc2BggKtXr9La2oqDgwNxcXEEBQXdN6glJSUMDQ2NuB2NRkN1dfWYPIojBl+bgS1btjzQ++rr67lw4YL+cXeA8PBwfH19OXPmDLm5uaxYsQK5XE5VVRWBgYGEhYUhk8koKiqirq4OhUJBREQEjz32GA0NDezevZs9e/bg6Og4ohr6+/vJyspCp9OxZs0aPD09H+hYQPSsZuGnP/3pA71PrVbzwQcfkJGRQWlpKRkZGfzqV7+irq6OtLQ0li5dSmRkJLW1tezYsYPk5GR6e3vR6XScO3eO/fv3c/HiRf0Cx1lZWfzsZz/D3t7+nu12dHTQ2NjIuXPnsLOz47nnnqOnp4ecnJwHOo5bRM/6CAsJCSEgIIB58+bx9NNPc+rUKeLi4ti8eTNqtZrvfOc7yGQyli1bxvXr1zl06BB5eXkkJCTwzDPP4ODgQFJSEnK5nMrKSmxsbGhtbeWXv/wlkZGRXLp0CY1Gg7e3NyqVCktLS1544QWamppwdHSkrKyMoaEhFi5cSHBwMOfPn0elUuHm5vZAxyN6VhNUWlrK8ePH6enpAeCzzz4jMTGRxMREXnvttRGvxq1SqdBoNLi4uGBpacnhw4dJSkqira0Nd3d35HI5tra29PT0EBUVxSuvvMIbb7xBW1sbTk5OODk5IZfL6e3tpbi4mDlz5jB16lT6+vpISUnBz8+Pnp4esrKycHV15eTJk1RXV+Pn54eVlRWTJk3SB3PKlCnodDpaW1sf+OciwmpCent72bdvH6tXryY3NxeNRkNbWxsvv/wyKSkp/OY3v+Gxxx7j7bffHtH+6uvrKS0tZdOmTYSHh+Pn58cf/vAHNBrNbWtz1dXV4ezsTEJCAqGhoezfv5/29nYUCgUw/KHKzs6OmTNnEhoaikKhYNOmTcTHxzN79mxWrlzJ0qVLmT9/PgqFgk8//ZTs7GxaW1sZGBgAhic5kclkDzVJnzgNMCH29va88MILtLS00NXVBcDFixdRKpXMnTsXSZLo6+tj9+7ddHZ2Mnny5Hvur729nZiYGJ566imUSiWOjo53fWZrYGAAmUyGg4MDW7duJTIyEnd3d+Li4rhx4wZNTU14enri7OyMTCYjLy+PQ4cOMTg4SEtLC3FxcXz11VdMmTIFd3d3AgMDkSQJmUw2ps+IiZ7VhMhkMuzt7W/7APP1BYxlMhkWFhb09fXR3d19z31ptVquXLmCpaUlPj4+uLm5YWdnh0wmw83NjcbGRnQ6HRqNhvLyclpaWpAkicDAQJKSkti5cydeXl6Ul5czNDTE3Llz9T1jdXU1/v7+9PT0cPnyZWbOnElVVRXd3d1YW1tjZ2eHvb09crkcK6vh/rC7uxutVjviqwh3I3pWE6LT6ejs7ESlUtHV1cX169eJiYnhrbfeoqqqCo1GQ0lJCUuWLLnvkvFZWVns2bMHgIiICJ588klgeGXvsLAw9u7dy+nTp/n3v/9NdnY2p0+fZvr06UybNo3XXnuNyZMn09PTQ0tLC0qlUr+cfGFhIatXr0aSJNra2nB0dMTNzQ0LCwuOHDnCpEmT2LRp023Lz2s0Gq5evYqFhcVD3TYWd7BMSF9fHx9++CEHDx4Ehtcb2LhxI5WVlWzbtg2AgIAAtm/f/lA3Cnp6ejh48CBdXV1s2LDhrmMAJEni4sWLFBYW8vzzz98WvtHQaDScPHmSvLw8EhMTH2pCORHWCaq9vZ1jx44xbdo0lixZcsd2tVrNkSNH8Pf3JzY29oHbUavVZGZm4ufnx6JFix6mZBFW4e46Ozv573//S3x8PA4ODsYuBxBhFcyIuBogmA0RVsFsiLAKZkOEVTAbIqyC2RBhFcyGCKtgNkRYBbMhwiqYDRFWwWyIsApmQ4RVMBsirILZEGEVzIYIq2A2RFgFsyHCKpgNEVbBbIiwCmbj/wBQ7peypgvNTAAAAABJRU5ErkJggg==)
Physics-General
Physics-
The P-V diagram of a system undergoing thermodynamic transformation is shown in figure. The work done on the system in going from
is 50 J and 20 cal heat is given to the system. The change in internal energy between A and C is
![](data:image/png;base64,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)
The P-V diagram of a system undergoing thermodynamic transformation is shown in figure. The work done on the system in going from
is 50 J and 20 cal heat is given to the system. The change in internal energy between A and C is
![](data:image/png;base64,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)
Physics-General
Physics-
In pressure-volume diagram given below, the isochoric, isothermal, and isobaric parts respectively, are
![](data:image/png;base64,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)
In pressure-volume diagram given below, the isochoric, isothermal, and isobaric parts respectively, are
![](data:image/png;base64,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)
Physics-General
Physics-
Four curves A, B, C and D are drawn in the adjoining figure for a given amount of gas. The curves which represent adiabatic and isothermal changes are
![](data:image/png;base64,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)
Four curves A, B, C and D are drawn in the adjoining figure for a given amount of gas. The curves which represent adiabatic and isothermal changes are
![](data:image/png;base64,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)
Physics-General
Physics-
P-V plots for two gases during adiabatic process are shown in the figure. Plots 1 and 2 should correspond respectively to
![](data:image/png;base64,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)
P-V plots for two gases during adiabatic process are shown in the figure. Plots 1 and 2 should correspond respectively to
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIwAAABwCAYAAADMkJhcAAALcElEQVR4nO3df0zU9QPH8Sfc8eMAbwgeiJgKXXZkC5WZEGgWswll1khhI0CwLDapcFOzOW25lm2khVuuLXBqrTOJheUxsmgKbSLSHQScWkTqBgphXgOOn3ffP5wsv0bykYPjc/d+/Ad3n/fn9cdr78/n3p/Pfc7DbrfbEYQx8nR2AEFeRGEESURhBElEYQRJRGEESURhBElEYQRJRGEESRxamL///tuRwwlTkMMK09PTw549e7BYLI4aUpiCHFYYvV7PoUOHOHXqlKOGFKYghxSmu7ubwsJCOjo6KC4u5vr1644YVpiCHFKYkpIStm/fzowZM3jllVfELOPCPBxxtbq2tpaYmBgiIyO5cOEC165dQ61WExgY6IiMwhTikMIA2Gw2IiMj+eOPPxwxnDBFiXUYQRLlaC+YTCZMJhP9/f0AeHt7k5CQwAMPPDBp4YSpZ9QZxmq18vnnn2Mymejs7MRgMFBQUEB3d/dk5hOmmFFnmLi4ONRqNa+//jo6nQ69Xk9BQQFK5aibCG5g1BnmypUrqFQq1Go1cHNhLiUlBV9f30kLJ0w9o04Xzc3NmEwmli1bhlKpZOvWraxdu3YyswlT0KiFaW9vJzc3l9TUVPz9/fH29kahUExmNmEKuuOQZLfb6e7upqamBrVazbRp01CpVKIsAvAvhenp6eGjjz7izJkz7N27lz///NMZuYQpSqz0CpLIYqV3cHCQ/v5+xJc0nU8WhSkpKWHXrl0YjUZsNpuz47g1WRTmxx9/5Ndff2XXrl2cO3fO2XHcmiwKo1KpeO6551i1ahW5ubn8/PPPzo7ktmSxzj9t2jSUSiUvvvgifn5+ZGRk8MUXX/DII484O5rbkUVhZsyYgcViQaFQkJWVhc1mY8OGDRw5cgSdTufseG5FFoekkJAQrl+/zsDAAJ6enmRkZJCZmcmbb76J2WwWJ8KTSBaFmTt3LteuXbvt3pysrCwSEhLYt28fZrOZ4eFhJ6d0D7IpzNWrV7FarSP/U6vVZGVlodVqKSoqorGxkaGhISemdA+yKExoaCgAbW1tty3eaTQaMjIyCAkJobi4mIaGBjHTTDBZFMbLy4vo6Gjq6+vvKERYWBjr168nPDycAwcOUF9fL1aEJ5AsCgOwePFiTCbTv84gM2fOJDs7m6ioKHbv3k1DQ4MTEroH2RTmscceo7m5edSr5xqNhpycHFauXEl2djZ1dXWTnNA9yKYwarWaRYsW8f3334/6nsDAQLKzs8nLyyM7O5uTJ09OYkL3IJvCAKxatYrjx4//53tUKhXr16/ngw8+4J133kGv109SOvcgu8IYjUYuXrz4n+/z8PAgMTGRwsJCvv32W4qKiujt7RUnww4gq8IolUo2btxIUVHRXd/r6enJokWL2LlzJw0NDezfv59Lly6Jj93jJKvCAKSmpnLq1Ck6OjrG9P758+eTl5fHX3/9RWFh4b9+NBfGTnaFiYiIIC4ujqNHj455G61Wy6ZNmwgICKC4uJjy8vKRywyCNLIrDEBmZiZVVVW0traOeZvZs2fzxhtvsHLlSiorK3n33Xcxm80TmNI1ybIwOp0OnU5HWVmZpO2CgoJYs2YNGzZswMvLiz179lBWViauQUkgy8L4+vry7LPPUl9fz/nz5yVvv2DBAjZt2kROTg7l5eXs3LlT0mzlzmRZGA8PD7RaLfPnz6e0tPSePi5Pnz6dZcuWsXXrVhQKBdu2baO6ulrcW3MXsiwM3FzVTU5Opr29/Z6fqefp6UlkZCRvv/022dnZ7Nixg82bN4/5E5g7km1hAKKionjooYc4fvw4V69evedxFAoFSUlJHD58mODgYNLS0ti7dy+dnZ233YMjuMA3H1taWvj000+JiYlh9erV+Pj4jHvMxsZGDh06RGtrK48//jjx8fGEh4cTFBSEl5eXA1LLl+wLA/DDDz9QWlpKeno6S5cuddiDA+rq6qioqMBsNqPVaomKikKr1TJr1iw0Gs2Y9lNfX8/s2bMJDg52SCZnk8W3Bu4mPj6epqYm9Ho98+bNY9asWQ4ZNyYmhoULF3L58mWqq6upr6/HaDSiUqkIDQ0lMjKSmTNnotFomD59+m2zW1dXF19//TWHDx/m/fffF4WZSnx9fUlNTaWgoIAvv/yS1157DU9Px5yeKRQKIiIiiIiIwGKx8Ntvv9HS0sKlS5eoqqrCZrMxODgI3FznefLJJ1myZMnI9jU1NQ7JMVW4xCHpltbWVnbv3s2KFSvIzMyc0H319PTQ3t7OjRs3sFgs3Lhxg97eXqKjo2/7gp1area7774jNjZ2QvNMFpeYYW6JiIhgy5Yt5Ofn4+fnxwsvvDBh+/L390er1Y78fWumcdTMNmXZHWR4eNg+d+5cRw13z2w2m91oNNpjY2PtFRUVTstx/vx5e2xsrN3Dw8N+33332fV6vdOyOJLLFeaWiooKe3R0tL2mpsbZUVyKy86fK1asIC8vj+3bt1NVVTVyYiqMj0udw/yTt7c3aWlp2O12Pv74Y6xWK8uXLxfPGR4nly0M3DwxTUtLw8fHh5KSEgYGBkhMTESlUjk7mmy5dGEAAgICSElJwc/Pj/Lycnp7e1mzZo1DLiG4I5cvDICfnx/PPPMMgYGBGAwG2trayMjIcJnV18nksie9/8/Hx4cnnniCl156ia6uLl599VVMJpOzY8mO2xQGbt7/EhUVRV5eHitWrGDbtm188803zo4lKy51aUCK/v5+amtr+fDDD1myZAk5OTloNBpnx5ry3GqG+ScfHx8SEhIoLCzEbDazbt06ampqxC2ad+G2M8w/9fT0cOLECY4dO8ajjz7K2rVrmTNnjutfF7oHojD/YDabOXDgAIODg6xbtw6dTkdYWJizY00pojD/p7+/H4PBQFlZGXPmzCEhIYGHH37YYTdlyZ0ozCiuXLlCZWUldXV1BAUFERMTw9KlSwkJCXF2NKcShfkPdrud33//nTNnztDQ0IBSqSQuLo7ly5eP/BamuxGFGYOBgQEuX77MuXPnOHv2LL29vcTFxZGcnOx2H8VFYSTo6+ujs7OTxsZGTp8+TWVlJU8//TQpKSksWLDA2fEmhSjMPRgeHsZqtdLR0cHRo0cxGAzcf//9vPzyy8THxzs73oQShXGAnp4ejh07htlsJj09feQm8KGhoZGHFykUCpf4kXhRmAlitVrJzc3lp59+wsPDg9jYWD755BPZ34sjljInyIULF/D39+eXX36htraWmpoajEajs2ONm5hhJsHBgwdpamoiPz+f8PBwZ8cZF/kfVKewlpYWSktL6enpYfPmzS6xWiwOSRPk1o+avvXWW3R2drJv3z5Onz7t7FjjJg5JE6Srqwuj0TjyfBlvb28efPBB5s2b5+Rk4yMKI0giDkmCJKIwgiSiMIIkojCCJGIdxkUNDQ1RX19PY2MjAKtXr2Z4eBiDwYBSqSQqKorFixdLHlfMMC6qr6+P5uZm3nvvPQwGA/39/fT19fHZZ59hNBpH/SnEuxEzjIvy8fEhOTmZyspKEhMT0Wg0WCwWkpKS2LhxIwEBAfc0rphhZO7s2bO0tLTc8X0qLy8vgoODCQsLw2KxMDAwgF6v5/nnn7/nsoAojOzpdDoOHjxIfn4+bW1td7weGhqK1WqloaFh5Gmg4+GwQ5KHhwdPPfUUQUFBjhpSGKPe3l5sNhtHjhxh//79pKenj7wWEhLCxYsX+eqrr9ixY8f4dzYZz0UTJo7FYrFv2bLFnpycbG9oaLjj9ZMnT9qjo6PtJ06csA8NDY17fw67liRMvr6+PqqrqwkMDGThwoX/egtoU1MTRqORpKQkhzwPRxRGkESc9AqSiMIIkojCCJKIwgiSiMIIkojCCJKIwgiSiMIIkojCCJKIwgiSiMIIkojCCJKIwgiSiMIIkojCCJL8D6ezwndeld0KAAAAAElFTkSuQmCC)
Physics-General
Physics-
A thermodynamic process is shown in the figure. The pressures and volumes corresponding to some points in the figure are :
and ![V subscript A end subscript equals 2 cross times 1 0 to the power of negative 3 end exponent m to the power of 3 end exponent comma V subscript D end subscript equals 5 cross times 1 0 to the power of negative 3 end exponent m to the power of 3 end exponent](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQoAAAAVCAYAAAC+PKAzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAA/RJREFUeNrtW2FkVWEY/sw1MzNmMjMTSSZJZGZmP8bMJJmYmSSJSb8ykST7tT9JkkSSSTIykySRZDKJSSZJTPYjmbjSj8yM9b7uM33dnXPu+e753nvP2X0fHu597+537vne57zf+77fN2MU1cYWuEH8SBzK2PgK1YqiwugirmZ4fIVqRVEB1BHzGR5foVpRCKOVeId4NqPjK2pEK2+JR0K+2I2apZLoI84Rf1s10ynhax4gXitxr83Eu8T34D3Ywuq9IIb97Wnh2tbH+GnTietcq1YSamWGOBby2WviYIWdv0AcJzbh/UHiImxSeEScKCEwnosT1vvjsCUFC2ga15eAr/HTphMjHBBUK0U4Q7wZYO8nvklJyrWXuFxF4Y0SbwfYb3kMYOvC95Z0/DTqZKuKmqw5rbCj5wPs74iHU1SfRU3OVdD1s7jO51IoaMtoAJ8lBftgKcA+RbxMbIP41og/iMfweQse3jxKtSuO47v+xrTppJxAoVopUys5s7PLOUx8LFg/utaRvSg/XAXg4vgo5/P81AfY6+GQJPPDAfAlsqZiPIEAlrAa5fB334jtKNPGYO/EWG0O47tASidJtFJuRqFaKVMrX4gN1vslD8LyhQY0hPocBeDq+Cjnb0Z8Z0Pw3r+itm0psn8n3g+xtwv+nrTpZPuQEK+QL4iTVm9LtSKglVkrReEa60ZKggTf3FPjdlKMHf6qDMeX63ypepH3s/8QGx3tkkirTniVPGoKuxEczLpUKzJauUQ8j9e8erdWMZ3cxj4Eif1lpJW+nb8Wkk42JEgnS6HHBDcJXe0+IaET32XqENJs1YqAVnj75qEpdLbjTtokKIEupEuNCWpPn+nkHOrxIFHOCc0B15kzHuw+EVcnU9YDzivsTzTSchXKMNZVKzJa4ZWBu9eLRTVo1Gq/IrSCtaExk0sQJHw3qE4icBVjxsid7+DO9YQHu0/E1Qn7b8RKc3ugl+kKBIlDuJZqRUgrvxy+vICakLdfmj3f9HOHGjOOk31seRkExYsIYPUYc0FQ8PNWPyCJParfsGU90D51wo21zoAVdVVgjnoRjOqwkq/gYVWt+NPKf4gb7Vkk1/H6gQk/rSdRr0ohzrVacL/raATxsdwmwd+UD1m1Xe2+A0UpnYQ1ypoQZHxiFEFpE/fPmUy3cMZSi1pxBm+nfLAuMgLBKbKJ2SQrSwiq2WxVpARcFvRb74MO4SiyAf4Hr0/Gf4MxrFHGpwandNp3P8YjSoIBnZ7MocP8O5nnE9woO1dk22MKJwQ7dNp3N9jRy2bn6S7GBatnoVBwo2zY6lcMInMZ1amp7VqWt0o/6xQpgLyVaXIj75kp7EwoMoi/ezC2yjowBCwAAAGodEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPlY8L21pPjxtaT5BPC9taT48L21zdWI+PG1vPj08L21vPjxtbj4yPC9tbj48bW8+JiN4RDc7PC9tbz48bW4+MTwvbW4+PG1zdXA+PG1uPjA8L21uPjxtcm93Pjxtbz4tPC9tbz48bW4+MzwvbW4+PC9tcm93PjwvbXN1cD48bXN1cD48bWk+bTwvbWk+PG1uPjM8L21uPjwvbXN1cD48bW8+LDwvbW8+PG1vPiYjeDIwMDQ7PC9tbz48bXN1Yj48bWk+VjwvbWk+PG1pPkQ8L21pPjwvbXN1Yj48bW8+PTwvbW8+PG1uPjU8L21uPjxtbz4mI3hENzs8L21vPjxtbj4xPC9tbj48bXN1cD48bW4+MDwvbW4+PG1yb3c+PG1vPi08L21vPjxtbj4zPC9tbj48L21yb3c+PC9tc3VwPjxtc3VwPjxtaT5tPC9taT48bW4+MzwvbW4+PC9tc3VwPjwvbWF0aD6JPE2FAAAAAElFTkSuQmCC)
In process AB, 600 J of heat is added to the system and in process BC, 200 J of heat is added to the system. The change in internal energy of the system in process AC would be
![](data:image/png;base64,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)
A thermodynamic process is shown in the figure. The pressures and volumes corresponding to some points in the figure are :
and ![V subscript A end subscript equals 2 cross times 1 0 to the power of negative 3 end exponent m to the power of 3 end exponent comma V subscript D end subscript equals 5 cross times 1 0 to the power of negative 3 end exponent m to the power of 3 end exponent](data:image/png;base64,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)
In process AB, 600 J of heat is added to the system and in process BC, 200 J of heat is added to the system. The change in internal energy of the system in process AC would be
![](data:image/png;base64,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)
Physics-General
Physics-
An ideal gas of mass m in a state A goes to another state B via three different processes as shown in figure. If
and
denote the heat absorbed by the gas along the three paths, then
![](data:image/png;base64,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)
An ideal gas of mass m in a state A goes to another state B via three different processes as shown in figure. If
and
denote the heat absorbed by the gas along the three paths, then
![](data:image/png;base64,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)
Physics-General
Physics-
The P-V diagram shows seven curved paths (connected by vertical paths) that can be followed by a gas. Which two of them should be parts of a closed cycle if the net work done by the gas is to be at its maximum
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)
The P-V diagram shows seven curved paths (connected by vertical paths) that can be followed by a gas. Which two of them should be parts of a closed cycle if the net work done by the gas is to be at its maximum
![](data:image/png;base64,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)
Physics-General
Physics-
V diagram. The work done during a cycle is
![](data:image/png;base64,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)
V diagram. The work done during a cycle is
![](data:image/png;base64,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)
Physics-General
Physics-
A system goes from A to B via two processes I and II as shown in figure. If
and
are the changes in internal energies in the processes I and II respectively, then
![](data:image/png;base64,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)
A system goes from A to B via two processes I and II as shown in figure. If
and
are the changes in internal energies in the processes I and II respectively, then
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMkAAACRCAYAAABpG5yfAAAVAUlEQVR4nO3de1BU5/kH8O+CXHaXyy67sOtCJALLFq8ooAEpVYGoaHPxUps2KqO1JnXGNp10Wmea0nQ6ySSpdpJOGVNl0gEyqZhMrJBoYr0EIVpEwISLEBAEue4Cwi67LHt5+oc/mfBL4kEEdtHnM3NmEfc977Or3z3n7DnnfUVERGCMfScPVxfAmLvjkDAmgEPCmAAOCWMCOCSMCeCQMCaAQ8KYgFlf/0NOTg6Ki4vhdDpHf5eYmIgdO3ZAKpVOe3GMuYMxW5KUlBQ0Nzejra0Nu3fvxsKFC5GdnY0LFy64qj7GXG5MSLRaLYaGhpCRkYGUlBSkpKRAIpGgpaXFVfUx5nJjQnLz5k3U19cjJSUFADA8PAyJRILw8HCXFMeYOxgTksrKSjgcDoSFheHKlSs4ePAgFixYgKSkpDGNnE4nrl69Oq2FMuYqYw7cm5qaEBoaiq1bt8LLywtr1qzB/v37v9GooaEBu3btQlFREdRq9bQVy5grjAnJZ599hr179+KFF174zgY2mw0HDhxAdXU13nzzTbz66qtTXiRjrjS6u2UwGFBdXY2YmJi7NigvL0dhYSFGRkZQVFSEurq6KS+SMVfyAIDLly8jKysL3d3dyMvL+85vs6xWK44cOYK0tDT4+PggMTEReXl501owY9NNRETU1taGuro6WCwWALfPl8jl8m88+fTp0ygpKUFmZibi4uJw6dIlfPLJJ0hMTER8fPx0187YtBCN987E4eFhlJeXY+7cudBoNAgODkZPTw86OjpgsVig1WqnulbGXGLcISEiOBwOeHp6QiQSQalUwmAwgIhARPDw4MvA2INplvBTbhOJRJg165tPF4lEEIlEk1oUY+6EP/4ZE8AhYUwAh4QxARwSxgRwSBgTwCFhTACHhDEBHBLGBHBIGBPAIWFMAIeEMQHjvnaL3d1//vMf1NbWwuFwQCQSYc6cOXjsscdQWFgIs9kMAJBKpdiyZcu33obA3BdvSSbRtWvXsH///jGDZPT29iI3NxcFBQUYHBx0YXVsonhLMknS0tJgt9uRl5eHbdu2YfXq1QCAZ555BlVVVQgNDUVmZiZvRWYg3pJMAbFY/I3feXl5wdPT0wXVsPvFIWFMAIeEMQEcEsYEcEgYE8AhmQJ3zot83cjICBwOhwuqYfeLQzJJioqKcPToUYyMjODw4cPIz89HW1sbcnJyUFtbi5KSEmRnZ6O3t9fVpbJ7xOdJJolMJkNKSgpWrFgBkUgEhUIBb29vxMTE4NFHHwUASCSSbx1xhrm3cY+79f/dGXeLsQcd725Nop6enjHzTbIHA4dkEvX39+PAgQNoa2tzdSlsEvEO8j1wOp1wOp1wOByjj3eGeSUiqFQqJCUlITY2FmvXrsWePXuwYMECeHh4wMPDAyKRaPRnT0/P0UceAdO98THJt3A6nbBarTCbzWOW7u5udHZ2oqOjY3Tp6+vD0NDQmMVkMsFms0EkEkEsFiM4OBgKhQJSqRQhISHQaDQICwtDWFgYQkNDERQUBIlEAolEAqlUColEwtd5uREOyf8ZHBxET08P9Ho9uru70dLSgsbGRjQ1NaGpqQk3btyAh4fH6H9msVgMiUQCX19fzJo1CyKRCD4+PvDy8oLRaERZWRnEYjEiIiLg7+8Pp9MJu90Oi8WCoaEhmM1mDA0NYXh4GH5+foiKioJWqx1dNBoNQkJCoFKpIJfLeUByF3poQ2K329HZ2TkagPr6etTV1eHatWtobW2Fj48PQkJCRpc7W4OgoKAxjwEBAfDx8YGnpyf8/PxgNpuRn5+PM2fOIDk5GevWrYNGo4HNZsPw8DBu3bqF3t5eGAyG0cc7wfz6olarMW/ePMTExCAmJgaRkZGIjIxEWFgYvL29Xf32PVQeqpA4nU7o9XpUVVXhypUruHr1KhoaGtDc3AxPT09ERUUhOjoaWq0WYWFhUKlUUKvVUKlUUKlU8PLyuuv6rVYrcnNz0d/fj+TkZCxevBhSqVSwJqPRiM7OTnR1daGzsxPt7e1oamrCtWvX0NDQgL6+PkRERCA6OhqxsbGIi4vD0qVLMXv2bD6emQYPTUgqKirwySefoLi4GK2trWhra0NgYCDCw8ORnp6OJUuWYPbs2VCr1QgODoavr+8992E0GtHQ0IDIyEjIZLIJ1+p0OmEwGEaPf7766itcuXIFpaWlMBgMUKvVCA8PR3JyMtasWYNly5ZNuC8m7IEOyfDwMM6ePYv3338fly5dQldXFxwOB1JTU5Geno64uDjIZDKo1Wr4+/vf96fynUmOJhMRwWq1oq+vDwaDARUVFTh16hQ+/fRTOJ1OaDQaJCQkYPPmzVi5ciX8/f0ntX/2gIbkTjj++te/orKyEkajcfT22U2bNiE0NBRisRje3t4zbndlZGQEZrMZfX19KCgoQG5uLhobG+Hn54fY2Fj86le/QmpqquBuHrsHNEEKhWKiTafMyMgIlZaWUmpqKnl6epJIJKLvf//79N5777m6tCkzMjJCBQUFtHLlShKJRASAVq1aRWfPniWr1erq8h4ID0RIzGYzNTQ00J49eyggIIBkMhmlpaXR0aNHyWQyubq8aTE4OEjvv/8+paenk1wuJ09PT9q+fTs1NjY+NO/BVJnxu1utra0oKCjAP/7xDxgMBixduhTbtm3D+vXroVQqXV3etOvv78fJkyfxzjvvoKqqCh4eHnj++efx7LPPYs6cOfz18QTM2JAMDAygsrIS2dnZOHbsGJYtW4aNGzdi48aNPF02gBs3buD48eMoKChAVVUVkpKSkJmZibS0NKhUKleXN6PMyJC0trbi3XffRW5uLgYHB5Geno7du3djxYoVLqnHnVVUVODdd99FYWEhTCYTnn32WWRmZkKn0/GlL+M10f00Vx2T1NbW0nPPPUdKpZISEhIoNzeXurq6XFLLTDEwMEDHjh2j9PR0UiqV9MMf/pAKCwtpaGjI1aXNCDMmJHa7ncrKyujpp58mmUxGTz75JJ0/f55sNtu01jFTjYyMUGVlJf3617+msLAwio6Opr///e8clHGYESGx2+1UUlJCSUlJpFQq6Re/+AXV1dVxQO6Rw+Ggvr4+Onz4MEVERJBSqaSsrCyy2+2uLs2tzYiQlJeXk06nI6VSSX/84x+pt7eXnE7ntPX/oLHZbPTRRx9RZGQkeXt70/PPP+/qktya24fk+vXrFB0dTUqlkv785z/zCbJJdOnSJYqJiSGRSEQ7d+4ki8Xi6pLckluHpLOzk5YvX04ymYxeeukl3r2aAl9++SXFx8eTWCymvXv3Um9vr6tLcjtuHZJdu3aRSCSidevWkdFonPL+HlbXrl0jnU5HcrmcXn/9dVeX43bc+na34eHh0Z9tNpsLK3mwicViqFQqOJ3OMe85u82tQ/Liiy8iPj4en3/+OfLy8mC1Wl1d0gOno6MDf/jDH3Dp0iWsX78eP/nJT1xdkvuZ6CZoug7cL168SDqdjrRaLf3zn/+k4eHhaen3YXDjxg3atWsXeXt7U0ZGBtXV1bm6JLfk9iEhIjp+/DjNnTuXYmJiKCcnh0+ATYLa2lravHkzSSQSSk1NpcbGRleX5LZmREgsFgsdO3aM5s6dS3PmzKHf//731N7ePm39P2guX75Mjz/+OHl7e9OGDRuos7PT1SW5tRkREqLbJ8BOnTpFOp2OPD09ad++fdTT0zOtNcx0TqeTTp8+TYsXLyYAtH37dv7KdxxmTEjuKC4upuTkZPLy8iKdTkc1NTV8glGA0+mk1tZWevnll0mj0VBQUBDt37+f9Hq9YNvz58/T9773PQJACoWCwsLCSKFQ0BNPPPHQ7KK5NCR6vZ5aWlruuV1FRQVt2bKFgoKCSKvV0qFDh+jmzZt8qcq3MBgMVFpaShkZGeTr60tJSUmUn59Pg4OD42qv1+upuLiYPDw86PTp00REdOLECQoODqZDhw5NZeluw6VjAb/yyiuw2+1466237qndkiVLcPDgQfzrX/9Cfn4+nnvuudH7JBYtWoTg4OApqnjmMBqNqK2tRUFBAd577z14eHjgmWeewd69exEXFzfu9SiVSly/fh1SqRSxsbEAbs+zEhwc/NDMteKyV1lSUoITJ04gOjp6Qu3DwsLw4osvIjY2Fjk5OTh37hxKS0uxceNGbNiwAbGxsfc19tVMZTKZUF1djU8//RQnTpxAbW0tVq5cia1bt2Lt2rUTuivx/Pnz0Ol0UCqV6OvrQ3FxMeLj45GSkjIFr8D9uOTOxI6OjtF/wFOnTqGhoWFC67mjvb0d586dQ35+Pi5fvozw8HCsWrUKGRkZSExMhEQiua/1zwRmsxkVFRU4efIkzp49iy+++AILFy7E1q1b8fjjj2P+/PkTWu/AwACSkpJgMpnw5JNPAgBCQkLw1FNPYcGCBZP5EtyWS0KSl5eHZcuW4eLFi/jNb36DsrIyzJ07d0LrusNut+Orr77ChQsXkJ+fj9raWqjVajz22GNYu3YtMjIyHsiw2Gw2fPTRR/j4449RVlaG69evIyoqClu3bkVqaioWLVp0X4M/lJWV4YknnsC+ffswf/58GI1GlJSUIDIyEjt37oRCoZjEV+OmJnowM9ED988++4w++OADGhoaonPnzpFMJqMzZ85MtIxvsFgs1NzcTEeOHKFly5aRn58faTQaiouLowMHDlB9ff2k9eVKNTU1dODAAfrBD35AoaGh5O/vT0uWLKGDBw/Sl19+SSaTaVK+yMjOzqbAwEAaGBggIqL+/n763e9+RwkJCXThwoX7Xv9MMK3HJP39/aiurkZqairEYjGSk5PhcDjQ0dExaX34+vri0Ucfxfbt27FlyxacOXMG77zzDgoLC1FTU4PXXnsNCQkJ2LRpE9atWwe1Wj1pfU+1rq4unDp1CseOHUNZWRlMJhMcDgdWr16Nn//850hLS4Ovry+8vLwmbWTK5uZmxMfHw8/PD8Dti047Ozvh7e0tOID4A2Oi6brXLYnD4aCcnByKiIggqVQ6uvj5+dGrr7460TLGrbq6ml544QWKiooiHx8f8vT0JIVCQevXr6c333yTamtryWw2k9VqJbvdPqFP4cHBQbJarfd134vT6SSbzUZWq5WGhoaopqaG3njjDUpNTaWAgADy9PQkHx8f0mq19Nvf/pYqKiom3Nfd2Gw2amlpoaVLl9KPf/xjGhwcJL1eT1lZWSSXy+m1116bkn7d0bQckzgcDnzxxReor69HSkoKNBrN6N9t2LABarUahw4dmpavFE0mE0pKSlBUVITPP/8c3d3dMJlMGBoaglarRXJyMuLi4jB//nxoNBqIxWL4+vqOfkILfXoePXoUt27dwrp16xAcHAyxWPydz7Xb7bBaraOL2WxGW1sbrl69isrKSlRUVKCmpgb+/v7w8/ODSqVCYmIi1q9fj1WrVk1o5Pvx+uCDD/DWW29Br9eP+X1QUBB++ctfYsuWLVPWt7uZ8pCYzWaUlJTgww8/hEKhwO7du/HII4/AZDLhv//9L9544w00Njbi8OHDSElJmdZNeE9PD6qqqlBeXo7y8nK0tbWht7cXAwMDsFgsCAoKQnR0NHQ6HSIiIqDRaKBWq78x09Wd8NxZDh48iDNnzmDTpk1YvXo15HI5HA4HrFYrhoeHYTabYTKZ0NXVhRs3bqC1tRVNTU2oq6uDwWCAVCqFTCaDTCZDaGgoEhMTsXz5cixevBhyuXza3h9225SHpKenB2+//TZaW1sBAD/60Y+wcuVKtLe345VXXsGd7ufPn4+f/exno/u+rlBfX4+amho0NzejpaUFHR0d0Ov10Ov1uHXrFgYHB2G328fMfiWXyyGVSiGVSuHn5wepVApvb29kZ2ejp6cH8fHx0Gq1GB4exsDAAPr7+0fnXrTb7ZDL5ZDJZAgKCkJwcDAeeeQRREZGIioqavTxYTlp565m5AiO08Fut6Ovrw/t7e2jYenv74fBYEBfXx/6+vrQ398Po9EIs9k8OheixWKBxWIZvcPv69PKBQQEwN/fH0FBQWOCplQqERISgtDQ0IfqTPZMwSG5RzabDYODgzAajTAajbBYLKPHFMPDw7BarcjJycGVK1ewefNmJCQkICQkBDKZbHRS0oCAAAQGBt71eIW5Dw7JJDKbzfj3v/+NtrY2xMXFYeHChVAoFDzm7gzH2/VJ5HA4kJSUBJlMBn9/f55W+gHB/4qTyN/fH+Hh4QgMDPxGQLKysiCXy+Hj4wMfHx/Ex8e7qEp2rzgk0+Tll1/G8ePHoVKp8Pbbb6O8vNzVJbFx4pC4wEy6FIZxSBgTxCFhTACHhDEBHBLGBHBIGBPAIXGBrq4uV5fA7gGHZJpkZWXhqaeeQnd3N/bs2cMnE2cQvnaLMQG8JWFMAIeEMQEcEsYEcEgYE8AhYUwAh4QxARwSxgRwSBgTwCFhTACHhDEBHBLGBPCQQuyh0NXVhaKiotFZ1Xbu3AmdTofDhw+jsbEREokEq1ev/tYp7nhLwh4KYrEYYrEYpaWlEIvFCAwMBABERESgqakJ4eHh3zmfJIeEPRQCAwOxYsUKqFQqJCUlYfbs2RCJRNBqtUhNTcVPf/pT6HS6b23LIWEzUmlpKf72t7/dU5uAgAD4+Pigq6sLNpsNAHDkyBHs2LHjrvNKckjYjJSYmAiFQoE5c+YgPz8fTqdTsE1QUBACAwOh1+sxMjKCixcvIjY2FlKp9K7tJnzgTkRoaWmZaHPG7tvSpUuRmZmJbdu24S9/+QteeuklrFmzBlKp9DvnjFSpVDCZTBgYGMDJkyfxpz/9SbCfCYdk+fLl2LFjx0SbM3bf7HY7bt68iVmzZqG1tRWvv/46JBIJ0tLSvnPGNLVajaamJnz44Yd4+umnx9XPhEPy8ccfT7QpY/eNiFBZWYns7GzcvHkTKSkp2LhxI7Ra7V2nuggJCcHp06chl8sxb968cfXF50nYjFRfX4+LFy9i0aJF2LdvH+bNmzeuGcLuTPaakZFx14P1r5vwQBCMuYrFYkFXVxesVisiIyPvaTLanp4edHd3IyoqatwzjXFI2Ixjt9undV5JDgljAvg8CWMCOCSMCeCQMCaAQ8KYAA4JYwI4JIwJ4JAwJoBDwpgADgljAjgkjAngkDAmgEPCmAAOCWMCOCSMCeCQMCaAQ8KYAA4JYwI4JIwJ4JAwJoBDwpgADgljAjgkjAngkDAm4H93yeQbqKYBCQAAAABJRU5ErkJggg==)
Physics-General
Physics-
Following figure shows on adiabatic cylindrical container of volume
divided by an adiabatic smooth piston (area of cross-section = A) in two equal parts. An ideal gas
is at pressure P1 and temperature T1 in left part and gas at pressure P2 and temperature T2 in right part. The piston is slowly displaced and released at a position where it can stay in equilibrium. The final pressure of the two parts will be (Suppose x = displacement of the piston)
![](data:image/png;base64,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)
Following figure shows on adiabatic cylindrical container of volume
divided by an adiabatic smooth piston (area of cross-section = A) in two equal parts. An ideal gas
is at pressure P1 and temperature T1 in left part and gas at pressure P2 and temperature T2 in right part. The piston is slowly displaced and released at a position where it can stay in equilibrium. The final pressure of the two parts will be (Suppose x = displacement of the piston)
![](data:image/png;base64,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)
Physics-General
Physics-
A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is P0 and temperature is T0, atmospheric pressure is also P0. Now the temperature of the gas is increased to 2T0, the tension in the wire will be
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)
A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is P0 and temperature is T0, atmospheric pressure is also P0. Now the temperature of the gas is increased to 2T0, the tension in the wire will be
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)
Physics-General
Chemistry-
Acetic acid undergoes dimerization, when dissolved in benzene![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/651512/1/1181525/Picture21.png)
Molecular mass of acetic acid is found 120. Which among the following relation is correct?
Acetic acid undergoes dimerization, when dissolved in benzene![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/651512/1/1181525/Picture21.png)
Molecular mass of acetic acid is found 120. Which among the following relation is correct?
Chemistry-General