Chemistry-
General
Easy
Question
The following graph illustrates-
![](data:image/png;base64,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)
- Dalton's Law
- Charles Law
- Boyles Law
- GayLussac Law
The correct answer is: Charles Law
Related Questions to study
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The molecular velocities of two gases at same temperature are u1 and u2,their masses are m1 and m2 respectively, which of the following expression is correct?
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The values of vanderwaals' constant 'a' for the gasesO2,N2,NH3 and CH4 are 1.360,1.390,4.170 and 2.253Latmmol–2 respectively. The gas which can most easily be liquefied is–
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A gaseous mixture was prepared by taking equal mole of CO and N2.If the total pressure of the mixture was found 1 atmosphere, the partial pressure of the nitrogen (N2) in the mixture is:
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physics-
In the figure, an air lens of radii of curvature 10 cm (
=
= 10 cm) is cut in a cylinder of glass
. The focal length and the nature of the lens is
![](data:image/png;base64,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)
In the figure, an air lens of radii of curvature 10 cm (
=
= 10 cm) is cut in a cylinder of glass
. The focal length and the nature of the lens is
![](data:image/png;base64,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)
physics-General
physics-
If the central portion of a convex lens is wrapped in black paper as shown in the figure
![](data:image/png;base64,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)
If the central portion of a convex lens is wrapped in black paper as shown in the figure
![](data:image/png;base64,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)
physics-General
chemistry-
At a given temperature ρ(X) = 2ρ(Y) and M(X), where ρ and M stand M(Y) = 3 respectively for density and molar mass of the gases X and Y, then the ratio of their pressures will be -
At a given temperature ρ(X) = 2ρ(Y) and M(X), where ρ and M stand M(Y) = 3 respectively for density and molar mass of the gases X and Y, then the ratio of their pressures will be -
chemistry-General
chemistry-
The density of a gas at 27°Cand1atm pressure is ρ. Pressure remaining constant, the temperature at which its density is 0.5 ρis-
The density of a gas at 27°Cand1atm pressure is ρ. Pressure remaining constant, the temperature at which its density is 0.5 ρis-
chemistry-General
physics-
An object is placed at a distance of
from a convex lens. The image will be
An object is placed at a distance of
from a convex lens. The image will be
physics-General
physics-
The ray diagram could be correct
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133XUXZWVlBAQE4Ovraw8bBd3IgAEDqKysbHWdy5VcGdEzmUwEBweTnp6OwWDAZDJZk1UlSaK8vBxfX1+XEpJd1kg5OTnU1NQQGxsLwLFjx5BluVVWbm5uLsePH7dHdwI74u3tjUqlorq6ut36dbbOHl3uxVq+r1AoKCsrIzAwUAips2RmZhISEoKfnx8ABw4cYOjQodxyyy0AvPDCCyQmJnL69Gl7dCewM4MHD+b06dOd3jy19X6lUklFRQX+/v5tJr3eiHRZSLIsU1JSwuTJk1EoFOj1er799lvGjh1rzcf661//yuDBg11ml7s3IUkS0dHRlJSU2HwNbHuklscWZWVl+Pn5ucxmLNhBSMeOHSMzM5MJEyYAl+bPzc3N7Nmzhw0bNlBXV0efPn3w9vbGw8OjywYL7E9kZCTnzp1rs5Z3R4UkSRJNTU00NDRw0003Ocr8HkGXgw0BAQEsX76cyZMnA+Dl5cWyZcsoKCiw5l2lpKTw/fffU11dzYoVK4iKiuqy4QL7ERUVZfPO15a1UEdpSQ0yGAwMGDDAnib2eLospJCQEJ566qlW3xs/fjzjx4+3fj1r1iyeeOIJLBYL/fv372qXAjsTEBBAYGAgp06duurYdmdKerQcnzAYDAwePNjeZvZoHJK02hPO1AvaRqlUMnz4cPLz8xk6dKj1+9dTF6eiogJJkggODraniT0e11kNdoILFy5w7tw5Z5vhMBQKBcOGDSM/P79VbYprrY+uXCeZzWaKiopaidFVEEKygUajYdOmTbz33nsYDAZnm+MQbrnlFioqKqirq7OempVlucOPJEkYjUZOnTrF8OHDnT0chyOEZAN/f39eeuklcnNziY2NJT09naqqKmeb1a1EREQQGhrK+fPn8fHxwdPTEw8Pj6sehULR6mRtS1FIwCqkrhRa7K2oPvroI2fb0CNRKBQMGTKELVu28NRTTxEXF8cTTzxxzaIfvRWDwcDx48f55JNPyM7Ovir3roVx48bR1NRE//79CQ0NpampCbj0+yooKMDPz8/l1kcAKle5deF6MBqNeHl5UV9fT1VVFefPn6dPnz7ONqvbCAkJIS8vj+DgYJRKpc1gg9FoJDc3l7Vr1/LQQw/xu9/9zpoalJWVxaRJk5xgufNRLV682Nk29FiWLFmCSqXi3XffZfr06dx8883ONqlbycvLY+3atSQlJREcHGzTK+n1eiIiIujbty+bNm1i3759zJ07l8GDB3Pw4EGWL1/uBMudj6jZYIP6+nrWrl2LJEnk5OQQGhrqbJMcwqBBg6ipqeHYsWN4eHi0ecODm5sbEyZMYMyYMXzyySe8/PLLTJkyxVrM3hURRfRtcO7cOZqamlxuUxFg6dKl+Pr6MnPmzGtmNUiShEqlori4mDfffJOTJ0+yevVqa5aLKyGidjbo16+fS4oIYOLEiRw+fBiDwYDZbG435G02mzEYDERERDBo0CCeeeYZNm/eTFJSEqWlpc4eikMRQhK04s477+TChQucOXOmVYi7vf2j3377jaamJmbPns0//vEPYmJieOmll1i/fj0NDQ3dZmt5eTnFxcVUVFQAlzbST5065ZTb1MXUTnAVK1asoKamhpdeesl6o19bqNVqtm3bRnFxsbXOHUBBQQGpqakYDAYee+wxpkyZYnc7U1NT+fzzzyksLGThwoUUFxdz+PBhJEnim2++cWgYXngkwVVMmzaNQ4cOodPpgLZTheBSYObYsWMMHz68VT3wyMhIUlNTmTp1Khs2bODtt9+muLjYrnbOnz+fVatWYTQaqaqqYtmyZaxatYpz585x8uRJu/Z1LYSQBFcRHh5OaGgoBw8eRKlUtrov9vJHlmUqKys5e/Ys48aNs9nW9OnTWbFiBUFBQSQnJ5Oenn5NL9cZfvnlFwYMGMA777yDn58f5eXl+Pn5WavDwqXb/uzZpy2EkARXodFoGDt2LPv37283585isXDw4EH69u1Lv3792mwvODiY5ORk0tLS2LdvH3PmzOHQoUOdOutkC4vFwp49e/D19UWtVmOxWMjMzCQ8PJywsDCampqYN28ekydPJiYmhuzs7C711x5CSAKb3Hnnneh0OgoKClAqlW1G7Xbv3s3MmTM71Gb//v1Zs2YNiYmJrFy5kjfffJNTp07ZfG9bKUqXYzKZyM/PZ+LEiQA0Nzezf/9+7rvvPpRKJbW1tfTt25fMzExeeeUVPv30047/AjqJEJLAJhEREYSHh5OVlWUzDC5JEr/++isA8fHxnWr7wQcfZPny5YSEhLB48WLWrl3b6nVZltsU2OWcPn0avV5vnVaWlJRw4sQJ65WYISEhLF26lNzcXEpKSpg7d26n7OwMQkgCm6hUKiZNmsSvv/5KTU3NVVM8lUrFrl27eOyxx67rZr6QkBCSk5N5/fXXycvLY/bs2WRnZ1vz9n744QfOnj3bbhsHDhzAYrEwZswY4FKNPj8/PxYvXsxbb72FXq/n888/Z9GiRdx///3degujCH8L2sRkMjFjxgwefvhhRowYYV3TqFQqSkpKSE1NJS0tjb59+3a5r61bt7Jx40bi4+NJSEigoqKCNWvWsHr16jZvRW+x5/JqRRaLBZPJZC1U+cwzz2AwGFCr1dx8881012kHISRBu+zYsYOPP/6Yv/zlL9ZqrO7u7nz66adotVoWL15stxvfa2trSU1NpbCwkEGDBrFx40bS0tJ6RUa5mNoJ2qVlI/XIkSPWT/6LFy9y+vRpJk6caDcRAfj6+pKSksKiRYsoLS3l1KlTvPXWW/SGoz5CSIJ2cXd3JzExkW3btlmnUkeOHMHT05PRo0fbrR+z2UxlZSU//fQT27dvZ9++fRiNRn766SeSkpIoLy+3W1/dgRCS4JpMnToVjUZDZmYmsiyTkZHBzJkzryvI0BZNTU0cOXKErKwsamtrGTduHI8//jj3338/xcXF/P73vyc9Pb3dYv/ORKyRBB1i8+bN7Nq1i2HDhnHw4EE+/vhju07r2qO8vJz8/Hx27NhBXV0dzz33HCNHjnRI3x1FCEnQIRobG3nuuefYvXs3O3fuZNSoUQ63obm5me3bt/Pll18yfPhwnnvuuR5z9F8ISdBhMjIy+PLLL3n//ffbDEk7gtraWt577z2OHj3K7Nmzueuuu5xelEYIyQXZs2cPhw8fRqPR0NzczKhRo6yXIPQmDh06RGpqKr6+vjz55JOdzrCwJyLY4IJ4e3tz9OhRFi5cyOHDh3vthWAjRoxg9erVjB07lmXLlrF06VIaGxudYosQkgsyevRonn76adRqNYmJicTFxTnbpOvGw8ODxx9/nNTUVDw8PHjsscfYsWNHtx+buBJRRchFMRqNSJLUZqUggBMnTnDo0CEUCgWjR48mLCyM+vp6du3ahVarJTY2luzsbPR6PdHR0cTExFjvWDpz5gw///wzFosFrVbLuHHjrDc6dgchISG89tprTJw4kXXr1rFr1y7+/Oc/tzqX1J0IjySwSV5eHs8++ywZGRls376duXPncu7cOfR6PTt37mTatGkkJyeTn5/Pf/7zHx544AEKCwuBSyJasWIF2dnZHD58mOeff57MzEyH2B0fH8+HH37I7bff7lCvJDyS4Cr0ej0LFiwgMjKSjz76CJ1OR2RkJJ999hmvvvoqKSkpfPXVV4wfP54FCxZw4cIFxowZw8GDB7nlllvIzMzkyJEjfPPNN3h6ehIWFoa7u7vD7FepVMyZM8dh/YEQksAGOp2OAwcOMGHCBHJyctDpdGg0GvLz84FL+zlubm7ExMQAl7Kwg4KCuHjxInDpPqyamhr8/PxYtWoV06ZNY+DAgU4bjyMQQhK04tixY1RUVGA2m9m7dy8FBQVIksSkSZOsJ1Fbip+0pOtceUVmbGws69evJy0tzerFvvjiC+655x6njMkRCCG5KC1BgcvP8uh0Ov70pz+RlJRE//79SUhIIDk52fp6dnY2Op3O+jNXttHydXZ2NqGhoaSlpaHT6Zg5cyYbN25kypQpds3P60mIYIMLUldXR2VlJXq9nsLCQkpLSyktLWXTpk1s27aNsLAwXn75ZZYvX86PP/5IaWkpaWlpHDlyBLVazcWLF2lsbKS8vBy9Xk9ZWZn1xo6mpia+/fZbEhISOHHiBM3NzQwcOJA77rijlWhvNERmgwuyatUqtmzZYq290OJJZFnGy8uLf//734SEhPCvf/2LrVu3IkkSDz/8MPPnz+f8+fPMmTMHg8GAQqHgb3/7GytXrqSsrAxJkliyZAmenp688cYb1jSiBx98kIULFzpzyN2OEJJAYAduXF8rEDgQISSBwA4IIQkEdkAISSCwA0JIAoEdEEISCOyAEJJAYAeEkAQCOyCEJBDYASEkgcAOCCEJBHZACEkgsAP/Bxc3H61hA8K4AAAAAElFTkSuQmCC)
The ray diagram could be correct
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANIAAAB6CAYAAADK1g3BAAAbRUlEQVR4nO2dfVTUVRrHP7+ZYRhgeAcDFYU0BOMkYuFLvuZqZe9ZgpWlmRUtpq1busVW7p7t7KbptliGulYqdbLS1aOZrhWWxgE0XcBSRFDxBXmH4W3efrN/eJgjOiDIMAPO/ZzzOx6Y4d7nIt957n3uc58rWSwWCwLBDcT+/fv5+uuvmTFjBqNHj3ZInyqH9CIQOIDa2lpWrFhBXl4eiYmJxMTEOKxvSXgkQW/HZDKxdetWvv76a6Kjo5k1axY333yzQ20QQhL0an755RdWrlyJh4cHSUlJxMbGIkmSw+0QUztBr6SkpIRt27bx3XffMW3aNObOnYtCoXCaPcIjCXoVsiyzceNG9uzZQ0xMDImJiURERDjbLOGRBL2HwsJCVq5cSXl5Oa+//jqxsbHONsmKEJKgx3PmzBl27NjBgQMHuPfee5k5cyZKpdLZZrVCTO0EPYqysjLKy8u5cOECFouF6upqPv/8c0aMGMGzzz5L3759nW2iTYSQBB1m79695Obm8sorr9gtMlZTU8PmzZvZv38/JSUl6HQ6dDodlZWVeHl5cf/995OQkMD48ePt0l93IYQk6BAmk4lnn32Wbdu28cMPPxAXF2eXds1mMzU1NdTU1JCZmcmBAwdYt24dbm5u/POf/+Spp57C09PTLn11J86LFwp6FXv27EGWZV599VVSU1PR6/V2aVepVBIYGMigQYPo168fOp0OSZL44x//yPPPP98rRARCSIIO0NDQwNatW7ntttuYNm0adXV17N69227tZ2Vl8dprr7F//37CwsKIj4/nxRdftFv7jkAISXBN9u7dS1VVFZMnT0aSJO655x6+/vprqqqqutRuQ0MD77//PikpKURFRbFo0SJCQkKYO3dujw0qtIUIfwvaxWg0kp6ezoMPPoibmxtms5nbbruNH3/8kX379vHII490uk2DwUBOTg6bNm3C3d2djz/+mP79+2OxWBg8eDDDhg3rhpF0L0JIgnbZvXs3siwzYsQITCYTkiTh6+vL6NGj+eabb7jnnnvw8PDocHv5+fmsX7+eqqoqkpKSGDlypPU1g8HA+PHj8fb27o6hdCtiaidoE71ez8aNG3n00UcBUCgUKBQKjEYjY8aMobKykqysrA61ZTabWb16Na+99hrR0dGsXLmylYgA3N3de6WIQAhJ0A7fffcdarWa6OhoFAoFSqUSpVKJQqFAq9UyZcoUNmzY0G4bJpOJjIwMnn76aRoaGkhNTWXevHn4+/s7aBSOQUztBDYxGAx8++23xMXF4ePjg16vb7UJazAYmDRpElu2bOHXX39l6NChV7VRUFBAWloap06dYv78+UycONGRQ3AowiMJbFJYWEh1dTUjRowAsHqjyx+VSsWkSZP44osvWv2sTqdjzZo1fPjhh4SHh7N27dobWkQghCRog6ysLPz8/AgPD0eWZev66PJHkiRGjhxJbm4u1dXVAPz3v/9l9uzZnDlzhgULFjB//nwCAgKcPJruR0ztbNDU1IRSqUStVjvbFKfQ2NjId999xyOPPIIkSW0emJMkiYEDBzJo0CA2bdqEwWDgp59+IikpicmTJ6NSuc6fl/BINrh48SLp6ekdjkjdaBw/fpyKigpGjBiB2Wy26Y0UCgUajYbm5mbKy8tZunQpbm5ubN68mbvvvtulRATCI9kkPDyciIgI3njjDYYOHUpycjKRkZHONsshWCwWNm/ezL333ou7uztGo/Gq1yVJQqlUkpmZycaNG9FoNEyZMoUHHnjAZb24VFZWJrK/baBUKq1hW39/f6ZPn05ycjK+vr7ONq1bqaur4+mnn+bvf/+7zT0dHx8f6urqWLduHcXFxTzzzDOMHTuW5cuXc9tttzF79mwnWO18pAkTJggh2UCSJNzc3MjMzKS+vh43NzeGDRuGl5eXs03rNiRJ4uTJk6hUKvr27Yssy1e9Z+HChRQWFmIymZg5cyY+Pj6oVCr279/Ptm3b+PDDD9FoNE6w3rmI80jt8NVXX/HCCy8QHx9PQkICjz/++A0tJIvFwvz585k6dSp33XUXJpPpqvcYDAbgUqaCJEnWqZ4sy8yZM4ePPvqoRxQjcTRijdQG6enpfPHFF7z//vvcd999N9xOvC1OnDhBc3MzAwYMoLm5GbPZ3OZ7WyJ5LZu0np6eDB06lKysLCEkwSVOnjxJUFAQn376qUsIqIWjR4+i1WoJDg4G6NRxcrPZzMiRI/nhhx9ITEzsLhN7LCL8bYNBgwZx9913u5SILBYLv/32GyEhIfj4+FinbB19ZFkmJiaG48eP09TU5OzhOBwhJAEA1dXVlJaWEhUV1e7eUVsPgFarZeDAgeTk5Dh5NI5HCEkAYC2BFRkZaT131JkHwM3NjSFDhvDzzz87eTSORwhJAFzKZtBqtYSEhCDLsjU1qCNPS/ROpVIRFRVFXl5eu4GKGxEhJAGyLJOTk8Pw4cOtIe/r8UiyLBMcHIy7uzvFxcXOHJLDEUISYDabycnJITY2tlVKUGc8ElwSkr+/P+7u7hQVFTlrOE5BhL8FVFRU0NjYSP/+/VtlM1xPNVWtVotarebChQv2NLHHI4QkoKCggAEDBtgUTmfEZLFYUKvV+Pv7U1ZWZk8Tezxiaifg+PHj9OvXjyuzxToScLgSs9lMnz59qK6utls11t6AEJKL07IRGxYWdpWQ4NpBhyuRZZk+ffpQVVVFXV2dI4bQIxBCEnDy5EnCwsKu+n6LsK5XSPX19d1ue09BCMnFqa+vt0bbOostDybLMkFBQTQ0NFBbW2sPE3sFQkguTlFREf7+/qjVapvCgM55pMsDDmfPnu1u83sMImrn4pw+fRpvb2/c3NzafE9bkbv2jrIFBQVRUVHRZft6C0JILk5VVRUajabdO1k7u59ksVjQarUuFWwQQnJx6urqcHd3v+blxleKqT1vJMsyXl5e1NTU2MXG3oBYI7k4LUJSqVTtiqOzaLVaampq7NpmT0YIyYWxWCzodDo0Gk2bRSBbuFaQ4cp2tVottbW1QkiuTHV1tcuEbg0Gg92r/lgsFry9ve0qJFmWe3T+nhCSDfR6PRs2bOCrr75ytindisViwWKxWIV0rSyGKzO+23q6K9hQWlrKO++8w5EjR+zarj1QudLuc0fx9/fnzjvvZNGiRaxbt46UlBRGjhyJxWLBaDTeMNOVhoYGaz5cQ0MDSqUSk8mE0WhErVajUqlQqVTWO5Eun9KZzWbrYzKZ0Ov1GAwG9Hq99QoYnU6HTqezS/liSZIYMmQIR48eZcaMGUybNo0//OEPhIaGWm3oCh4eHtcMuLRr35gxY26Mvwo7UlRUxMWLF62CUavV1k/bW2+9FXd3dydbaB9MJhNnzpzB29sbLy+vVl7H1pqo5d+W30uLR2t5ZFm2/msymTh9+jS33nrrNddfHUGv13P8+PFWaUcajQaz2YyPjw+RkZHXdeyjZVwffPBBl+6uFQUibbBlyxb27NmDLMts2bKFyspKAgMDSUhIYNmyZXh6ejrbRLvQ1NTEkiVLGDVqFPHx8ahUKjQaDRqNppVHau8P1GQyWT2SXq+nubkZvV7PxYsXSUlJISMjwy62NjY28sEHH1BUVERFRYV12n3rrbeyYMEC5s2bZ5d+rhexj2SDRx99lEcffZQPPviALVu2kJSUREJCAuPGjbPLp2tPwWg0IssyBoMBg8FgvQepZZ3TMnVTqVStjk1c/trlQmppx2Aw0NzcDFwSmj2mdp6enrz66qvo9XpmzZrFwIEDefHFF3nkkUcYMmRIl9vvKkJINjAajaxdu5bs7Gx27txJXFxcuyk0vZXLgwPXOy1qC1mWu7TmuBKLxUJFRQUpKSlERUXx7rvvEh4ebrf2u4oQkg3Onj1LfHw8SUlJdv8D60lcuea5HKVSiVarbffn2mvXYrHY1XubzWbOnDnDkiVLemRJZCEkG0RERPTI/yx70+Ixrrx1QqVScfLkST755BM8PT2ZNWsWZWVl7Ny5E61Wy8KFC695mYC9PZJKpbLeZ9sTuXEm/IJOc/nU7nIsFgu+vr5ERUWxfv16HnroITIyMoiOjmb58uWkp6dfM8m1urq6W6aMPRUhJBdGqVRa63Zfjtls5qabbuKhhx4iNDSUpKQkFi9ezJNPPsmAAQOsxR+VSiVeXl54eXnh4eHRSjQWi8WlaqeLqZ0L0xLabm5uvspzSJJEXl4eZ8+eZcqUKWg0Gn777TcaGhqIjo4GLt21u337dmu296hRo6x7bjqdjqCgIJfxSEJILo5araaxsfGq6Z1areZ///sfkiQREhICwC+//IKfnx9xcXGYTCbeeecdlEolOTk53H777YwdOxa4VFiytraWwMDAG2q7oD1cY5QCm0iShL+/P42Nja1qdbd4qaKiIuLj49FqtciyzO7du7njjjvw9/envr6e3Nxcpk+fTmxsLCNHjiQgIMBaN7ympoagoCAnjs6xCCG5OAEBAVYhtUzDFAoF58+f5+eff2bMmDFoNBr0ej3l5eUUFRWRkZGBm5sbs2bN4u2338bDw4N7773XugkrSRJ1dXUEBAQ4c2gORQjJxQkMDESv1191e4Qsy0ydOpX77rsPWZbRaDTMmzePoUOHsnv3bvR6PefOnSMuLg4/Pz/27t1r9UYtHikwMNBJo3I8XV4j7du3j/feew93d3eWLFnCoUOH2LFjBwEBAaSmptq8Yl7QcwgMDKS5ublV9rTZbCY0NJRly5ZhMpmsUb2W1CmAwsJCNBoNISEhGAwGfvzxR8LDw7npppswm81UVVW5lJC67JGGDx/OokWL+P7775kxYwZubm4sWrSIrVu3snXrVnvYKOhGgoKCbF68LMsy9fX1mEwma3a30Wi05ud5enpy+PBhPvvsM7788ksGDhxIeHg4FouF6upq1Gq1S32Idtkj+fj40K9fP/z9/VmzZg133XUXZWVlBAQE4Ovraw8bBd3IgAEDqKysbHWdy5VcGdEzmUwEBweTnp6OwWDAZDJZk1UlSaK8vBxfX1+XEpJd1kg5OTnU1NQQGxsLwLFjx5BluVVWbm5uLsePH7dHdwI74u3tjUqlorq6ut36dbbOHl3uxVq+r1AoKCsrIzAwUAips2RmZhISEoKfnx8ABw4cYOjQodxyyy0AvPDCCyQmJnL69Gl7dCewM4MHD+b06dOd3jy19X6lUklFRQX+/v5tJr3eiHRZSLIsU1JSwuTJk1EoFOj1er799lvGjh1rzcf661//yuDBg11ml7s3IUkS0dHRlJSU2HwNbHuklscWZWVl+Pn5ucxmLNhBSMeOHSMzM5MJEyYAl+bPzc3N7Nmzhw0bNlBXV0efPn3w9vbGw8OjywYL7E9kZCTnzp1rs5Z3R4UkSRJNTU00NDRw0003Ocr8HkGXgw0BAQEsX76cyZMnA+Dl5cWyZcsoKCiw5l2lpKTw/fffU11dzYoVK4iKiuqy4QL7ERUVZfPO15a1UEdpSQ0yGAwMGDDAnib2eLospJCQEJ566qlW3xs/fjzjx4+3fj1r1iyeeOIJLBYL/fv372qXAjsTEBBAYGAgp06duurYdmdKerQcnzAYDAwePNjeZvZoHJK02hPO1AvaRqlUMnz4cPLz8xk6dKj1+9dTF6eiogJJkggODraniT0e11kNdoILFy5w7tw5Z5vhMBQKBcOGDSM/P79VbYprrY+uXCeZzWaKiopaidFVEEKygUajYdOmTbz33nsYDAZnm+MQbrnlFioqKqirq7OempVlucOPJEkYjUZOnTrF8OHDnT0chyOEZAN/f39eeuklcnNziY2NJT09naqqKmeb1a1EREQQGhrK+fPn8fHxwdPTEw8Pj6sehULR6mRtS1FIwCqkrhRa7K2oPvroI2fb0CNRKBQMGTKELVu28NRTTxEXF8cTTzxxzaIfvRWDwcDx48f55JNPyM7Ovir3roVx48bR1NRE//79CQ0NpampCbj0+yooKMDPz8/l1kcAKle5deF6MBqNeHl5UV9fT1VVFefPn6dPnz7ONqvbCAkJIS8vj+DgYJRKpc1gg9FoJDc3l7Vr1/LQQw/xu9/9zpoalJWVxaRJk5xgufNRLV682Nk29FiWLFmCSqXi3XffZfr06dx8883ONqlbycvLY+3atSQlJREcHGzTK+n1eiIiIujbty+bNm1i3759zJ07l8GDB3Pw4EGWL1/uBMudj6jZYIP6+nrWrl2LJEnk5OQQGhrqbJMcwqBBg6ipqeHYsWN4eHi0ecODm5sbEyZMYMyYMXzyySe8/PLLTJkyxVrM3hURRfRtcO7cOZqamlxuUxFg6dKl+Pr6MnPmzGtmNUiShEqlori4mDfffJOTJ0+yevVqa5aLKyGidjbo16+fS4oIYOLEiRw+fBiDwYDZbG435G02mzEYDERERDBo0CCeeeYZNm/eTFJSEqWlpc4eikMRQhK04s477+TChQucOXOmVYi7vf2j3377jaamJmbPns0//vEPYmJieOmll1i/fj0NDQ3dZmt5eTnFxcVUVFQAlzbST5065ZTb1MXUTnAVK1asoKamhpdeesl6o19bqNVqtm3bRnFxsbXOHUBBQQGpqakYDAYee+wxpkyZYnc7U1NT+fzzzyksLGThwoUUFxdz+PBhJEnim2++cWgYXngkwVVMmzaNQ4cOodPpgLZTheBSYObYsWMMHz68VT3wyMhIUlNTmTp1Khs2bODtt9+muLjYrnbOnz+fVatWYTQaqaqqYtmyZaxatYpz585x8uRJu/Z1LYSQBFcRHh5OaGgoBw8eRKlUtrov9vJHlmUqKys5e/Ys48aNs9nW9OnTWbFiBUFBQSQnJ5Oenn5NL9cZfvnlFwYMGMA777yDn58f5eXl+Pn5WavDwqXb/uzZpy2EkARXodFoGDt2LPv37283585isXDw4EH69u1Lv3792mwvODiY5ORk0tLS2LdvH3PmzOHQoUOdOutkC4vFwp49e/D19UWtVmOxWMjMzCQ8PJywsDCampqYN28ekydPJiYmhuzs7C711x5CSAKb3Hnnneh0OgoKClAqlW1G7Xbv3s3MmTM71Gb//v1Zs2YNiYmJrFy5kjfffJNTp07ZfG9bKUqXYzKZyM/PZ+LEiQA0Nzezf/9+7rvvPpRKJbW1tfTt25fMzExeeeUVPv30047/AjqJEJLAJhEREYSHh5OVlWUzDC5JEr/++isA8fHxnWr7wQcfZPny5YSEhLB48WLWrl3b6nVZltsU2OWcPn0avV5vnVaWlJRw4sQJ65WYISEhLF26lNzcXEpKSpg7d26n7OwMQkgCm6hUKiZNmsSvv/5KTU3NVVM8lUrFrl27eOyxx67rZr6QkBCSk5N5/fXXycvLY/bs2WRnZ1vz9n744QfOnj3bbhsHDhzAYrEwZswY4FKNPj8/PxYvXsxbb72FXq/n888/Z9GiRdx///3degujCH8L2sRkMjFjxgwefvhhRowYYV3TqFQqSkpKSE1NJS0tjb59+3a5r61bt7Jx40bi4+NJSEigoqKCNWvWsHr16jZvRW+x5/JqRRaLBZPJZC1U+cwzz2AwGFCr1dx8881012kHISRBu+zYsYOPP/6Yv/zlL9ZqrO7u7nz66adotVoWL15stxvfa2trSU1NpbCwkEGDBrFx40bS0tJ6RUa5mNoJ2qVlI/XIkSPWT/6LFy9y+vRpJk6caDcRAfj6+pKSksKiRYsoLS3l1KlTvPXWW/SGoz5CSIJ2cXd3JzExkW3btlmnUkeOHMHT05PRo0fbrR+z2UxlZSU//fQT27dvZ9++fRiNRn766SeSkpIoLy+3W1/dgRCS4JpMnToVjUZDZmYmsiyTkZHBzJkzryvI0BZNTU0cOXKErKwsamtrGTduHI8//jj3338/xcXF/P73vyc9Pb3dYv/ORKyRBB1i8+bN7Nq1i2HDhnHw4EE+/vhju07r2qO8vJz8/Hx27NhBXV0dzz33HCNHjnRI3x1FCEnQIRobG3nuuefYvXs3O3fuZNSoUQ63obm5me3bt/Pll18yfPhwnnvuuR5z9F8ISdBhMjIy+PLLL3n//ffbDEk7gtraWt577z2OHj3K7Nmzueuuu5xelEYIyQXZs2cPhw8fRqPR0NzczKhRo6yXIPQmDh06RGpqKr6+vjz55JOdzrCwJyLY4IJ4e3tz9OhRFi5cyOHDh3vthWAjRoxg9erVjB07lmXLlrF06VIaGxudYosQkgsyevRonn76adRqNYmJicTFxTnbpOvGw8ODxx9/nNTUVDw8PHjsscfYsWNHtx+buBJRRchFMRqNSJLUZqUggBMnTnDo0CEUCgWjR48mLCyM+vp6du3ahVarJTY2luzsbPR6PdHR0cTExFjvWDpz5gw///wzFosFrVbLuHHjrDc6dgchISG89tprTJw4kXXr1rFr1y7+/Oc/tzqX1J0IjySwSV5eHs8++ywZGRls376duXPncu7cOfR6PTt37mTatGkkJyeTn5/Pf/7zHx544AEKCwuBSyJasWIF2dnZHD58mOeff57MzEyH2B0fH8+HH37I7bff7lCvJDyS4Cr0ej0LFiwgMjKSjz76CJ1OR2RkJJ999hmvvvoqKSkpfPXVV4wfP54FCxZw4cIFxowZw8GDB7nlllvIzMzkyJEjfPPNN3h6ehIWFoa7u7vD7FepVMyZM8dh/YEQksAGOp2OAwcOMGHCBHJyctDpdGg0GvLz84FL+zlubm7ExMQAl7Kwg4KCuHjxInDpPqyamhr8/PxYtWoV06ZNY+DAgU4bjyMQQhK04tixY1RUVGA2m9m7dy8FBQVIksSkSZOsJ1Fbip+0pOtceUVmbGws69evJy0tzerFvvjiC+655x6njMkRCCG5KC1BgcvP8uh0Ov70pz+RlJRE//79SUhIIDk52fp6dnY2Op3O+jNXttHydXZ2NqGhoaSlpaHT6Zg5cyYbN25kypQpds3P60mIYIMLUldXR2VlJXq9nsLCQkpLSyktLWXTpk1s27aNsLAwXn75ZZYvX86PP/5IaWkpaWlpHDlyBLVazcWLF2lsbKS8vBy9Xk9ZWZn1xo6mpia+/fZbEhISOHHiBM3NzQwcOJA77rijlWhvNERmgwuyatUqtmzZYq290OJJZFnGy8uLf//734SEhPCvf/2LrVu3IkkSDz/8MPPnz+f8+fPMmTMHg8GAQqHgb3/7GytXrqSsrAxJkliyZAmenp688cYb1jSiBx98kIULFzpzyN2OEJJAYAduXF8rEDgQISSBwA4IIQkEdkAISSCwA0JIAoEdEEISCOyAEJJAYAeEkAQCOyCEJBDYASEkgcAOCCEJBHZACEkgsAP/Bxc3H61hA8K4AAAAAElFTkSuQmCC)
physics-General
chemistry-
Which of the following molecule has the lowest average speed at 273K?
Which of the following molecule has the lowest average speed at 273K?
chemistry-General
chemistry-
In the below experiment, the value of P is
![](data:image/png;base64,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)
In the below experiment, the value of P is
![](data:image/png;base64,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)
chemistry-General
biology
Digestion of hormonal vesicle by lysosome is called -
Digestion of hormonal vesicle by lysosome is called -
biologyGeneral
chemistry-
Glycerol on oxidation with bismuth nitrate mainly gives:
Glycerol on oxidation with bismuth nitrate mainly gives:
chemistry-General