Physics-
General
Easy
Question
Figures I, II, III and IV depict variation of force with time
I) ![](data:image/png;base64,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)
II) ![](data:image/png;base64,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)
III) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIkAAAB2CAYAAAD84LAFAAAS4klEQVR4nO3d+1NU5x3H8ffeWC7LfRGJIEQuRQSMUhvrlUKKGaUxjjbV6ETUTFIdY/sHdJxOW3/pZJrpONOOddKmk2gMRCFKCKmpqAgYKQTXKGiEIgsIC8KyLnvfPf3BsFODyYpZXIHnNcMMcJY937Pz4Tm353mOTJIkCUH4DvJAFyA8+URIBJ9ESASfREgEn0RIBJ9ESASfREgEn/weErfbzfDwMBaL5Vtf43A4MBqNOBwOf69emATKR/kjq9VKS0sLIyMjACQmJpKdnQ1AT08PFRUVLF26lB/+8Id0d3fT399PdnY2arWagYEBWltbuXjxIvn5+SxdutR/WyNMikdqSa5du8Zbb71FVVUVZ8+e5fr16wBIksT169eRy+WkpqZit9v56KOPePPNN7l8+TJ2u50LFy7Q1taGy+VCp9N9Z4sjPBkeqSVpbW0lJSWFl156iVmzZjFnzhwAbDYbQ0NDREREEBoaisvl4s6dO+Tm5nLp0iXmzZvH8PAws2fPJiEhgRs3bmA0GgkNDfXrRgn+NeGWxOVy0d7eTl9fHydPnqS6uhq73Q7A6OgoJpOJiIgI5HI5FouFgYEBVqxYgdVq5caNG9y+fZu4uDjmzJmDyWTCbDb7faME/5pwSzI8PIzRaGTDhg3k5OSgVqtRq9XAvYNWl8uFXC5HJpPR29tLWFgYWVlZfPnll3z++edYLBbi4uKw2WzY7XZcLpffN0rwrwm3JAMDA8TFxZGVlUVaWhpJSUkoFAoAFAoFcrkcu92OJEno9XqSk5OJiooiKSkJnU4HgEajwWazoVKpUCofaY8nPEaPFJKIiAjCw8PHLQsNDUWtVmMwGHC5XHR1dZGamopCoSAtLQ2lUklCQgJhYWF0dnYSERFBZGSkXzZEmDyyifYnMZvN2O12IiMjx7UCkiTR0NBAU1MT69evJyQkhNDQUMLCwnA4HAwODhIcHExISAhvvfUWqampbNq0ydsSCU+mCbf1Go0GjUbzwGUymYysrCwMBgMjIyPMnTvXuywoKIinnnoKAL1ez/z583nmmWdEQKaACbckwswzKfduPB4PInvTh99DIkkSXV1dDAwM+PuthQDxe0iMRiOlpaWcOnVKXCibJvx6kcLj8XD16lUqKyux2WwsWbKE3Nxcf65CCAC/tiTDw8PU19fT2dlJa2srVVVVojWZBvzWkrjdbrq6urDb7eTm5pKSksKtW7fo7e0lPT0dmUzmr1UJj5nfQuJwOLBarRQVFeHxeMjIyCAjI4P29nbvVVdhavJbSFQqFZmZmYSFhXH+/HlUKhWLFi1ieHgYuVz0kpzK/BYSpVJJTEzMfb+Ty+XExsb6axVCgIh/ccEnERLBJxESwScREsEnERLBJxESwScREsEnERLBJxESwScREsEnERLBJxESwScREsEnERLBJxESwScREsEnERLBJxESwScREsEnbx9Xj8eDzWYDIDg4eFznZUmScDgc2Gw2JEkiODgYtVothkrMAEoAu91OZ2cnZ8+eRaFQUFxcTHx8vDcAkiQxPDzMhQsX0Ol0WK1WMjIyKC4uFh2dZwC5JEncuXMHnU5HW1sbra2t40bdOZ1OdDqddwbFH//4x3zyySecO3cOt9sdoNKnD0mS6O3t5fLlywwODga6nHGUMpkMrVbLc889h8vlorW1ddyL7HY7t27dIi4ujvz8fGbNmkVDQwN1dXUUFxc/cODVuXPnGB4eBkCr1bJy5Uq0Wu2kb9BU4/F4qKur48iRI+j1el577TXWr18f6LLuo4R7sxAFBQURGhr6wGMMj8eD1WolODiY4OBglEolqamp1NfXf+s8JC6XC6fT6f1eGE+v13P8+HHee+89dDodWq2Wvr6+QJc1zkMPzvpmeMbmbv02hYWFbNq06dGqmsYkScJqtVJfX8+hQ4eora0lLS2N119/nbKysidy8p/vDInJZGJoaIjIyEhCQ0MxGAxYrVYcDgc3b94kKytLjPGdAIfDQWdnJ2VlZZSXlzM0NMTOnTvZs2cPV65coaysLNAlPpBSkiTu3r3LjRs3aGlpoaOjg9raWuRyOTqdjr/97W8cPHiQxMREWlpa+Pjjj1Gr1fT09LB161YRkocgSRJGo5Ha2lref/99mpubycrK4re//S2rV69Go9HQ1tYW6DK/lRLutRiXLl1iaGiImJgYWlpaSElJYe7cuTz//PNER0cze/ZsHA4H58+fx2w2s3v3bnJycsR1Eh9sNhs3b96ksrKS48ePI0kSmzdvZvPmzWRkZKBQKJ7IXcz/U8pkMhITE9mzZ88DX7B48WLv92vWrGHNmjWPq7Ypzel0MjQ0xGeffcaxY8fo7u5mwYIF/PznP2fFihXExMRMmX8wMWf3JDCZTDQ1NXHy5ElqamoICwujpKSENWvWkJKSQnBwcKBLnBAREj9yOp10dXXx6aefUlpaysjICAUFBbzwwgssWrSIiIiIKdN6/D8REj+xWCw0NDTw7rvv8p///Ifk5GR27drFz372MzQazZR+0MLUrfwJIUkSBoOBd999lyNHjnD37l02b97Myy+/THp6OiqVKtAlfm8iJN+DxWJBp9Px5ptvcunSJXJycigpKeEnP/kJsbGxU3LX8iAiJI/A4XDQ29vLsWPHOHjwIBqNhk2bNvH666+TlpY27a4diZBMgMvlYnBwkPr6eo4ePUpdXR15eXns3LmToqKib316x1QnQvIQJEnCZDJx7do1qqur+eSTTwgKCmLv3r1s3LiRzMzMQJc4qURIfHC5XOj1empqajh58iQGg4HFixezfv16Vq5cOW1bj/8nQvIdHA4HtbW1nDhxgubmZrRaLdu3b6egoIDk5GSCgoICXeJjIULyLbq6ujhx4gQffvghw8PDvPDCCxQXF7NgwQLvI21nChGSb3C5XJw/f54///nPXLp0ifnz57N//34KCgqIjY2dUeEYI0LyNY/HQ3d3N++88w5Hjx7l9u3b7N27lzfeeIPY2NhpcVHsUc34kHg8Hm9XicOHD1NfX092djYHDx5k5cqVU+5m3GSYsSEZ60bY2dnJqVOnKC0txe12U1JSwq5du5g3b16gS3xizMiQuFwuDAYD586d48SJE7S3t5OZmclLL73E6tWriYqKCnSJT5QZF5KRkRG++OIL77ihoKAgtm3bRlFREenp6ajV6kCX+MSZMSFxOBx0dXVx+vRpSktLGR0dZdmyZaxbt468vDyio6OnzQ05f5sRIRkdHaW2tpYPPviA5uZmEhMTKSkp4bnnniMuLm7GXBR7VNM6JJIkodfref/99/nwww8ZHR1ly5YtbNiwgaeffvpbB6MJ95u2IXG73TQ1NfG73/2OixcvsnjxYvbv309+fj7h4eGBLm9KmVYhkSQJt9vN4OAg//jHP/jLX/6Cx+Nh+/bt/OpXvyIpKUm0HI9g2oTE5XIxNDREU1MTf//737l48SILFy7k1Vdf5ac//SlhYWGBLnHKmvIhGevr0dbWxqeffsqJEycICQlh165d/OIXv2D+/PmBLnHKm9IhcTgc9PT0UFNTw6lTp+jt7WXRokVs2rSJ5cuXExkZGegSp4UpG5K7d+/S0NBAZWUlTU1NREVFUVJSQmFhISkpKeK01o+mXEg8Hg/t7e18/PHHlJeXY7FYKCoqoqioiIULFxIZGSkOTv1sSoXE7XZTU1PDoUOH0Ol0ZGRksHv3blavXo1Wq53Rt/Mn05QJSV9fH4cOHeK9997DbDbzy1/+kh07dhAfH09QUJBoPSbREx0SSZKw2+00Nzfz+9//npqaGp599ll+85vfsHr1anHc8Zg8kSGRJAmbzUZ3dzfHjx/nn//8J5Ik8cYbb7Bv3z6SkpICXWLAeTweJElCLpdPqBWVJAmPx4NMJhvXFdPlciGXy8f9/okLicPhwGAwcOHCBcrLy7l69Sq5ubls3bqVwsJCcVHsawaDAaPRSFJSEkqlEpPJRExMDAqFArfbzcjICHa7nfDwcMLCwrxBstls9Pf3o1AomDVrlrdrhNvtprW1lZiYGObMmXPfup6okIyMjNDS0sK//vUvzpw5Q3BwMK+88gpr164lMzNzSo/M/z4kSaK/vx+tVotSqcTj8XD9+nUMBgNhYWH09PTw73//m7179xIeHo5er+f8+fPcvn2b7OxsVq5ciVKp9F54bG9vx2q1smTJEuLj473r6Ozs5MqVK7z88sv3rf+J+NTH5vX47LPP+OijjzCZTCxZsoR169bxox/9iKioqBl9YNrU1ER5eTmFhYUsWbIEuHedKCoqCqfTSV9fH42NjVgsFlQqFS0tLZhMJrRaLZcvXyYxMZHg4GAcDgeSJKFQKLBYLN6putrb29FqtcydO5eysjIcDsd9x3sBHx9gtVo5ffo0Bw4c4PDhw6hUKnbu3Mmvf/1r8vPzRWcgoKOjg7q6OoxGI06nE7PZzOjoKOHh4cTGxrJs2TLvRMpOp5P+/n7S0tJYt24darUai8VCSEgIYWFhSJLEyMgIbrcbo9FIY2MjV65cYXBwkNDQUBQKhXeS5jEBbUk6OjooLS2lvLwck8nEli1bWLt2LRkZGYSHh8/4cIzRaDSsWrWKwsJCNBoNPT093odFhISE3DdYbKyDN4BKpUKSJFQqFQkJCQCYzWaCgoJQKBRERkby+eefc/nyZfLz89FoNISGhmKxWO5bf0BC4nK5OHfuHH/605/44osvWLhwIfv372fZsmVERERMu6kbvq+enh4WLVrkvRelVCq9//XfpFAoiIiIYGhoiM7OTtRqNeHh4d4LjVFRUURERAD3JnB+8cUXsVqt9PX1ERMTw+jo6LiTg8e+uzEYDPzhD39gy5Yt1NTUsGPHDj744APWrVtHdHS0CMgDWK1W9uzZQ2VlJXDvUTNj/Wbq6+tJT0/n7bffZunSpVRVVbFw4UIOHz5MYWEhMpmM5ORk73vJZDIUCgV2u523336bxYsXc/jwYeLj43E6nVy7do1Zs2bdX4A0Cf74xz9KZWVl3p/dbrc0NDQkVVdXSxs3bpTmzJkjrV27VqqqqpKsVutklDCleDwe6fTp01J8fLz017/+9aH+5syZM9KxY8ekoaEhv9TgdDql6upq6ciRI+OWTeruRpIkzGYz7e3tVFZWUl5ejlKpZNeuXWzbto20tDRx3PGI0tPTvd0wJUn63p+j9PWxy6pVq8Ytm7SQOBwO9Ho9Z86coaKiAr1eT05ODhs3bmTFihUz/rT2+0pISCA8PNxvTy9TqVQUFBQ8cNmkhaSxsZHGxkYaGhoIDw9nx44dFBQUkJqaKgZA+YHD4aCjo4OBgQGeeuop5s+fP2nHc34PidPpxG63U1FRQXx8PPn5+Tz//PM888wzoq+HH6lUKrRaLU1NTZSWlrJkyRJWrFjBggUL/L4uv4dEJpOhVCoZHBxEJpPR0dFBWVkZFRUV/l7VtKLX67l79y5lZWUP/cSKseky6urqqK6uJi8vj1deeYXi4mK/ttZ+D4lSqWTr1q0sX74cmUwmOgI9JI/Hw759+1CpVBPabfT19dHW1sbg4CA5OTlkZ2f7/R6XTJL8/xyNSXhL4RskSWJgYIADBw6gUCjYu3cviYmJk9IBa1JCIkw+q9XKl19+SWRkJPPmzZvUO+QiJIJPDx2/sWmjjEYjLpeLmJgYoqKiZuREczPNQ4VkbP939uxZOjs7cTqdREdHs2HDBhISEsRp7TT3UCFxOBxcuXKF1tZW79iWd955h6ioKDZv3ixuyk3Q4OAgLS0tREVFkZubO65D99jxxs2bN3E4HCxbtoz09PQAVfuQd4EdDgfd3d3ExMSwdOlSVq1axdNPP01jY6N4DP0EuN1url+/zsmTJzl69Cg1NTXefiFjnE4nTU1NVFVVYTAY6O/v58CBA/T29gao6ocMicfjwW63o1arUavVKJVK5s2bx+joqDjdnQC5XE5cXBzLly8nOTkZp9M57vMbGRnx3q5/8cUX2b59OwMDA95uAoHwyOdNJpNJtCITJJPJiI6OJjo6mtjYWMxm87jXWCwWzGYzycnJxMbGotFo+MEPfkBzc3MAKr7noVoShUKBRqPBbDZjtVpxOp20t7eTl5cnjkcmSCaTeb8eRJIk763/sdckJibicrkeZ5n3eaiWRK1Wk5ycjE6no6KiApVKxZ07d3j11VdFSPzE6XTeN2hq7GePx8NXX33F7NmzA1bbQ4VEpVKRl5cH3OvebzKZ2LdvH5mZmeL0d4JsNhtGo5Hh4WHMZjPd3d0oFAquXr3KrVu3ePbZZ71jZ7766ivkcjn//e9/2bZtW8BqFldcHyOPx0NnZye1tbU0NDTgdDpJTU1lw4YNXLt2DZ1Ox+7du+np6eHs2bPYbDasVitxcXG89tprhISEBKRuEZLHSPp6BJ1er79v2EJaWhoulwuz2UxSUhIej4fbt29z584d3G43GRkZAZ3KXIRE8EnceBF8+h/mCbhgGvbEEwAAAABJRU5ErkJggg==)
IV) ![](data:image/png;base64,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)
The impulse is highest in the case of situations depicted. Figure
- I and II
- III and I
- III and IV
- IV only
The correct answer is: III and IV
Impulse = Area between force and time graph and it is maximum for graph (III) and (IV)
Related Questions to study
Physics-
The variation of momentum with time of one of the body in a two body collision is shown in fig. The instantaneous force is maximum corresponding to point
![](data:image/png;base64,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)
The variation of momentum with time of one of the body in a two body collision is shown in fig. The instantaneous force is maximum corresponding to point
![](data:image/png;base64,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)
Physics-General
Physics-
A body of mass 3kg is acted on by a force which varies as shown in the graph below. The momentum acquired is given by
![](data:image/png;base64,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)
A body of mass 3kg is acted on by a force which varies as shown in the graph below. The momentum acquired is given by
![](data:image/png;base64,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)
Physics-General
Physics-
A particle of mass m, initially at rest, is acted upon by a variable force F for a brief interval of time T. It begins to move with a velocity u after the force stops acting. F is shown in the graph as a function of time. The curve is a semicircle.
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)
A particle of mass m, initially at rest, is acted upon by a variable force F for a brief interval of time T. It begins to move with a velocity u after the force stops acting. F is shown in the graph as a function of time. The curve is a semicircle.
![](data:image/png;base64,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)
Physics-General
Physics-
A particle of mass m moving with velocity u makes an elastic one dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to F0 linearly in time T/2, and decreases linearly to zero in further time T/2. The magnitude of F0 is
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3weDw4OTlh27ZtsLCwQFJSEpKTk9XyjITCfvmqqipMmzYNly9fhp+fH2JiYmBqaqpyu9H/UuXZ8nw+HxMmTEBiYiKGDBmCTZs2Yc+ePWp3uTrrgWMYBvfu3YO/vz+uX7+OwMBAbN26VS269Mo609AZzs7OiI2Nxeuvv46NGzdi9+7d6nUajI3BvOcDv8+ePSM3btwgU6dOJfr6+uT9998n1dXVbGyC+j+ZmZlk4sSJpG/fviQ2NlZtLuIUiEQiUXdDm5OTg5KSEhgZGSEyMhLZ2dkICgpCXFycWrRsz9XU1EBLS0vlWzkAGDZsGAYNGoTc3Fykp6dDW1sbI0aMUP0H0rGR2tTUVOLp6UlmzJhBzMzMyPLly0lpaSkbq+ZUVFQUkUqlyi6jU7KyssiECROIrq4uWbt2LSkvL2d9G9XV1SQ7O/uV91bXr18n6enp7b7X7WM4uVwOqVSKS5cuITs7G8HBwfjss884uyycTSkpKSrZS30ZDw8PxMTEwMHBAUlJSYiPj0dZWRmr2+Dz+aiqqoJYLMaBAwcgl8tfuvzJkydx4cKF9t/sTvLlcjm5du0a8fT0JP369SMhISFdvhmgKlCVk/ddkZ2dTSZMmEBGjhxJrl27xvr6a2pqyFdffUUcHR2Jn58fOXDgQLvLrV27lgwfPpyMGDGCBAcHk4KCglbvt/u81FfV2NiIvXv3IjQ0FAzDwMzMDIaGhio7ztaRmzdvwsHBQW3r//vvv9HU1AQrKyuFXEja0NCAu3fvQiaTwczMDG+//Tbi4+NhaGjYsswvv/yCwMBAxMfHw8bGBnZ2dq1q6da5VB0dHcyYMQPW1tawt7fvWfMre6DCwkLMmzcPpaWl+PDDD7Fw4cI2nUJ9fX0IBAJ4eXm1e4PtbgWOx+PB3Nwc5ubm3VkNpQbu37+P6Oho+Pr6YtWqVS+8auXGjRsYP378CyeUq8SsLUq1SSQS5OfnY8uWLRg6dOhLDzkePHgAR0fHF95oSD0PVihO6evrw8vL65VuIvT48WMUFBTg/Pnz7b5PA9cOuVyO69ev49q1a8ouRe2899570NPTQ0pKSrvvd6uXqqnq6+uxePFiuLq6Yv78+coup43CwkKcOXMG5eXlrV7X09PD9OnTMWTIECVV1rEedwwnlUqRmpqKq1evtnnP398fbm5uKC0txa1btxAdHY2amhocOXIEv/32GwBgypQp8PPzU8jjlF5Vr1690LdvX8hkMojFYnh6emL06NHQ0dFRal2vQrWrUwChUIixY8di4MCByMzMREFBQctdxocOHQoej4dz585h4sSJMDMzw+nTp5GXlwc3NzdUVFQgLi4OlpaWGD9+vNK+g7m5OQIDA/Hw4UMkJydj6dKlGDFihNLq6YweFziBQICxY8fC2toav/76KyZOnIigoKBWLUNKSgrWr18PABg/fjxGjhwJY2NjNDc3Iz09Hbdv31Zq4J4rLi7GsGHD1Oo0Yo8L3HP19fXo1asXbGxsWoXtypUruHXrFlxcXACg1cCmjo4OKisrVWbmVG5uLkxMTFh5vgRXemwvtaqqCmVlZW1m+6ekpGD+/PltjoUYhkFCQgJsbW0xefJkLkt9oT/++APW1tYqNdOsIz22hSsvL8fTp09bPZa8vr4eqampbcaQpFIpTp8+jaNHj2Lv3r0qcQpPJpOhpKQEEyZMUPmOwn+pT6UsksvlqKysBCGk1e4xPT0d48aNw+jRo1teq6urQ1ZWFg4fPozw8HCVGXK4c+cOJBIJHBwc6C5V1dXV1SE3NxempqYtk4obGhqQnp7e5mk0v//+O9auXQtdXV08evQIqampyMjIUEbZrfB4PHh7e2PgwIHKLqVTemQLJxQK4eTk1Opy7IKCAkgkErz11lutljUwMEBAQACAf05gP39N2RwcHODg4KDsMjqNnmn41/MZ7REREWq1i1I3NHD/unPnDnR1dWFubq4Wk2jUFQ0cxake2WmglIcGjuIUDRzFKRo4ilM0cBSn/gdTs0yQTD0+XQAAAABJRU5ErkJggg==)
A particle of mass m moving with velocity u makes an elastic one dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to F0 linearly in time T/2, and decreases linearly to zero in further time T/2. The magnitude of F0 is
![](data:image/png;base64,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)
Physics-General
Physics-
A body of 2 kg has an initial speed 5ms–1. A force acts on it for some time in the direction of motion. The force time graph is shown in figure. The final speed of the body.
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)
A body of 2 kg has an initial speed 5ms–1. A force acts on it for some time in the direction of motion. The force time graph is shown in figure. The final speed of the body.
![](data:image/png;base64,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)
Physics-General
Physics-
In the figure given below, the position-time graph of a particle of mass 0.1 Kg is shown. The impulse at
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKQAAACBCAYAAABO1BHEAAAVf0lEQVR4nO2de1DU1/n/XwvLVZZVRCRedsEqajDijaIQyyjipVIdI6nxgtYkHTXTAuZibGyMnThRMw2p1Ubb6FRRI5Do1ASNGhUErYpaFJIgeAHxRpCLssAu7O37hz/3VyogyO7HxT2vmf2D3c85z7Pw5lyf8xyZ2Ww2IxDYCU5P2wGB4L8RghTYFUKQArtCCFJgVwhBCuwKIUiBXSEEKbArhCAFdkW7BblhwwaOHTuGwWBoc5mGhga+/vprUlJS2mtO4GC0S5A//vgj+fn5+Pr64uzs3OZyLi4uKBQKvvrqK+7du9duJwWOQ7sEmZWVhVKpxM/PD5lM1nYjTk6o1WpUKhUXL15st5MCx+ERQd6+fZsePXpQVFREfX09SUlJTJs2jevXr5OXl0ePHj1QKBQAGI1G3njjDRISEggMDMTd3Z3ly5eTlJREv379cHNzY8eOHQAolUq6dOlCVlaWtN9Q0Kl4RJC9evVi5syZrF69mgsXLrBv3z4+/PBDZDIZd+7cYeDAgXTp0gUAs9lMeno6BQUFHDt2jI0bN5KcnMz169c5ffo0b731FmlpaQC4ubnh6enJ3bt3MZlM0n5LQadB3tybCQkJDBkyBJ1Ox6pVqwgJCeHHH39Er9c3GTtWV1djMBhYt24dgYGBGAwGIiIiWLx4MX5+fuh0Ol544QXgwTjS29ubS5cuUV1dTffu3aX5hoJORbNjyLKyMoKCgqipqWHYsGGW993c3JDL/7+Gz549i1qtZvjw4eh0Oku5vn37ApCXl8eYMWOa1G0wGNo1Qxc4Fo8I8sSJE6xfv56PPvoIvV5PdnY28ECMjY2NNDQ0WJ7Nz88nNDQUeNBaVlRU0LdvX7y8vNBoNBQUFDB06FDgwXhTp9Ph7e2NUqmU4rsJOiFNBJmZmcmnn35KXFwc06ZNIyYmhrS0NDQaDf7+/vj6+lJWVmYR5aFDhywtaFVVFWazmV69egFQWFiIQqFArVYDD9YiNRoN3bt3x93dXcrvKOhEOK9atWrVwx9kMhmDBw8mKioKZ2dn1Go1AwYMQKVS4eHhQWFhIeXl5YwYMQJPT0/UajURERF06dIFNzc3goKCeP755/H09MTV1ZXw8HBUKhUAFRUVHDt2jODg4CbDAIGgCeZ2kJWVZV68eLH56tWr7SlmNpvN5rNnz5onT55s/v7779tdVuA4tGthfMyYMZSVlXHixAn0ev0jn2s0GjQazSPva7Vazp49S1hYGIMHD37y/x7BM4/MbLbOIa+GhgY+++wzvLy8eO2113ByEnEbgvbT7DpkezGbzXz//ffs3bsXJycnfv7znxMSEmKNqgUOhlUEWV9fT3Z2NufPn8dkMnHmzBkGDRqEm5ubNaoXOBAd7lfNZjMlJSWcOnWKgIAAAgICOHjwIKWlpdbwT+BgdLiFbGhooKCggNDQUNRqNe7u7iiVSvLz81GpVKKVFLSLDreQRqMRLy8v5s+fj5+fHz4+PixcuBCFQiGCKATtpsMtpIeHB2PGjGmyHejj40N4eLhoHQXtpsOCdHJyanZv+mGImkDQHsRiocCuEIIU2BVCkAK7QghSYFcIQQrsCiFIgV3x2GWfW7dusX37dm7fvg3AtGnTiIyMFGuMApvQqiCrqqrYsGEDLi4uREdHAxAYGNhq1oqtW7eSmZkJwLx584iNjbWiu4JnnRYFaTKZyMnJobS0lA0bNrT52OqkSZOYPXs2AL1797aOlwKHoVVBnj59mlOnThEcHAxAUFAQSUlJjBo1qsUK+/Tpw8iRI63vqcAhaHVSo9friYiIoKysjLKyMkJCQti4cSNlZWVS+SdwMFoVpLu7Oz179rT8/OKLL+Lp6UljY6PNHRM4Ji0KUiaT0adPH65evUpNTQ0Gg4HKyspHslcIBNakRUE6OTkxYsQIdDodf/nLX9i2bRtnzpxh9OjR+Pj4SOmjwIFotYUcNGgQb775JnV1dVy+fJmYmBgmT54sMk8IbEarfa+bmxsTJ05k4sSJUvkjcHDE1qHArhCCFNgVQpACu0IIUmBXCEEK7AohSIFdIQQpsCuEIAV2hRCkwK4QghTYFUKQAruiTYIsKioiLi6O1157jeLiYlv7JHBgHitIrVZLeno6//73v+nSpQtGo/Gxlf5v2nKz2Wx5dfR9g8HA1atXyc3NZeXKlchkMvH6f6+VK1c+9m9j77Qa7WMymbhw4QIlJSXExcVRVVXV4rOFhYVkZWWRnZ1NUlISq1ev5pVXXsHV1ZUhQ4ZYLk1KTExkwYIFZGRk8P7771sy7e7du5dRo0aRkZHBokWL0Ol09O7dm82bNxMSEsK2bdtYuXIlOp2OiooKRo0ahUKhwMfHR9JMaxUVFXh7e+Pq6iqZzbbyLNyQ1uotDDdv3mTNmjWEhobi4eHByZMniY+Pp3///s0+/+c//xm5XE5iYqJNnNXr9Wzfvp133nmHGTNm4O/vz8iRI5k5c6ZN7DXHsmXLiIuLs1wqKrAuLbaQRqORAwcOoNFoeOmll/j222+l9KtZ8vLy+Pjjj+nfvz+vvvoqgYGBkics+OMf/4iHh4ekNh2JFseQer2ejRs3ArBlyxb279/PhQsXSE1NpaKiQjIHH1JTU8Pq1au5e/cuL730EmFhYfTu3RtfX19J/fDw8Gg1UYKgY7QoSLlczm9+8xu7uZdwx44dHD58mIiICObOnYuLiwvHjx/n4sWLkvqxfft2rl+/LqlNR6LFLlsul/Pmm29afk5NTeXkyZPMmjVL8lYpPz+fTz75BIVCwVtvvWW50DM7OxuVSiXpJU2HDh1iyJAhBAYGSmbTkWjzedYJEyYQFhaGv7+/Lf15BK1Wy/vvv8/169dZsWIFERERls/0er24DP4Zo82C7N69e5vz+1iThy1zaGgoy5Yta7Lc0qNHD7p16yapP2PGjHkqvwdHwa5P/J8/f56kpCQaGxtZv349Xl5eTT7/3e9+J7lP/z2MEVgfu93Lvn//PsnJyZSWlrJkyZJmE1g9jS67vr6+TbtVgifDLgVpMBg4fPgwhw8f5oUXXuD1119vNn1LdnY2eXl5kvr2j3/8g2vXrklq05GwO0GaTCYKCwvZvXs3jY2NxMfHW2bV/8vx48e5cOGCpP6dPHmSyspKSW06EnYnyHv37rF3715OnTplSR9tj/vGAttgV5Mao9HIf/7zH1JTU+nXrx+//vWvW13zHDJkCD169JDQQ4iJieG5556T1KYjYVeCLCsr4+9//ztarZbExERCQkJwcmq5EZ8wYYLkqQFjY2NFwn8bYjddtk6nY/fu3Rw+fJixY8cybdo0PD09Wy3TrVs3FAqFRB4+wNnZGZlMJqlNR8JuBFlUVERSUhIqlYq4uLg2dcUPgz6kJDExUfKZvSNhN1322rVr0Wq1zJ49m/Hjx7epFbpx44bkkTeVlZU0NDRIatOReOotpNlsZufOnaSlpTF8+HDmzZvX5i7xYei+lLi4uLQ6rhV0jKfeQl65coX33nsPf39/3n333RbXHJsjKCgIPz8/G3r3KFOmTJE8wMSRaFWQOp2O06dPU11dDUBISAj9+vWzmvH79++zZs0afvrpJ95++20mTZrUrvJz5syxmi9tJS4uTnKbjkSLgjSbzeTm5rJ161Z8fHwoKioiODiYt99+u9UWIjs729KlhYeHt3jJkl6vZ+/evfzrX/9i9OjRTxQocffuXVxcXOjatWu7yz4pBQUF9OnTR/LZvaPQ6mDIy8uLhIQE1q9fz/Lly7l27RqFhYWtVqjX69HpdOh0ulYDH/Lz89m6dSvu7u689957T7TYfOjQIXJyctpdriNs27ZNRIzbkBZbSJlM1uRknZeXF0ql8rED+vHjxz/21GF1dTU7d+4kLy+P+Ph4IiMj2+n2Ay5fviz5JU7Xrl2jtrZWUpuORJumi1qtlqNHj+Lt7d3h0H29Xs+BAwf45ptvCA0NZeHCheKaEYGFNs2ys7KyyM3NZcmSJfTq1atDBouKiti9ezf3798nPj4etVr9xHVNnDgRb2/vDvnTXpYvX27ViZ2gKY8V5JkzZ1izZg0JCQmMHTu2Q+t+9fX1fP311xw9epQlS5YQERHRob3o8PDwJy77pIwYMUJsHdqQVrvsvLw8XnnlFX77298SHh5OeXk5Go0Gk8nUbkMmk4lTp06xc+dORo0axbx58zp8elGn00k+hqypqUGv10tq05FoUZBGo5HMzEy6d+/Op59+ytSpU5k6dSpbt259okH99evX2bBhA2VlZcydO5ehQ4d2yHGAzz//nPT09A7X0x5ef/11zp8/L6lNR6LF/tLZ2Zn4+Hji4+M7bKShoYGjR49y/PhxYmJiiI6OtkrYWGVl5SMHvwSdG0k2ZfPz8/nrX/9KQEAA8+fP52c/+5lV6nV1dcXFxcUqdbUVPz8/sSpgQ2y+l63Vavnb3/7GjRs3SEhIYPTo0Vare+LEiZLvmMyfP79d++2C9mFzQaakpJCens6LL77InDlzrCqg0NBQq9XVVsLCwiS36UjYtMv+4YcfWLlyJe7u7ixatMhqXfVDSktL+emnn6xa5+PIyMjg7t27ktp0JGwmyLq6Oj788ENu3rzJq6++SnR0tNWDaVNTU8nIyLBqnY8jOTlZ7GXbEJsJMi0tjUOHDqFWq0lMTLTJwaja2lrq6+utXu/jbIoEV7bDJoK8dOkSmzdvprGxkV27dtksIdTTmGV36dJF8pOOjoTVf7O1tbVs3ryZoqIiEhMTm6TPszaxsbGSp1f+6KOP8PHxkdSmI2F1QR48eJA7d+4QHBzMokWLrF19EwYOHGjT+pujo8Elgtaxepedk5ODVqslISHB5hkefvjhB8kvcjp8+LDkM/uOYjAY2h1/8MUXX1BeXm41HxoaGrh48SL5+fmtPmc1QVZXV3Pr1i0AZs2axbhx42w+vtu/fz+nT5+2qY3/5fPPP5f8n+D06dMdnkgVFBRw7ty5Zus5ceIE6enplgliQUEB69evt+rkzWw2c/HiRbZv345Wq23xOasI0mQykZOTw/79+xk+fDizZs2SJMtsXV1dq1/uWeHjjz/u0FlwuVyOUqkkIyODP/3pT5w4ccLy2cM4gwsXLliW5Xbt2kVERIRVhyfu7u4MHDgQnU7XajpDqwiyrKyMlJQUrl69ypQpUwgJCZEkZvBpzLIDAgIkvTkMHtyS1tEkqX369CE2NpYbN26waNEili5dyv79+1m3bh3//Oc/SU5O5ve//z2lpaXs27ePqKgoS9mcnBxmzJhBVFQUy5Yts/SEmZmZREVFERUVRUJCArdv37aUyc3N5eWXXyYqKooZM2YA8Nxzz+Hu7s65c+da9LPVm7zaik6n48CBA3zxxRfcuXNHsntsqqqqkMvlkkaNV1ZWolAoJE0RWFJSgkqlskqCgvLycu7du4eHhwcDBgwgIiKCyspKpk6dSmRkJPfv3yc6OpqSkhI8PDwoLy9n48aNuLm58fLLL+Pp6UnPnj25dOkSv/zlL9mxYwddu3Zlz549mM1mVq9eTXFxMYsXL2bBggWMHDmSb7/9FpVKRWRkJOvWrUOpVLJixYpm/bPKLNvd3Z3p06cTExODyWR6ogBeQct89dVXTJ8+3Sq9wTvvvMOmTZv4xS9+wezZs/Hx8eGbb77h+eefR61Wc+TIEQwGg2U5zWAwUFJSgq+vL0FBQZZ69uzZw5QpU4iMjEQmk1FeXk5ycjKXLl3i7NmzBAYGEhUVRc+ePS1bxo2NjSiVSiorK9FoNM3GNVht2cfZ2VnccGUj5s+f3+E69Ho9a9as4ebNm2zevJnZs2fj5eVFSkoKdXV19OnTB3gw+ejbt6+lXK9evVi5ciUffPAB3t7efPDBByxevBij0cjOnTvZs2eP5dlx48Yhk8kwGo34+/tbepGHGwmNjY3IZDI0Gg1arda2ghTYLyaTiXPnzjFgwADeeOMNy9GR+vp6bt26Ra9evSzJH+RyOTdv3mxSvn///uzatYusrCzWrFlDZGQkSqWSX/3qV+zYseOR4Utubi7FxcVoNBq6detGdXU1ZrMZNzc3jEYjSqWyxXG4EKQDoNfrGTp0KGFhYU3GoXq9ntraWq5du8a5c+cYPHgwAQEByOVyqqqq8PHxoba2ltzcXGpqarh27Rq9e/dGoVAwffp0UlNT2bVrlyW/Uu/evQkODmbYsGGkpKSQlpbGoEGDuHjxImFhYQwbNoyamhp8fX2FIB0ZNze3ZoNblEolMTExlJWVkZOTQ9++fQkMDESlUpGRkcHMmTOpra3l+PHjllZzzpw59OvXDxcXFzZt2sSWLVss9YWFhREUFMSgQYNYsWIFKSkpXLlyBZVKxYQJEyguLkav17e6nGSVWbbg2WLt2rWUlJSwefNmq9Z78uRJNm3axNKlS5u9dwg6YQt59+5dPvvsM0tM4sKFCxk7dqwktgsKCti9ezdBQUHExsZKcrZmz549HDlyhIaGBlxdXfnDH/7QoeQKbWHOnDmEh4dTXFxstUtG6+vrLYm6Bg0a1OJznUqQer2e7OxsGhsbmTNnDkeOHGHLli34+/szYMAAm9quq6tjx44dHDhwgEmTJjF9+nSbC3LPnj189913REdHo1QqcXZ2liTSSKVSsW3bNqvutrm6uhIdHc2kSZNa3VjoVIKUy+WMHz+ecePG0a1bN7p27cratWspLy+3uSCzsrKABzkypdgdun37Nt999x0xMTFMnjxZ8hjMCRMmWLU+uVzeppa9U+UmlslkdO3a1RLw29DQgEKhsHlLVVhYyMGDBxk5ciT9+/e3qa2HFBcXc/PmTRYsWGC5beJpJGiVmk4lyP+mqqqK3bt3o1KpbCqS+vp6Dhw4gMFgIDo6WrK8Pg/nmvv27UOj0aDRaNi/f3+TWe2zSKcUZF1dHSkpKRgMBubNm4dSqbSZrcuXL5OZmcmoUaMoLS2lvLyc8vJyrly5YjOb8GDnq3v37k1a/7lz53Lnzh2b2n3adKoxJIBGoyE5OZnz58+zZMkSm48d5XI5er2eL7/8ki+//JIrV65gMpmor69n586dNrPr6+uLVqvlxo0bDBs2DL1ez61bt6ySE8me6VTrkEajkb179xIfH8+sWbMIDg4GYNiwYYSEhEgSgbN69Wp0Oh3vvvuuTbNm1NfX88knn1BYWEhYWBh1dXVkZ2ezadOmZzpzhvOqVatWPW0n2orJZOL27dv4+/vj4eFhGVv5+/vTt29fSWaiMpkMtVpNv379bBpM4uLiQv/+/dHpdFRUVGA0Glm6dKlkk6qnRadqIQXPPp1yUiN4dhGCFNgVQpACu0IIUmBXCEEK7AohSIFdIQQpsCuEIAV2hRCkwK4QghTYFUKQArvi/wAyiT2Ik22m4QAAAABJRU5ErkJggg==)
In the figure given below, the position-time graph of a particle of mass 0.1 Kg is shown. The impulse at
is
![](data:image/png;base64,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)
Physics-General
Maths-
Which of the following graph represents x=5
Which of the following graph represents x=5
Maths-General
Maths-
A market with 3900 operating firms has the following distribution
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)
If the histogram is constructed with the above data, the highest bar in the histogram would correspond to the class
A market with 3900 operating firms has the following distribution
![](data:image/png;base64,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)
If the histogram is constructed with the above data, the highest bar in the histogram would correspond to the class
Maths-General
Maths-
The median from the following data is
![](data:image/png;base64,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)
For such questions, we should know the formula to find a median
The median from the following data is
![](data:image/png;base64,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)
Maths-General
For such questions, we should know the formula to find a median
Maths-
What is the surface area of a triangular pyramid. with slant height 12 cm base area 24 cm2 and primater 36 cm
What is the surface area of a triangular pyramid. with slant height 12 cm base area 24 cm2 and primater 36 cm
Maths-General
Maths-
John scored following marks in Term 1: 45, 50, 42, 38, 40, Find his mean deviation
John scored following marks in Term 1: 45, 50, 42, 38, 40, Find his mean deviation
Maths-General
Maths-
Find MAD for first 3 multiplesof 5
Find MAD for first 3 multiplesof 5
Maths-General
Maths-
Calculate MAD for first five whole numbers
Calculate MAD for first five whole numbers
Maths-General
Maths-
Calculate MAD for first six natural numbers
Calculate MAD for first six natural numbers
Maths-General
Maths-
Find MAD for first five add numbers.
Find MAD for first five add numbers.
Maths-General