Physics-
General
Easy
Question
Six identical balls are linked in a straight groove made on a horizontal frictionless surface as shown. Two similar balls each moving with a velocity
collide elastically with the row of 6 balls from left. What will happen
![](data:image/png;base64,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)
- One ball from the right rolls out with a speed
and the remaining balls will remain at rest
- Two balls from the right roll out with speed
each and the remaining balls will remain stationary
- All the six balls in the row will roll out with speed
each and the two colliding balls will come to rest
- The colliding balls will come to rest and no ball rolls out from right
The correct answer is: Two balls from the right roll out with speed
each and the remaining balls will remain stationary
Momentum and kinetic energy is conserved only in this case
Related Questions to study
physics-
A force
acting on an object varies with distance
as shown here. The force is in
and
in
. The work done by the force in moving the object from
to
is
![](data:image/png;base64,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)
A force
acting on an object varies with distance
as shown here. The force is in
and
in
. The work done by the force in moving the object from
to
is
![](data:image/png;base64,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)
physics-General
physics-
What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of
(Take
)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKQAAACmCAYAAABUfSRKAAARq0lEQVR4nO2dW2wU1R/Hv91eFCK4jWwvhtJuAyqQwDakBSOpW0nqg6S2T4AJbpfEiA+ynZIY0wK7VZAmWHcbifhEt0VDX7QLkQd86YCalKLpYoLEoHRKib1s0UFUpNf/A87+Z6d77c7szJk5n2Syt+npb+Z855zznXOZrIWFhQVQKBrBpHYAFIoYKkiKpqCCpGgKKkiKpqCCpGgKKkiKpqCCpGgKKkiKpqCCpGgKKkiKpqCCpGgKKkiKpshRItH5+XklkqUogMmkrTJJEUHOzc0pkSxFAQwhyNnZWSWSpShAbm6u2iFEoIggZ2ZmlEiWogDLli1TO4QIFBHkw4cPlUiWYgAUEeS///6rRLIUA6CIIB88eKBEshQDoIgg//nnHyWSpRgARQT5999/K5EsxQBQQVI0hSKCvH//vhLJUgyAIoK8d++eEslmnNHRUQwNDaGurk7tUAxDFl0oIDo8z6OhoQEbN27EhQsXMDw8rHZIhkBbHZkawufzwWw24+TJk+A4Dj6fT+2QDAEtIWNQU1ODvr4+mM1mZGVlAQCGh4dRVlamcmT6RpE2pB7o7++P+5miDLSETIKsrCzQ05QZaBtSRDAYRENDQ9x9eJ4Hz/MZish4UEH+B8/zYBgGL774Ytz9AoFAQtFSlg4V5H8IrrqpqSnufo2NjeH9KfJDTc1/3Lt3D11dXUnt29fXh/z8fNTX11PXLTPU1CRBNFPDcRzMZjPMZrNKUekTwwuS5/mEoqIuO3MYug0ZDAZRUVGRlmtmWRYcx8kYlbExrCAFV+1yudKqdjmOg9PplDEyY2NYQSbrqhNBXbe8GLYN6ff7YbPZYLPZEu6bqA3JcRxqamowNDRETU6aGFaQqZCMqUnGHFESY7gqOxgMKpIuFaM8GEqQQl+1kn3RHo+Huu40MIwg5XLViTCbzdR1p4FhBCmXq05EU1MTeJ6nrnuJGMbUBINBmM3mJfU9p9pTQ1330jGMINOBdh1mDt1X2YFAQO0QKCmga0EGg0EwDKPYrZ5kcDqd1HWngG4FKXbVyfTGKMXmzZup604B3QoyEAhkxFUnQnDdfr9f1ThIQdemhuM4WUZ0p2tqOI4DwzDo6+tLOxa9o2tBygV12ZlDd1W23+9X1cRQ0kNXguQ4Dm1tbWqHERer1Upddxx0JUin06m6q06Ey+WirjsOuhEky7KacNWJoK47PtTUJIHcpobjOAQCAc1fPGpABZkE1GVnDuKrbJ/PR3R/NV24KhKiBclxHDo7O4ldzoTneeq6JRAtSBJcdTzMZjPcbjd13SKIFaRQqpBuDATXTXKzQ06oqUkCpU0Nx3HgeZ7Ykl5OqCCTgLrszEFcle3z+cAwjNphKALP84bvhydKkIKrdjgcaoeiCDzPo6amxtCumyhBku6qE1FWVmb4vm5iBCk0+kl31YnweDyGdt3U1CRBpk2NkZeLpoJMAuqyM4fmq2yfz4eamhq1w1CFYDBouKpb0yWksCRJX1+fqkZGrRKS4zhUVFRgaGiI2P76VNF0Cel0OuFwOHTrqhNhRNetaUE6HA7du+pECK6bZVm1Q8kImq6ytQI1NZlDkyWkkXsqjI7mBOnz+QzVZkqFQCCge9etqSpbK65ailaqbCO4bk2VkAzDGNpVJ6KsrAyNjY26rkE0V0JqsctMKyWkQE1NDbq6unRZSmpKkFpFa4LUM5qosvXeUKckj+qC9Pl86OzspPOTlwDpc9KjoWqVrVVXLUWrVbYeXbeqgnQ6nSgtLYXH41ErhKTQqiCBR3cmOI7Tzeq8qpsaEp6iqmVBAo8u7K6uLrXDkAXVBUkCWheknlDF1DAMQ02MAujhnGZckD6fz/Bzj5WCYRjiXXdGq2xSXLUUUqpsPbjujJaQfr+f9lUriNDXTfLKHhk3NSS4aimklJACHo9H87fSYkFddhKQJkiSyUiV7XQ6qZFRARJH3isuSMFVk9rIJhmn00mc61a0yhZcdVdXF+x2u1L/RnFIrbIF1z08PExMu13REjIYDMLhcBAtRpIhcYQ5NTVJQGoJKRAIBFBfX692GElBBZkEpAuSJHKS3ZFlWZw/fx5Xr17F2NgYxsfHAQBFRUUoLi7G1q1bsXPnTtjtdjQ0NMDlctGqWmOwLBs3T1LJY6VIWEIeO3YMnZ2dKCgowPPPP49NmzbBYrHAYrEAAEKhEEKhEILBIAYHBzE6Oorly5fjp59+IqYhnQi9lJBWqxVer3dR9Z1qHk9MTKC5uRnvvvuu7DHGFOTp06fR1taG9evXY+/evVi3bh2ysrJgMpnCrwAwPz+PhYWF8OvNmzfh9/vx888/w+PxYN++fbIHnWn0IkiWZdHQ0BB23enkcU9PD27cuCF7HkcVZEtLC3p7e9Hc3Iyqqirk5OQgOzs7ItisrCwAwMLCQkSwc3NzmJ2dxeDgID788EO89tpr+OCDD2QLWA30Ikjg/0P/iouLNZnHiwS5e/du3LlzB4cPH8ZTTz2FnJyccLDiQKVXjxCwEOzs7Czu3r2L999/H6tXr0Zvb68sAauBngQJAHV1dfj99981mccRgmxpacE333yDjo6OiCCF98kEKwQqDrq5uRnV1dXElpR6EqTW8zjssk+fPo3e3l6cOnUKOTk5yM3NDQcpBC0U6dGKc6EoN5lMMJlMmJ2dDe9z+PBh7N+/H2vXrtVFm5JUSMjjcAm5Zs0avPPOO9i2bRvy8vKQm5uLvLy8cJDCVRQvWOGqEbbp6WnMzMxgenoaAwMDOHHiBEZGRtI9rxlHLyUkCXlsAh7Z/g0bNkQ0boXX3Nzc8CZcVdE26W/iNHJyclBVVYXnnnsO7e3t8pxdSkqQksdZCwsLCwUFBfB6vVi/fn3ElSMOwGQyJVWcz8/PY2ZmBjMzM5idnY24gm7cuAGGYTA5OSnXec4IeighScljE8uyKCwsxLp16yKKbXExLgQqvIp/F7sz8Wu0tNatWweLxWKY9bK1Akl5bDp//jyqqqoinFW0oKRBRNvE+4gPQuzctm3bhnPnzsl8yinxICmPTVevXoXNZluUqDh48UFIP8f6LVo6JpMJNpsN33//vcynnBIPkvI4Z2xsDBaLZVHisf6ZOBgA4XtTJpMp/D5eOhaLBb/99puc55uSAJLyOGd8fBwWiyXqVSFt3AKI+Z3Q6E90kBaLBRMTE2mcXkqqkJTHJgDIzs5O53gpBEBKHpuKioowOTkZMaJD3FUkbALS7xP9Lk5vfn4eoVAIRUVFahyrYSEpj01FRUWYmJiIGUSsfyre4h2kdKOCzDwk5bGpqqoKwWAw5j+LFmC84MV/E+1gg8EgKisrZT7llHiQlMemuro6DAwMLEpUGMkh9FkK38XbxPsIfys9CVeuXMGrr74q8ymnxIOkPDbZ7XaEQiHcvHlz0T+SBhHtIMRBRTso8b43b97E5OQknWuTYUjKYxMAuFwunDlzJjy2TTzebW5uLtxnKT0IaVCzs7OYmZlZ9J2w9fT0GP5xw2pBSh7nAEBrayvWrFmDwcFBbNu2LTzWTTxAUyiSUxmaJB7EOTg4iBs3buDixYsynF7l+PPPP3H+/Hl8+eWX4DgOY2NjAIDi4mIUFxfDarWioaEBdXV1WLlypcrRJg8peZzt+W/dtieffBLt7e3YsWMHli1bFnWESzT3FetKEl9xU1NTaGlpwaFDh7Bly5YlB6skt2/fRnNzM3bt2oU//vgDFRUVqK2txe7du3HgwAG89NJL2LBhA7KzsxEIBPDWW2/h9u3bsNlsxMyuVDqPW1tb087jjE1h2L59O9rb28FxHAKBgKaqbrfbjaNHj+L111/Hnj17YDabF3WhSd0oz/P4/PPP8dlnn+HIkSNwu91qH0ZSZCKP0yHjk7x4nofT6Qw/W0XtVdH27NmD0dFRNDU1obS0NJwp0mOVHqeQMSMjI/D5fCgpKcHZs2dVPZZkYFkWn376qWYn8i1abKq3txfV1dXYv38/BgYGMD09Hd4ePnwY8V76WbzvwMAA9u/fj+3bt0cEajab0dfXB4fDAavVquq6kdXV1Xjw4AE6OjpgtVqRl5eHvLw8PPbYY+HXWO+Ffa1WKzo6OvDgwQNUV1erdiyJ4HkeDMPA6XSivb1d0TxOh7gLBXg8Hjz77LNobGxc0iTyw4cP44033pAlULnZt28f7t69i0OHDiWsuoQqO1G1dfToUeTn58Pv96t9eBEEAgEwDIP6+nq43e5wm1eLeZxwKZX29nZ89NFHKCgowNatW2Gz2WIus3HlyhVMTk7C5XKhtbU1pUACgQDa2trgcrnQ2Ni49CNKghMnTuDs2bM4depUeDi/dPZdoipbestDGML/5ptvYu/evTh48KCix5AKPM+D47iYDxvIVB4nQ9KrnwkLEQ0ODmJsbCw8vKiwsBBPP/00KisrUVdXl9ZNb7/fj7a2NthsNni9XkXal/fv38fq1avx8ccfY+PGjVFn34lXcYhWQkpvBovnlFy/fh1vv/027ty5gxUrVsgefzKwLIvu7m54vd6U7gBkIo8Tocnl+Hw+H+x2uyKPD2ltbcX169fR2toaIUbxTLpo85OlghTfUBbEKLweO3YM69evx/Hjx2WPPx6CEFmWDdc0pNySEtCkIMXwPI+GhgY4HA5ZqvInnngC3d3dKC8vD4tRPPsu2jwRgWj9wOKZd4Iob926BYfDgb/++ivteFPB5/MBAJFCFFD9Ae6JMJvNcLlc6O7uhtVqTWsR94sXL+KZZ55BSUlJhIGJNgsv1qy6WL+J0yopKcHatWvx9ddfy3gmIuF5HoFAIOJ5NE1NTWhqaiJWjAABggSA+vp69Pf3L3oEb6qPvbhw4QIqKysXDeWXzqqL9l0y+4jT3bp1K7766is5T0MYhmFgtVrR2dlJzFLNyUKEIAXsdntEBnR2diI/Px8MwyQ1D/iHH37Apk2b4k5wWsoWLb1NmzbJNrtSeq+2tLQU/f396O/v191j+ogSpBSv14v+/n6UlpbC6XQmFOX4+DhWrVoVV0jRpngm+hxN2KtWrUprMlswGITP50NFRQVqamoiRNnU1KQ7IQokvca4VrHZbLDZbIv6xq1WK2w2GzZv3gy73Q673Y6JiYmI6aDxZt/Fm5EX7XdpWqnOvBMEJwiNZVmMjIygq6sLZWVlRLcLU4F4QcZieHgYgUAAly5dAsMwGBoaAqCt2Xcsy+LcuXNgWRYcx8HtdocFqaXBJ5lEt4IEHpkhcZuzsLAQk5OTWLlyZcLZd+L34s/S36NNkBImOhUWFoLjOLAsi2vXroUfsSeYM7PZjNLSUnR1dem2Ck4VXQtSSmFhIUKhEMrLy+POnhNWZhCLT3iNNcFJKsypqSkUFhYCAC5duoTS0lK43e6I3iehuUH5P4YSZGVlJa5du4aqqqqYQorWlhSINng1ljh//PFHbNmyJaJEpCSGaJedKq+88gquXLmyaGqndLJTtO+S2Uec7uDgIHbu3Kn2IROHoQRZW1uLX3/9FaOjoxGjdaLNwos1qy7Wb+K0RkdH8csvv+Dll19W+5CJw1CCBIADBw6gp6cnqpCiiTTR+2i/nTlzBgcOHFD7UIlE84Mr5MYIw89IxnAl5IoVK3DkyBF4vd6IAbaCqMSDbcUjeKSfxfuJ0/F6vTh06BAV4xIxXAkpYKQpDCRhWEECjyZ55efno6WlZdEUBmmftfQepHQKw/HjxzE1NYVvv/1W7cMiGsNV2WIuX76M5cuXo7m5GcPDw4tm14ln3UnfC/sODw/j4MGDePzxx6kYZcDQggSAs2fPora2Frt27cLJkycRCoXC4pMKUPx9KBTCJ598gl27dmHHjh1EP1xUSxi6yhYzMjICt9uN7u5uVFdX44UXXkB5eTkKCgpgsVgQCoUwOTmJW7du4bvvvsPly5fhcDjw3nvvYc2aNWqHrxuoICUIi0198cUX4cWmJiYmUFRUhKKiIlit1vCgDZIWmyIFKkiKpjB8G5KiLaggKZqCCpKiKaggKZqCCpKiKaggKZqCCpKiKaggKZqCCpKiKaggKZqCCpKiKaggKZqCCpKiKf4HocTq4awZPAgAAAAASUVORK5CYII=)
What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of
(Take
)
![](data:image/png;base64,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)
physics-General
physics-
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collides is![](data:image/png;base64,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)
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collides is![](data:image/png;base64,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)
physics-General
physics
The area covered by the curve of V-t graph and time axis is equal to magnitude of
The area covered by the curve of V-t graph and time axis is equal to magnitude of
physicsGeneral
physics-
In a children’s park, there is a slide which has a total length of 10 m and a height of 8.0 m. A vertical ladder is provided to reach the top. A boy weighing 200 N climbs up the ladder to the top of the slide and slides down to the ground. The average friction offered by the slide is three-tenth of his weight. The work done by the slide on the boy as he comes down is
![](data:image/png;base64,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)
In a children’s park, there is a slide which has a total length of 10 m and a height of 8.0 m. A vertical ladder is provided to reach the top. A boy weighing 200 N climbs up the ladder to the top of the slide and slides down to the ground. The average friction offered by the slide is three-tenth of his weight. The work done by the slide on the boy as he comes down is
![](data:image/png;base64,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)
physics-General
physics-
A mass ‘m’ moves with a velocity 'v’ and collides in elastically with another identical mass. After collision the Ist mass moves with velocity
in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision
![](data:image/png;base64,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)
A mass ‘m’ moves with a velocity 'v’ and collides in elastically with another identical mass. After collision the Ist mass moves with velocity
in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision
![](data:image/png;base64,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)
physics-General
physics-
A toy car of mass 5 kg moves up a ramp under the influence of force
plotted against displacement
. The maximum height attained is given by
![](data:image/png;base64,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)
A toy car of mass 5 kg moves up a ramp under the influence of force
plotted against displacement
. The maximum height attained is given by
![](data:image/png;base64,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)
physics-General
physics
In uniformly accelerated motion the slope of velocity - time graph gives ....
In uniformly accelerated motion the slope of velocity - time graph gives ....
physicsGeneral
physics
The graph of displacement (x)
time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?
![](data:image/png;base64,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)
The graph of displacement (x)
time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?
![](data:image/png;base64,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)
physicsGeneral
physics
In the above figure acceleration (a)
time (t) graph is given. Hence ![text V end text alpha horizontal ellipsis horizontal ellipsis](data:image/png;base64,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)
![](data:image/png;base64,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)
In the above figure acceleration (a)
time (t) graph is given. Hence ![text V end text alpha horizontal ellipsis horizontal ellipsis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADYAAAANCAYAAADi+J2zAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAARxJREFUeNpjYMAE54BYgwE7sAbiMwxDFBQAcSMOuSlAnDdUPSYKxHexiDMB8Uuo/JAFO4DYEk3MBYg3EalfGIgXAvEPKM2DJAfihw6Ux6KBeBKa2FwgDidCLxsQHwViLyh7PzQJg4A8NA8PGGAB4ofQ5AdLhs+R+PhALRBXIvENkJL2UiC2HejkCIohNyjbB4inEanvMVrSA4GDULOmDYZ85gjND7CQtiRCjzEQH8YingzEx7F4eMAAKAlxAPENItWDCoXlWMQXQvPdoAGtQLwBmm+IAUFAvA5NbDYQJ0JjUmWweEwLiP8DsRKR6vmA+D4QqwGxIBDPB+KZULltWALoPxTTio8XTCExMOShRfw5tPoqHogvDSaPDUkAAB0lRoWa93a5AAAAjXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtdGV4dD4mI3hBMDtWJiN4QTA7PC9tdGV4dD48bWk+JiN4M0IxOzwvbWk+PG1vPiYjeDIwMjY7PC9tbz48bW8+JiN4MjAyNjs8L21vPjwvbWF0aD5v7XGkAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
physicsGeneral
physics-
A block of mass 2kg is free to move along the x- axis. It is at rest and from t=0 onwards it is subjected to a time-dependent force
in the x- direction. The force
varies with t as shown in the figure. The kinetic energy of the block after 4.5 seconds is
![](data:image/png;base64,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)
A block of mass 2kg is free to move along the x- axis. It is at rest and from t=0 onwards it is subjected to a time-dependent force
in the x- direction. The force
varies with t as shown in the figure. The kinetic energy of the block after 4.5 seconds is
![](data:image/png;base64,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)
physics-General
physics-
The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is -
The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is -
physics-General
physics
Here is a velocity - time graph of a motorbike moving in one direction. Calculate the distance covered by it in last two seconds.
![](data:image/png;base64,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)
Here is a velocity - time graph of a motorbike moving in one direction. Calculate the distance covered by it in last two seconds.
![](data:image/png;base64,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)
physicsGeneral
physics
Here are the graphs of velocity
time of two cars A and B, Find the ratio of the acceleration. after time t.
![](data:image/png;base64,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)
Here are the graphs of velocity
time of two cars A and B, Find the ratio of the acceleration. after time t.
![](data:image/png;base64,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)
physicsGeneral
physics
The intercept of the velocity-time graph on the velocity axis gives.
The intercept of the velocity-time graph on the velocity axis gives.
physicsGeneral