Collisions
PHXI06:WORK ENERGY AND POWER

355282 Assertion :
A particle strikes head-on with another stationary particle (of same mass) such that the first particle comes to rest after collision. The collision should necessarily be elastic.
Reason :
In elastic collision, there is a loss of momentum of the system of the particles.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355283 In the given figure four identical spheres of equal mass \(m\) are suspended by wires of equal length \(l_{0}\), so that all spheres are almost touching to one other. If the sphere 1 is released from the horizontal position and all collisions are elastic, the velocity of sphere 4 just after collision is
supporting img

1 \(\sqrt{3 g l_{0}}\)
2 \(\sqrt{2 g l_{0}}\)
3 \(\dfrac{\sqrt{g l_{0}}}{2}\)
4 \(\sqrt{g l_{0}}\)
PHXI06:WORK ENERGY AND POWER

355284 As per the given figure, a small ball \(P\) slides down the quadrant of a circle and hits the other ball \(Q\) of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball \(Q\) after collision will be (\(g = 10\;m{s^{ - 2}}\))
supporting img

1 \(0.25\;m{\rm{/}}s\)
2 \(4\;m{\rm{/}}s\)
3 0
4 \(2\;m{\rm{/}}s\)
PHXI06:WORK ENERGY AND POWER

355285 Body \(A\) of mass \(4\;m\) moving with speed \(u\) collides with another body \(B\) of mass 2 \(m\), at rest. The collision is head on and elastic in nature. After the collision the dfraction of energy lost by the colliding body \(A\) is :

1 \(\dfrac{1}{9}\)
2 \(\dfrac{8}{9}\)
3 \(\dfrac{4}{9}\)
4 \(\dfrac{5}{9}\)
PHXI06:WORK ENERGY AND POWER

355282 Assertion :
A particle strikes head-on with another stationary particle (of same mass) such that the first particle comes to rest after collision. The collision should necessarily be elastic.
Reason :
In elastic collision, there is a loss of momentum of the system of the particles.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355283 In the given figure four identical spheres of equal mass \(m\) are suspended by wires of equal length \(l_{0}\), so that all spheres are almost touching to one other. If the sphere 1 is released from the horizontal position and all collisions are elastic, the velocity of sphere 4 just after collision is
supporting img

1 \(\sqrt{3 g l_{0}}\)
2 \(\sqrt{2 g l_{0}}\)
3 \(\dfrac{\sqrt{g l_{0}}}{2}\)
4 \(\sqrt{g l_{0}}\)
PHXI06:WORK ENERGY AND POWER

355284 As per the given figure, a small ball \(P\) slides down the quadrant of a circle and hits the other ball \(Q\) of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball \(Q\) after collision will be (\(g = 10\;m{s^{ - 2}}\))
supporting img

1 \(0.25\;m{\rm{/}}s\)
2 \(4\;m{\rm{/}}s\)
3 0
4 \(2\;m{\rm{/}}s\)
PHXI06:WORK ENERGY AND POWER

355285 Body \(A\) of mass \(4\;m\) moving with speed \(u\) collides with another body \(B\) of mass 2 \(m\), at rest. The collision is head on and elastic in nature. After the collision the dfraction of energy lost by the colliding body \(A\) is :

1 \(\dfrac{1}{9}\)
2 \(\dfrac{8}{9}\)
3 \(\dfrac{4}{9}\)
4 \(\dfrac{5}{9}\)
PHXI06:WORK ENERGY AND POWER

355282 Assertion :
A particle strikes head-on with another stationary particle (of same mass) such that the first particle comes to rest after collision. The collision should necessarily be elastic.
Reason :
In elastic collision, there is a loss of momentum of the system of the particles.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355283 In the given figure four identical spheres of equal mass \(m\) are suspended by wires of equal length \(l_{0}\), so that all spheres are almost touching to one other. If the sphere 1 is released from the horizontal position and all collisions are elastic, the velocity of sphere 4 just after collision is
supporting img

1 \(\sqrt{3 g l_{0}}\)
2 \(\sqrt{2 g l_{0}}\)
3 \(\dfrac{\sqrt{g l_{0}}}{2}\)
4 \(\sqrt{g l_{0}}\)
PHXI06:WORK ENERGY AND POWER

355284 As per the given figure, a small ball \(P\) slides down the quadrant of a circle and hits the other ball \(Q\) of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball \(Q\) after collision will be (\(g = 10\;m{s^{ - 2}}\))
supporting img

1 \(0.25\;m{\rm{/}}s\)
2 \(4\;m{\rm{/}}s\)
3 0
4 \(2\;m{\rm{/}}s\)
PHXI06:WORK ENERGY AND POWER

355285 Body \(A\) of mass \(4\;m\) moving with speed \(u\) collides with another body \(B\) of mass 2 \(m\), at rest. The collision is head on and elastic in nature. After the collision the dfraction of energy lost by the colliding body \(A\) is :

1 \(\dfrac{1}{9}\)
2 \(\dfrac{8}{9}\)
3 \(\dfrac{4}{9}\)
4 \(\dfrac{5}{9}\)
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PHXI06:WORK ENERGY AND POWER

355282 Assertion :
A particle strikes head-on with another stationary particle (of same mass) such that the first particle comes to rest after collision. The collision should necessarily be elastic.
Reason :
In elastic collision, there is a loss of momentum of the system of the particles.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355283 In the given figure four identical spheres of equal mass \(m\) are suspended by wires of equal length \(l_{0}\), so that all spheres are almost touching to one other. If the sphere 1 is released from the horizontal position and all collisions are elastic, the velocity of sphere 4 just after collision is
supporting img

1 \(\sqrt{3 g l_{0}}\)
2 \(\sqrt{2 g l_{0}}\)
3 \(\dfrac{\sqrt{g l_{0}}}{2}\)
4 \(\sqrt{g l_{0}}\)
PHXI06:WORK ENERGY AND POWER

355284 As per the given figure, a small ball \(P\) slides down the quadrant of a circle and hits the other ball \(Q\) of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball \(Q\) after collision will be (\(g = 10\;m{s^{ - 2}}\))
supporting img

1 \(0.25\;m{\rm{/}}s\)
2 \(4\;m{\rm{/}}s\)
3 0
4 \(2\;m{\rm{/}}s\)
PHXI06:WORK ENERGY AND POWER

355285 Body \(A\) of mass \(4\;m\) moving with speed \(u\) collides with another body \(B\) of mass 2 \(m\), at rest. The collision is head on and elastic in nature. After the collision the dfraction of energy lost by the colliding body \(A\) is :

1 \(\dfrac{1}{9}\)
2 \(\dfrac{8}{9}\)
3 \(\dfrac{4}{9}\)
4 \(\dfrac{5}{9}\)