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Q. No.

Two bodies \(A\) and \(B\) of same mass undergo completely inelastic one dimensional collision. The body \(A\) moves with velocity \(v_1\) while body \(B\) is at rest before collision. The velocity of the system after collision is \(v_2\). The ratio \(v_1:v_2\) is:
1. \(2:1\)
2. \(4:1\)
3. \(1:4\)
4. \(1:2\)
Q1:
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Subtopic:  Collisions |
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At any instant of time \(t\), the displacement of any particle is given by \(2t-1\) (SI unit) under the influence of force of \(5~\text N\). The value of instantaneous power is (in SI unit):
1. \(5\)
2. \(7\)
3. \(6\)
4. \(10\)
Q2:
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Subtopic:  Power |
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Object \(A\) has half the kinetic energy as that of object \(B.\) The object \(B\) has half the mass as that of the object \(A.\) The object \(A\) speeds up by \(1~\text{ms}^{-1}\) and then has the same kinetic energy as that of object \(B.\) The initial speed of object \(A\) is nearly: (Take \(\sqrt2\cong1.4\))
1. \(0.5~\text{ms}^{-1}\)
2. \(1~\text{ms}^{-1}\)
3. \(2.5~\text{ms}^{-1}\)
4. \(4.8~\text{ms}^{-1}\)
Q3:
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Subtopic:  Work Energy Theorem |
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A particle is displaced through \((3 \hat{i}+4 \hat{j})~\text{m}\) by force \(2 \hat{i}~\text{N}\). The work done is: 
1. \(14~\text{J}\) 
2. \(8~\text{J}\) 
3. \(6~\text{J}\)
4. \(10~\text{J}\)
Q4:
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Subtopic:  Work done by constant force |
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An object moving along a horizontal \(x\text-\)direction with kinetic energy \(10~\text J\) is displaced through \(x=\left(3\hat{i}\right)\text{m}\) by the force \(\vec{{{F}}}=\left(-2\hat{i}+3\hat{j}\right)~\text N.\) The kinetic energy of the object at the end of the displacement \(x\) is:
1. \(10~\text J\) 2. \(16~\text J\)
3. \(4~\text J\) 4. \(6~\text J\)
Q5:
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Subtopic:  Work Energy Theorem |
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An object falls from a height of \(10~\text m\) above the ground. After striking the ground it loses \(50\%\) of its kinetic energy. The height up to which the object can re-bounce from the ground is:
1. \(7.5~\text m\) 2. \(10~\text m\)
3. \(2.5~\text m\) 4. \(5~\text m\)
Q6:
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Subtopic:  Gravitational Potential Energy |
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The potential energy of a long spring when stretched by \(2\) cm is \(U\). If the spring is stretched by \(8\) cm, potential energy stored in it will be: 
1. \(16U\)
2. \(2U\)
3. \(4U\)
4. \(8U\)
Q7:
 71% From NCERT NEET - 2023
Subtopic:  Elastic Potential Energy |
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A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\) cm through the block along its length horizontally, velocity of bullet becomes \(u/3\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:
1. \(30\) cm
2. \(27\) cm
3. \(24\) cm
4. \(28\) cm
Q8:
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Subtopic:  Work Energy Theorem |
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A bullet of mass \(m\) hits a block of mass \(M\) elastically. The transfer of energy is the maximum, when:
1. \(M=m\)
2. \(M=2m\)
3. \(M\ll m\)
4. \(M\gg m\)
Q9:
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Subtopic:  Collisions |
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A particle moves with a velocity \((5\hat i-3\hat j+6\hat k)\) ms–1 horizontally under the action of constant force \((10\hat i+10\hat j+20\hat k)\) N. The instantaneous power supplied to the particle is:
1. \(200\) W
2. zero
3. \(100\) W
4. \(140\) W
Q10:
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Subtopic:  Power |
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