A cricket ball of mass \(150~\text{g}\) moving with a speed of \(126~\text{km/h}\) hits at the middle of the bat, held firmly at its position by the batsman. The ball moves straight back to the bowler after hitting the bat. Assuming that collision between ball and bat is completely elastic and the two remains in contact for \(0.001~\text{s}\), the force that the batsman had to apply to hold the bat firmly at its place would be:
1. \(10.5~\text{N}\)
2. \(21~\text{N}\)
3. \(1.05\times10^{4}~\text{N}\)
4. \(2.1\times 10^{4}~\text{N}\)

Subtopic:  Collisions |
 78%
From NCERT
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A man of mass \(m,\) standing at the bottom of the staircase, of height \(L,\) climbs it and stands at its top.

a. work done by all forces on man is equal to the rise in energy \(mgL.\)
b. work done by all forces on man is zero.
c. work done by the gravitational force on man is \(mgL.\)
d. the reaction force from a step does not do work because the point of the application of the force does not move while the force exists.

Choose the correct option:
1. (a, d)
2. (a, c)
3. (b, d)
4. (a, b, c)

Subtopic:  Concept of Work | Work Energy Theorem |
From NCERT
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A bullet of mass \(m\) fired at \(30^\circ\) to the horizontal leaves the barrel of the gun with a velocity \(v.\) The bullet hits a soft target at a height \(h\) above the ground while it is moving downward and emerge out with half the kinetic energy it had before hitting the target. Consider the following statements.

a. the velocity of the bullet will be reduced to half its initial value.
b. the velocity of the bullet will be more than half of its earlier velocity.
c. the bullet will continue to move along the same parabolic path.
d. the bullet will move in a different parabolic path.
e. the bullet will fall vertically downward after hitting the target.
f. the internal energy of the particles of the target will increase.


Which of the above-given statement(s) is/are correct in respect of the bullet after it emerges out of the target?

1. (a), (c), (f)
2. (a), (d), (f)
3. (b), (d, (f)
4. (a), (b), (c)
Subtopic:  Work Energy Theorem |
 50%
From NCERT
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A proton is kept at rest. A positively charged particle is released from rest at a distance d in its field. Consider two experiments; one in which the charged particle is also a proton and in another, a positron. At the same time t, the work done on the two moving charged particles is

1. same as the same force law is involved in the two experiments.
2. less for the case of a position, as the position moves away more rapidly and the force on it weakens.
3. more for the case of a position, as the position moves away from a larger distance.
4. same as the work done by cha particle on the stationary proton.

Subtopic:  Concept of Work |
From NCERT
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A man squatting on the ground gets straight up and stands. The force of reaction of the ground on the man during the process is

1. constant and equal to mg in magnitude.
2. constant and greater than mg in magnitude.
3. variable but always greater than mg.
4. at first, greater than mg and later becomes equal to mg.

Subtopic:  Concept of Work |
From NCERT
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A bicyclist comes to a skidding stop in \(10\) m. During this process, the force on the bicycle due to the road is \(200\) N is directly opposed to the motion. The work done by the cycle on the road is:
1. \(+2000\) J
2. \(-200\) J
3. zero
4. \(-20000\) J

Subtopic:  Work done by constant force |
 58%
From NCERT
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A body is falling freely under the action of gravity alone in a vacuum. Which of the following quantities remain constant during the fall?

1. kinetic energy
2. potential energy
3. total mechanical energy
4. total linear momentum

Subtopic:  Gravitational Potential Energy |
 81%
From NCERT
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During an inelastic collision between two bodies, which of the following quantities always remain conserved?

1. total kinetic energy         
2. total mechanical energy
3. total linear momentum   
4. speed of each body
Subtopic:  Collisions |
 81%
From NCERT
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Two inclined frictionless tracks, one gradual and the other steep meet at \(A\) from where two stones are allowed to slide down from rest, one on each track as shown in the figure.

Which of the following statement is correct?

        

1. Both stones reach the bottom at the same time but not at the same speed.
2. Both the stones reach the bottom with the same speed and stone I reaches the bottom earlier than stone II.
3. Both the stones reach the bottom with the same speed and stone II reaches the bottom earlier than stone I.
4. Both stones reach the bottom at different times and at different speeds.



 

Subtopic:  Gravitational Potential Energy |
 62%
From NCERT
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The potential energy function for a particle executing linear SHM is given by V(x)=12kx2 where k is the force constant of the oscillator (Fig). For k = 0.5 N/m, the graph of V(x) versus x is shown in the figure. A particle of total energy E turns back when it reaches x=±m. If V and K indicate the PE and KE, respectively of the particle at x=+m, then which of the following is correct?



1. V=0, K=E
2. V=E, K=0
3. V<E, K=0
4. V=0, K,E

Subtopic:  Elastic Potential Energy |
 71%
From NCERT
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