# 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

Subtopic:  Work Energy Theorem |
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NEET - 2023
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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. $$M\gg m$$
Subtopic:  Collisions |
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NEET - 2023
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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
Subtopic:  Power |
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NEET - 2023
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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 $$8U$$
Subtopic:  Elastic Potential Energy |
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NEET - 2023
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Given below are two statements:
 Assertion (A): When a firecracker (rocket) explodes in mid-air, its fragments fly in such a way that they continue moving in the same path, which the firecracker would have followed, had it not exploded. Reason (R): Explosion of cracker (rocket) occurs due to internal forces only and no external force acts for this explosion.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 (A) is false but (R) is true.
Subtopic:  Collisions |
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NEET - 2022
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A gravitational field is present in a region and a mass is shifted from $$A$$ to $$B$$ through different paths as shown. If $$\mathrm{W_1}$$, $$\mathrm{W_2}$$ and $$\mathrm{W_3}$$ represent the work done by the gravitational force along their respective paths, then:
 1 $$\mathrm{W}_1=\mathrm{W}_2=\mathrm{W}_3$$ 2 $$\mathrm{W}_1>\mathrm{W}_2>\mathrm{W}_3$$ 3 $$\mathrm{W}_1>\mathrm{W}_3>\mathrm{W}_2$$ 4 $$\mathrm{W}_1<\mathrm{W}_2<\mathrm{W}_3$$
Subtopic:  Gravitational Potential Energy |
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NEET - 2022
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A block of mass $$m$$ is moving with initial velocity $$u$$ towards a stationary spring of stiffness constant $$k$$ attached to the wall as shown in the figure. Maximum compression of the spring is:
(The friction between the block and the surface is negligible).

 1 $$u\sqrt{\frac{m}{k}}$$ 2 $$4u\sqrt{\frac{m}{k}}$$ 3 $$2u\sqrt{\frac{m}{k}}$$ 4 $$\frac12u\sqrt{\frac{k}{m}}$$
Subtopic:  Elastic Potential Energy |
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NEET - 2022
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A particle of mass $$4M$$ kg at rest splits into two particles of mass $$M$$ and $$3M.$$ The ratio of the kinetic energies of mass $$M$$ and $$3M$$ would be:

 1 $$3:1$$ 2 $$1:4$$ 3 $$1:1$$ 4 $$1:3$$
Subtopic:  Collisions |
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NEET - 2022
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An electric lift with a maximum load of $$2000$$ kg (lift+passengers) is moving up with a constant speed of $$1.5$$ ms–1. The frictional force opposing the motion is $$3000$$ N. The minimum power delivered by the motor to the lift in watts is: (Take $$g=10$$ ms–2)
 1 $$23500$$ 2 $$23000$$ 3 $$20000$$ 4 $$34500$$
Subtopic:  Power |
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NEET - 2022
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The energy that will be ideally radiated by a $$100$$ kW transmitter in $$1$$ hour is:
1. $$1\times 10^{5}$$ J
2. $$36\times 10^{7}$$ J
3. $$36\times 10^{4}$$ J
4. $$36\times 10^{5}$$ J
Subtopic:  Power |
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NEET - 2022
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