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Q.

A person takes an aim at a monkey sitting on a tree and fires a bullet. Seeing the smoke the monkey begins to fall freely; then the bullet will:

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a

Hit the monkey

b

Go above the monkey

c

Go below the monkey

d

Hit the monkey if the initial velocity of the bullet is more than a definite velocity

answer is D.

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Detailed Solution

Because of gravity the bullet has an acceleration g  vertically downwards, so in time t  the bullet will reach a heighty=xtanθ−12gt2=H−12gt2=H−hThe monkey will freely in time t  ash=M0M1=H−y=12gt2∴  Bullet and monkey both will always be at M1  after same time what ever may be velocity of bullet. Thus, bullet will always hit the monkey.
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