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BITSAT 2018 Paper

Section: Physics

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Question : 17 of 150

Marks: +1, -0

A hunter aims his gun and fires a bullet directly at a monkey on a tree. At the instant the bullet leaves the barrel of the gun, the monkey drops. Pick the correct statement regarding the situation.

The bullet will never hit the monkey
The bullet will always hit the monkey
The bullet may or may not hit the monkey
Can’t be predicted

Solution:

T =

\frac{OC}{u\cos\theta}

=

\frac{x}{u\cos\theta}

AC = x tan θ

BC = distance travelled by bulletin time t, vertically.

y = u sin θ t -

\frac{1}{2}gt^2

AB = x tan θ - (u sin θt -

\frac{1}{2}gt^2

)

= x tan θ - (u sin θ ×

\frac{x}{\cos\theta}

-

\frac{1}{2}gt^2

)

⇒ distance trevelled by monkey

= x tan q – x tan q +

\frac{1}{2}gt^2

=

\frac{1}{2}gt^2

(∴ bullet will always hit the monkey)

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