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It was calculated that a shell when fired from a gun with a certain velocity and at an angle of elevation 5π/36 radians should strike a given target. In actual practice it was found that a hill just intervened in the trajectory. At what angle of elevation should the gun be fired to hit the target ?

a
5π36radian
b
7π36radian
c
11π36radian
d
13π36radian

detailed solution

Correct option is D

To hit the target, horizontal range should be same so angle of Projection =π2-5π36=13π36 radian.

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Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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