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A particle is projected with a velocity ν, so that its range on a horizontal plane is twice the greatest height attained. If g is acceleration due to gravity, then its range is

a
4v25g
b
4g5v2
c
4v35g2
d
4v5g2

detailed solution

Correct option is A

H=v2sin2⁡θ2g and R=v2sin⁡2θgSince, R=2H, so v2sin⁡2θg=2v2sin2⁡θ2gor 2sin⁡θcos⁡θ=sin2⁡θ or tan⁡θ=2∴R=v22gsin⁡θcos⁡θ=2v2g2515=4v25g

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Similar Questions

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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