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Questions  

Ratio of minimum kinetic energies of two projectiles of same mass is 4 : 1. The ratio of the maximum height attained by them is also 4 : 1. The ratio of their ranges would be :

a
16 : 1
b
4 : 1
c
8 : 1
d
2 : 1

detailed solution

Correct option is B

KEmin1 KEmin2 =12mu12cos2⁡θ112mu22cos2⁡θ2=41⇒u1cos⁡θ1u2cos⁡θ2=21 PEmax1 PEmax2 =u12sin2⁡θ12gu22sin2⁡θ22g=41⇒u1sin⁡θ1u2sin⁡θ2=2 R1R2=u122sin⁡θ1cos⁡θ1gu222sin⁡θ2cos⁡θ2g=2×2

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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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