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Q.

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 :

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a

16 : 1

b

4 : 1

c

8 : 1

d

2 : 1

answer is B.

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Detailed Solution

KEmin1KEmin2=12mu12cos2θ112mu22cos2θ2=41u1cosθ1u2cosθ2=21 PEmax1PEmax2=u12sin2θ12gu22sin2θ22g=41u1sinθ1u2sinθ2=2 R1R2=u122sinθ1cosθ1gu222sinθ2cosθ2g=2×2

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