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Q.

A projectile is fixed on a horizontal ground. Coeffient of restituion between the projectile and the ground is e. If a,b and c be the ratio of time of flight [T1T2]  maximum height [H1H2]  and horizontal range [R1R2]  in first two collisions with the ground. Then

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a

a=1e

b

b=1e2

c

c=1e

d

All the above

answer is D.

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Detailed Solution

T1=2usinθg T2=e(2usinθ)g T2=eT1 T1T2=1e H2=e2(usinθ)22s=e2H1 H1H2=1e2 R1R2=2(usinθ)gcosθ2e(usinθ)gcosθ=1e ∴R1R2=1e
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