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Questions  

A solid sphere rests on a horizontal surface. A horizontal impulse is applied at height h from centre. The sphere starts rolling just after the application of impulse. The
ratio h/r will be 

a
12
b
25
c
15
d
23

detailed solution

Correct option is B

Rolling is rotation about point of contact. Applying impulse momentum equation about P.J(R+h)=IPω     .....(i) and J=mv         ......(ii)  As sphere rolls v=ωR, and I=25mR2+mR2=75mR2 After solving, we get hR=25

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