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A metallic ring of radius 'r' and cross sectional area A is fitted into a wooden circular disc of radius R (R > r) . If the Young's modulus of the material of the ring is Y, the force with which the metal ring expands is :

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a
AYRr
b
AY(R−r)r
c
Y(R−r)Ar
d
YRAR

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detailed solution

Correct option is B

F=YA(ΔLL) =YA(2π(R−r)2πr) =YA(R−rr)


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