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Q.

A metallic ring of radius 'r' and cross sectional area 2A 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 (Tension developed in the ring) :

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a

2AY(R−r)r 

b

YRAR

c

AYRr

d

Y(R−r)Ar

answer is B.

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Detailed Solution

F=YA(ΔLL) 

=Y2A(2π(R−r)2πr)

=Y2A(R−rr)

 

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