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Questions  

Force constants of two wires A and B of the same material are k and 2k, respectively. If the two wires
are stretched equally, then the ratio of work done in stretching WAWB is 

a
13
b
12
c
32
d
14

detailed solution

Correct option is B

Work done in a stretched wire, W=12kx2Given,    kA=k and kB=2k⇒  WA=12kx2and   WB=12(2k)x2=kx2Hence, the ratio of work done in stretching the wires.WAWB=(1/2)kx2kx2⇒WAWB=12

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Similar Questions

Two similar springs P and Q have spring constants Kp and KQ such that Kp > KQ. They are stretched first by the same amount (case a), then by the same force (case b). The work done by the springs WP and WQ are related as, in case (a) and case (b), respectively.


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