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Q.

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

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a

13

b

12

c

32

d

14

answer is B.

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Detailed Solution

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