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Two spreings A and B(kA=2kB) ar stretche...

Two spreings A and B`(k_A=2k_B)` ar stretched by applying forces of equa magnitudes at the foru ends. If the energy stored in A is E, that in B is

A

`E//2`

B

`2E`

C

`E`

D

`E//4`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `k_A = 2k_B = K implies F = k_A x_A = k_B x_B implies x_A = F/K & x_B = (2F)/(K)`
`U_A - 1/2 k_A xx x_A^2 = 1/2 K(F/K)^2 = F/(2K) = E" "," " U_(B) = 1/2 k_Bx_B^2 = 1/2 k_B x^B^2 = 1/2K/2 ((2F)/(K))^(2) = (F^2)/K = 2E`.
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