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An elastic spring of length L and of for...

An elastic spring of length L and of force constant k is stretched to increase its length by an amount x. The spring is further stretched to elongate it by y. The amount of work done in stretching the spring in the second case ( x and y are very small) is

A

`1/2ky^2`

B

`1/2k(x^2+y^2)`

C

`1/2k(x+y)^2`

D

`1/2ky(2x+y)`

Text Solution

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The correct Answer is:
D
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