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Questions  

A metal wire of length L, area of cross – section A and Young’s modulus Y is stretched by a variable force F such that F is always slightly greater than the elastic forces of resistance in the wire.  When the elongation of the wire is

a
the work done by F isYAl22L
b
the work done by F isYAl2L
c
the elastic potential energy stored in the wire isYAl22L
d
the elastic potential energy stored in the wire isYAl24L

detailed solution

Correct option is A

F=YAlL W=∫0lYAlLdl⇒W=12YA(lL)2L

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