A wire is stretched by hanging a weight from its end and develops a longitudinal strain σ1, Y being the Young's modulus, elastic potential energy of the wire per unit volume can be expressed as:
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a
Yσl2
b
Yσl22
c
3Yσl22
d
Yσl24
answer is B.
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Detailed Solution
Elastic potential energy per unit volume=12×stress×strain =12×Y×(strain)2=12Yσl2