Physics Elasticity Question 88

Question: If x longitudinal strain is produced in a wire of Young’s modulus y, then energy stored in the material of the wire per unit volume is

[MP PMT 1987, 89, 92; CPMT 1997; Pb. PMT 1999; KCET 2000; AIIMS 2001]

Options:

A) $ yx^{2} $

B) $ 2,yx^{2} $

C) $ \frac{1}{2}y^{2}x $

D) $ \frac{1}{2}yx^{2} $

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Answer:

Correct Answer: D

Solution:

Energy stored per unit volume$ =\frac{1}{2}\times r\times r $

$ =\frac{1}{2}\times \text{Young }!!’!!\text{ s modulus }\times {{\text{(Strain)}}^{r}}=\frac{1}{2}\times Y\times x^{2} $