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Q.

Strain energy B stored in unit volume of a rod of diameter ‘d’, subjected to tensile force is ‘u’. Then the strain energy stored in unit volume of a rod of diameter ‘2d’, made of same material and subjected to same tensile force, will be

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a

u / 8

b

u / 16

c

2u

d

4u

answer is B.

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Detailed Solution

Stress =  σ =4Fπd2 and u= σ22Y=8F2π2d4Y σ'=4Fπ2d2=Fπd2 and u'=σ'22Y=F22π2d4Y∴u'u=116⇒u'=u16
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