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Q.

When a block of mass M is suspended by a long wire of length L, the length of the wire becomes (L + l). The elastic potential energy stored in the extended wire is

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a

1/2 Mgl

b

1/2 MgL

c

Mgl

d

MgL

answer is A.

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Detailed Solution

Elastic potential energy is

Stress= ForceArea=MgA

Strain=elongationLength=lL
U=12F.e.V=12MgA.lLAL=12Mgl

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When a block of mass M is suspended by a long wire of length L, the length of the wire becomes (L + l). The elastic potential energy stored in the extended wire is