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NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Mechanical Properties of Solids

NEET 2019 · Physics · Mechanical Properties of Solids

When a block of mass M is suspended by a long wire of length L ,...

When a block of mass MM is suspended by a long wire of length LL, the length of the wire becomes \left(L + l\right) .$ The elastic potential energy stored in the extended wire is

Options

  1. AMglMgl
  2. BMgLMgL
  3. C12Mgl\dfrac{1}{2}Mgl
  4. D12MgL\dfrac{1}{2}MgL

Correct answer

C. 12Mgl\dfrac{1}{2}Mgl

Step-by-step solution

12K(l)2=\dfrac{1}{2}K{\left(l\right)}^{2} = energy
K(l)=MgK\left(l\right) = Mg
K=MglK = \dfrac{Mg}{l}
∴∴ Energy =12Kl2=12Mgll2= \dfrac{1}{2}K{l}^{2} = \dfrac{1}{2}\dfrac{Mg}{l}{l}^{2}
=Mgl2= \dfrac{Mgl}{2}
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