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Question

Physics Question on mechanical properties of solids

Which of the following relation is true?

A

Y=2η(12σ)Y = 2\eta\, \left(1 - 2\sigma\right)

B

Y=2η(1+2σ)Y = 2\eta\, \left(1 + 2\sigma\right)

C

Y=2η(1σ)Y = 2\eta\, \left(1 - \sigma\right)

D

(1+2σ)2η=Y\left(1 + 2\sigma\right) \,2\eta = Y

Answer

(1+2σ)2η=Y\left(1 + 2\sigma\right) \,2\eta = Y

Explanation

Solution

We know that
Y=(1+σ)2ηY=(1+\sigma) 2 \eta