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Question: For a given material, the Yong’s modulus is 2.4 times that of the modulus of rigidity. Its Poisson’s...

For a given material, the Yong’s modulus is 2.4 times that of the modulus of rigidity. Its Poisson’s ratio is

A

2.4

B

1.2

C

0.4

D

0.2

Answer

0.2

Explanation

Solution

: As Y=2η(1+σ)Y' = 2\eta(1 + \sigma)

Where the symbols have their usual meanings

Given: Y=2.4ηY = 2.4\eta

2.4η=2η(1+σ)\therefore 2.4\eta = 2\eta(1 + \sigma)

1.2=1+σorσ=1.21=0.21.2 = 1 + \sigma or\sigma = 1.2 - 1 = 0.2