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Question

Y,K,η represent respectively the youngs modulus,bulk modulus and rigidity modulus of a body. If rigidity modulus is twice the bulk modulus, then

A
Y=5K/18
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B
Y=5η/9
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C
Y=9K/5
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D
Y=18K/5
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Solution

The correct option is D Y=18K/5
Given, young's modulus =Y bulk modulus =K modulus of rigidity =η We know that, Y=3k(12σ)Y=2n(1+σ) where σ is the stress applied.


Now, on eliminatingσ from above equations, we get Y=9nkη+3k


Given, η=2 KY=18 K5 Hence, option D is the correct answer.

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