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The relationship between Young's modulus...

The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity `eta` is

A

`Y= (9 eta K)/(eta + 3K)`

B

`(9 YK)/(Y + 3K)`

C

`Y= (9 eta K)/(3+ K)`

D

`Y= (3 eta K)/(9 eta + K)`

Text Solution

Verified by Experts

The correct Answer is:
A
`Y= 2 eta (1 + sigma) rArr sigma = (Y)/(2 eta)- 1` ...(i)
`Y= 2K (1- 2 sigma)` ...(ii)
By eq. (i) and (ii)
`rArr (9)/(Y) = (1)/(K) + (3)/(eta) rArr Y= (9 eta K)/(eta + 3K)`
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