The symbols, Y,K and `eta` represent the Young's modulus, bulk modulus and rigidty modulus of the material of a body. If `eta = 3 K`, then

Options

A. `Y=4.5K`
B. `Y=3.5K`
C. `Y=(9//5)K`
D. `Y=(18//5)K`

Answer

A

Explanation

`(3)/(y)=(1)/(eta) +(1)/(3k)`
`(3)/(y)=(1)/(3k)+(1)/(3k)`
`=(3)/(y)=(2)/(3k)`
`y=(9k)/(2)=4.5k`.