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 = 2.5 K
B. Y = 3.5 K
C. Y = 4.5 K
D. `Y = (9)/(5) K`

Answer

c

Explanation

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