Question

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

Y = 2.5K
Y = 3.5K
Y = 4.5K
Y = 9/5K

Answer 1

Y = 4.5 k is answer of your question

Answer 2

Answer:

Y = 4.5K is the correct option.

Explanation:

We know that Y = $\frac{9BS}{S+3B}$

where Y = Young's modulus / modulus of elasticity

           B = Bulk modulus

           S = Shear modulus / modulus of rigidity

According to the representation given here, the formula becomes:

Y = $\frac{9Kh}{h+3K}$

It is given that h = 3K

Therefore, on substitution,

=> Y = $\frac{9K*3K}{3K+3K}$

       = $\frac{27K^2}{6K}$

       = $\frac{9K}{2}$

       = 4.5K

Therefore, Y = 4.5K is the correct option.