# When a rubber ball of volume v, bulk modulus K is at a depth h in water then decrease in its volume..

Q: When a rubber ball of volume V, bulk modulus K is at a depth h in water then decrease in its volume is

(a) $\displaystyle \frac{h \rho g V}{K}$

(b) $\displaystyle \frac{h \rho g V}{2K}$

(c) $\displaystyle \frac{h \rho g V}{K}$

(d)$\displaystyle \frac{h \rho g V}{4K}$

Ans: (a)
Bulk Modulus of Elasticity is

$\displaystyle K = \frac{P}{-\Delta V/V}$

$\displaystyle -\Delta V = \frac{P V}{K}$

$\displaystyle = \frac{\rho g h V}{K}$

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