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}

Author: Rajesh Jha

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