Question

A ball falling in a lake depth $200\, m$ shows a decrease of $0.1 \%$ in its volume at the bottom then the bulk modulus of the material of the ball is:

• A. $19.6 \times 10^{8} N / m ^{2}$
• B. $19.2 \times 10^{7} N / m ^{2}$
• C. $24 \times 10^{9} N / m ^{2}$
• D. $24 \times 10^{5} N / m ^{2}$

Answer 1

Answer: (A)

$19.6 \times 10^{8} N / m ^{2}$

Answer 2

$K =\frac{\Delta p}{\text { Volume strain }}$
$=\frac{h d g}{\text { Volume strain }}$
$=\frac{200 \times 10^{3} \times 9.8}{0.1 \times 10^{-2}}$
$=19.6 \times 10^{8} \,N / m ^{2}$