Q. Speed of sound in mercury at a certain temperature is $1450\ m/s.$ Given the density of mercury as $13.6 \times 10^{3}kg/m^{3},$ the bulk modulus for mercury is
A) $2.86 \times 10^{10}N/m^{3}$
B) $3.86 \times 10^{10}N/m^{3}$
C) $4.86 \times 10^{10}N/m^{3}$
D) $5.86 \times 10^{10}N/m^{3}$
Explanation
(a) $v = \sqrt{\frac{K}{\rho}}\ \therefore K = v^{2}\rho = 2.86 \times 10^{10}N/m^{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.