The bulk modulus of mercury is 2.85 × 10¹⁰ N/m². If the density of mercury is 1.36 × 10⁴ kg/m³, then what is the speed of sound in mercury? A) 2.44 × 10⁸ m/s B) 2.10 × 10⁶ m/s C) 1.45 × 10³ m/s D) 6.91 × 10⁻⁴ m/s E) 4.77 × 10⁻⁷ m/s

Question

Quizplus · Accepted Answer

The speed of sound in a medium is given by the formula $ v = \sqrt{\frac{B}{\rho}} $, where $ B $ is the bulk modulus and $ \rho $ is the density. Substituting the given values, $ v = \sqrt{\frac{2.85 \times 10^{10}}{1.36 \times 10^{4}}} \approx 1.45 \times 10^{3} $ m/s.

The Bulk Modulus of Mercury Is 2