A sculptor strikes a piece of marble with a hammer. Find the speed of sound through the marble (in km/s). (The Young's modulus is 50 × 10⁹ N/m² and its density is 2.7 × 10³ kg/m³.) A) 5.1 B) 4.3 C) 3.5 D) 1.3 E) 1.8

Question

Quizplus · Accepted Answer

The speed of sound in a material is given by: 
v = √(Y/ρ), 
where Y is the Young's modulus and ρ is the density of the material. 
Plugging in the given values, we get: 
v = √(50 × 10^9 N/m^2 / 2.7 × 10^3 kg/m^3) = 4.3 km/s 
Therefore, the answer is choice B.

A Sculptor Strikes a Piece of Marble with a Hammer