Which of the following expresses the speed of longitudinal sound waves in a slender…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Which of the following expresses the speed

v

of longitudinal sound waves in a slender metal rod of density

\rho

and Young’s modulus

Y

? (a)

v = 2\sqrt{\dfrac{Y}{\rho}}

(b)

v = \sqrt{\dfrac{Y}{\rho}}

(c)

v = \sqrt{\dfrac{Y}{2\rho}}

(d)

v = \sqrt{\dfrac{2Y}{\rho}}