Question

A sound wave in a certain fluid medium is reflected at an obstacle to form a standing wave. The distance between two successive nodes is 3.75 cm. If the velocity of sound is 1500 m/s, find the frequency.

Answer 1

Given : Distance between two successive nodes = λ/2 = 3.75 x 10^-2 m, v =1500 m/s

∴ λ = 7.5 x 10^-2 m

v = n x λ

∴ n = v/λ = \(\frac{1500}{3.75×10^{-2}}\)  = 20 kHz