Question

A sound wave has a frequency of 741 hz in air a wavelength of 0.47m what is the temperature of the air as soon as the below city of sound at 0°C is 235 m/s

Answer 1

Temperature when sound wave with wavelength 0.47m has frequency 741 hz is 188 degrees Centigrade.

Explanation:

Given:

Speed of sound at 0 degrees centigrade = 235 ms

frequency = f = 741 hz

wavelength = w = 0.47m

speed of sound wave = wavelength * frequency = 741 * 0.47 = 348.27 m/s

Using the formula for speed of sound at a specific temperature:

Speed of sound at T degrees Centigrade = Speed of sound at 0 degrees + 0.6 * T

When speed of sound is 348 m/s, the temperature is given by:

348 = 235 + 0.6(T)

T = (348-235)/0.6

T = 188 degrees Centigrade