Question

a sound wave is determined to have a frequency of 1,000 hz and wavelength of 35cm. what is the speed of this wave?

Answer 1

Answer:

The speed of the sound wave is 350 m$s^{-1}$

Explanation:

Given

Frequency of sound wave = 1000Hz = 1000$s^{-1}$ (since 1 $s^{-1}$ = 1 Hertz (Hz))

Wavelength of sound wave = 35 cm

Speed of sound wave = ?

All waves have same the relation among frequency, sound and speed which is given by

v=fλ , where

v is the speed

f is frequency

λ is wavelength

Therefore, the speed of sound wave = 1000$s^{-1}$ x 35 cm

                                                              = 35000 cm$s^{-1}$

                                                              = 350 m$s^{-1}$

Hence the speed of the sound wave is 350 m$s^{-1}$