Question

If velocity of sound in air is 340 $m{s}^{-1}$, calculate frequency when wavelength is 0.85 m :

• A. 400 Hz
• B. 240 Hz
• C. 340 Hz
• D. 385 Hz

Answer 1

The correct option is A 400 Hz

The relationship between the velocity of the sound, its wavelength and frequency is given by the formula $v=\lambda \times f$,

where, $v$ - velocity of the wave

$\lambda$- wavelength of the wave

$f$ - frequency of the wave.

In the question, it is given that the velocity of the wave is 340 m/s and the wavelength is 0.85 m.

Now the frequency is calculated as follows.
$v=\lambda \times f$,

That is, $f=\frac{v}{\lambda }$.

$f=\frac{340}{0.85m}=400Hz$.

Hence, the frequency of the wave is 400 Hz.