Question

A source of sound produces waves of wavelength 0.80 m in air. The same source of sound produces waves of wavelength 4.0 m in water. If the velocity of sound in air=332 ms !, find the velocity of sound in water​

Answer 1

Answer:

A source of sound produces waves of wavelength 0.80 m in air. The same source of sound produces waves of wavelength 4.0 m in water. If the velocity of sound in air=332 ms.  The velocity of sound in water will be​ $1660\ m/s$

Explanation:

The expression for velocity (v) of a wave in a medium  is given by the expression,

        $v=f \lambda$      

       that is,

       $f = \frac{v}{\lambda}$      ...(1)

  where f is the frequency and $\lambda$ is the wavelength of the wave.

Since the source of the wave is the same, the frequency of waves produced in water and glass will have the same value.

In the question, it is given that,

the wavelength of sound in air          =   $0.80m$

the speed of sound in air                   =    $332\ m/s$      

Using equation(1),

frequency of sound,

$f = \frac{332}{0.80} = 415 Hz$

Given,

The wavelength of the sound wave in the water =   $4.0\ m$

The velocity of sound in air  =    $330\ m/s$

Using equation(2),

The velocity of sound in water  =    $415\times 4 = 1660\ m/s$