Question

Dentermine the speed of sound waves in water , and find the wavelength of a wave having a frequency of 242 H_(Z) . Take B_(water) = 2xx10^(9) Pa.

Answer 1

Speed of sound wave:1414m/s

Wavelength:5.84m

1.As speed of sound wave in water=(B/P)^.5

On substituting we get speed:1414m/sec

2.we know that wavelength:V/f

On substituting we get wavelength:5.84m

Answer 2

Speed of sound waves = 1414 m/s  

Wavelength of a wave =  5.84 m

Given:

Frequency of 242 Hz.

$B_{water}$ = 2 x $10^9$ Pa.

To find:

Determine the speed of sound waves in water.

The wavelength of a wave.

Formula used:

Bulk modulus = $\rho v^2$

$\lambda$ = $\frac{v}{f}$

$\lambda$ = wavelength of a wave.

v = speed of sound waves.

f = Frequency

Explanation:

Bulk modulus = $\rho v^2$

    2 x $10^9$ = $10^3$ × v²

Speed of sound waves = $\sqrt{\frac{2\times 10^9}{10^3} }$          

 Speed of sound waves = 1414 m/s

    $\lambda$ = $\frac{v}{f}$ = $\frac{1414}{242}$ = 5.84 m

Speed of sound waves = 1414 m/s  

Wavelength of a wave =  5.84 m.

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