Question

50 waves pass through a point in 0.1 second. If the distance between the crest and adjacent trough of the wave is 0.34 m. What will be the frequency and wavelength of sound waves?

• A. 250 Hz ; 34 cm
• B. 500 Hz ; 68 cm
• C. 250 Hz ; 68 cm
• D. 500 Hz ; 34 cm

Answer 1

The correct option is B 500 Hz ; 68 cm

Distance between a crest & adjacent trough is half of the wavelength.
$\frac{\lambda }{2}=0.34$
$\lambda =0.68m$
Hence, the wavelength is 0.68 m.
50 waves passes a point in 0.1 s
Therefore, no. of waves passing the same point in 1s
$=\frac{50}{0.1}=500waves$

Frequency = 500 Hz