Question

A sound wave of frequency 15kHz travels through a rock at a speed of 3600 m/s. Calculate wavelength of this sound.

Answer 1

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Answer 2

Given:-

• Frequency ,f = 15kHz
• Speed ,s = 3600m/s

To Find:-

• wavelength,λ

Solution:-

According to the Question

It is given that the sound wave of frequency 15kHz travels through a rock at a speed of 3600 m/s.

Conversion of Unit

→ f = 15kHz

→ f = 15×1000

→ f = 15000Hz

we have to calculate the wavelength of the sound wave .

As we know the relationship between frequency , speed & wavelength .

• s = fλ

where,

• s denote speed
• f denote frequency
• λ denote wavelength

Substitute the value we get

→ 3600 = 15000 × λ

→ 3600/15000 = λ

→ λ = 3600/15000

→ λ = 36/150

→ λ = 0.24m

→ λ = 0.24 × 100cm

→ λ = 24cm

• Hence, the wavelength of the sound is 24 cm .