Question

Sound waves of wavelength alpha travelling in a medium with a speed of v m s^(-1) enter into another medium where its speed is 2v m s^(-1). Wavelength of sound waves in the second medium is

Answer 1

Sound waves of wavelength λ travelling in a medium with a speed of vms

−1

enter into another medium where its speed is 2vms

−1

. Wavelength of sound waves in the second medium is

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ANSWER

Wavelength of sound waves in the first medium,

λ=

ν

v

.......(i)

Wavelength of sound waves in the second medium,

λ

′

=

ν

′

2v

........(ii)

As the frequency of the wave remains unchanged with the change in medium

∴ν=ν

′

.........(iii)

Divide (ii) by (i), we get

λ

λ

′

=2

or λ

′

=2λ

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