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Sound waves of wavelength alpha travelli...

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

A

`lamda`

B

`lamda/2`

C

`2lamda`

D

`4lamda`

Text Solution

Verified by Experts

The correct Answer is:
C
Wavelength of sound waves in the first medius `lambda=(v)/(v)…..(i)`
Wavelength of sound waves in the second medium `lambda=(2v)/(v')….(ii)`
As the frequency of the wave remains unchanged with the change in medium
`therefore v=v' ….(iii)`
Divide (i) by (i), we get
`(lambda')/(lambda)=2`
`or lambda'=2lambda ["Using (iii)"]`
or `lambda'=2lambda`
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