Ncert Exercises & Solutions

Sound waves of wavelength $λ$ travelling in a medium with a speed of v m/s enter into another medium where its speed is 2v m/s. The wavelength of sound waves in the second medium is:

1. $λ$

2. $\frac{λ}{2}$

3. $2 λ$

4. $4 λ$

(3) Hint: The frequency of the wave remains the same.

Step 1: Find the wavelength of the wave in the second medium.

Let the frequency in the first medium is

$ν$ and in the second medium is $ν'$ .

Frequency remains the same in both the medium.

So,

$ν = ν' \Rightarrow \frac{v}{λ} = \frac{v'}{λ'}$

$\Rightarrow$

$λ' = (\frac{v'}{v}) λ$

And v and v' are speeds in the first and second medium respectively.

So,

$λ' = (\frac{2 v}{v}) λ = 2 λ$

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