First slide

Doppler's effect

Question

The wavelength is 120 cm when the source is stationary. If the source is moving with relative velocity of 60 m/sec towards the observer, then the wavelength of the sound wave reaching to the observer will be (velocity of sound = 330 m/s)

Moderate

A

98 cm
B

140 cm
C

120 cm
D

144 cm

Solution

$n^{'} = n (\frac{v}{v - v_{s}}) \Rightarrow λ^{'} = λ (\frac{v - v_{S}}{v})$
$\Rightarrow λ^{'} = 120 (\frac{330 - 60}{330}) = 98 cm .$

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