wave_mechanics dopplers_effect Question 3

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)

Options:

A) 98 cm

B) 140 cm

C) 120 cm

D) 144 cm

Show Answer

Answer:

Correct Answer: A

Solution:

$ {n}’=n( \frac{v}{v-v _{s}} ) $

Therefore $ {\lambda }’=\lambda ( \frac{v-v _{S}}{v} ) $

Therefore $ {\lambda }’=120( \frac{330-60}{330} )=98cm.

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