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Can someone help me with this, A source of sound of frequency 500 Hz is moving towards an observer with velocity 30 m/s. The speed of sound is 330 m/s. The frequency heard by the observer is

A source of sound of frequency 500 Hz is moving towards an observer with velocity 30 m/s. The speed of sound is 330 m/s. The frequency heard by the observer is

  • Option 1)

    550 Hz

  • Option 2)

    458.3 Hz

  • Option 3)

    530 Hz

  • Option 4)

    545 Hz

 
Answers (1)
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v' = \frac{c}{c- v_{s}} X v_{o} \Rightarrow \frac{330}{330-30} X 500 \Rightarrow v' = 550 Hz

 

Frequency of sound when observer is stationary and source is moving towards observer -

\nu {}'= \nu _{0}.\frac{C}{C-V_{s}}
 

- wherein

C= speed of sound

V_{s}= speed of source

\nu _{0}= original frequency

\nu {}'= apparent frequency

 

 

 


Option 1)

550 Hz

This is correct.

Option 2)

458.3 Hz

This is incorrect.

Option 3)

530 Hz

This is incorrect.

Option 4)

545 Hz

This is incorrect.

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