Question:

A source and an observer are moving towards each other with a speed equal to $v/2$, where $v$ is the speed of sound. The source is emitting sound of frequency $n$. The frequency heard by one observer will be

Updated On: Jul 5, 2022
  • zero
  • $n$
  • $\frac {n}{3}$
  • $3n$
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The Correct Option is D

Solution and Explanation

When the source and ouserver are approaching towards each other then apparent frequency heard by the observer is $n'=\left(\frac{v+v_{0}}{v-v_{0}}\right) n $ $=\frac{\left(v+\frac{v}{2}\right)}{\left(v+\frac{v}{2}\right)} n $ $n'=\left(\frac{3}{2} \times \frac{2}{1}\right) n=3 n$
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Concepts Used:

Doppler Effect

The Doppler effect is a phenomenon caused by a moving wave source that causes an apparent upward shift in frequency for observers who are approaching the source and a visible downward change in frequency for observers who are retreating from the source. It's crucial to note that the impact isn't caused by a change in the source's frequency.

 

 

 

 

 

 

 

 

 

 

The Doppler effect may be seen in any wave type, including water waves, sound waves, and light waves. We are most familiar with the Doppler effect because of our encounters with sound waves