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MHT CET 202626 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
26 April
Shift
Morning Shift
Subject
Physics
Chapter
Waves and Sound

MHT CET 2026 · 26 April · Morning Shift · Physics · Waves and Sound

The source is emitting sound of frequency 'n'. A source and a...

The source is emitting sound of frequency 'n'. A source and a listener both are moving towards each other with a speed equal to (V3)\left(\dfrac{V}{3}\right), where V is the speed of sound. The frequency heard by the listener will be

Options

  1. An3\dfrac{n}{3}
  2. Bn2\dfrac{n}{2}
  3. C2n2n
  4. D3n3n

Correct answer

C. 2n2n

Step-by-step solution

The apparent frequency heard by the listener is given by the Doppler effect formula:

n′=n(V+vLV−vS)<br><br>Sincebothn' = n \left( \dfrac{V + v_L}{V - v_S} \right)<br><br>Since both the sourceandthelisteneraremovingtowardseachotherwithspeedV3:<br><br>source and the listener are moving towards each other with speed \dfrac{V}{3}:<br><br> v_L = V3<br><br>\dfrac{V}{3}<br><br> v_S = V3<br><br>Substitutingthesevaluesinto\dfrac{V}{3}<br><br>Substituting these values into the formula:

n' = n \left( \dfrac{V + \dfrac{V}{3}}{V - \dfrac{V}{3}} \right)<br><br><br><br>n' = n \left( \dfrac{\dfrac{4V}{3}}{\dfrac{2V}{3}} \right)

n′=2nn' = 2n

Answer: 2n
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