Question

An listener is moving towards a stationary source of sound with a speed (1/4) times the speed of sound. What will be the percentage increase in the frequency of sound heard by the listener? (A) $20 \%$ (B) $25 \%$ (C) $2.5 \%$ (D) $5 \%$

Name: Problem 1453, Chapter 10: JEE Physics
Uploaded: 2021-11-12T15:22:37-08:00
Duration: 1 min 31 s
Channel: Akshaya Rs
Description: An listener is moving towards a stationary source of sound with a speed (1/4) times the speed of sound. What will be the percentage increase in the frequency of sound heard by the listener? (A) 20 % (B) 25 % (C) 2.5 % (D) 5 %

   An listener is moving towards a stationary source of sound with a speed (1/4) times the speed of sound. What will be the percentage increase in the frequency of sound heard by the listener?
(A) $20 \%$
(B) $25 \%$
(C) $2.5 \%$
(D) $5 \%$

JEE Physics

StemEZ 1st Edition

Chapter 10, Problem 1453

Instant Answer

Solved by Expert Akshaya Rs

11/12/2021

Step 1

Step 1: The frequency of sound heard by the listener when he is moving towards the source is given by the formula: \[f' = f \frac{v + v_0}{v}\] where $f'$ is the apparent frequency, $f$ is the actual frequency, $v$ is the speed of sound, and $v_0$ is the Show more…

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An listener is moving towards a stationary source of sound with a speed (1/4) times the speed of sound. What will be the percentage increase in the frequency of sound heard by the listener? (A) $20 \%$ (B) $25 \%$ (C) $2.5 \%$ (D) $5 \%$

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Key Concepts

Doppler Effect

The Doppler effect explains the change in the frequency of a wave as perceived by an observer when there is relative motion between the source and the observer. This concept is fundamental in understanding how movement towards or away from a source alters the observed sound frequency.

Relative Motion

Relative motion is the basis for the observed frequency change in the Doppler effect. When the observer moves towards a stationary sound source, the speed at which the sound waves are encountered increases, leading to a higher observed frequency.

Frequency Shift Calculation

The frequency shift calculation involves determining the ratio of the observed frequency to the actual frequency based on the relative velocity and the speed of sound. Specifically, for a listener moving towards a sound source, the observed frequency is increased by a factor that depends on the listener's speed as a fraction of the speed of sound.

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