Question:
A sounding source of frequency 500 Hz moves towards a stationary observer with a velocity 30 m/s. If the velocity of sound in air is 330 m/s find the frequency heard by the observer.
A sounding source of frequency 500 Hz moves towards a stationary observer with a velocity 30 m/s. If the velocity of sound in air is 330 m/s find the frequency heard by the observer.
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A sounding source of frequency 500 Hz moves towards a stationary observer with a velocity 30 m/s. If the velocity of sound in air is 330 m/s find the frequency heard by the observer.
Updated On: Jun 21, 2026
- 500 Hz
- 550 Hz
- 355 Hz
- 55.5 Hz
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The Correct Option is B
Solution and Explanation
To solve this problem, we will use the concept of the Doppler Effect. The Doppler Effect describes the change in frequency (or wavelength) of a wave in relation to an observer moving relative to the wave source.
According to the Doppler Effect, the observed frequency (f') is given by the formula:
\(f' = \frac{c}{c-v_s} \cdot f\)
Where:
- \(f'\) = observed frequency
- \(f\) = source frequency (500 Hz)
- \(c\) = velocity of sound in air (330 m/s)
- \(v_s\) = velocity of the source moving towards the observer (30 m/s)
Substitute the given values into the formula:
\(f' = \frac{330}{330 - 30} \cdot 500\)
\(f' = \frac{330}{300} \cdot 500\)
\(f' = \frac{11}{10} \cdot 500\)
\(f' = 550 \text{ Hz}\)
Therefore, the frequency heard by the observer is 550 Hz.
The correct answer is 550 Hz, which matches the given correct answer.
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