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: Apr 15, 2026
- 500 Hz
- 550 Hz
- 355 Hz
- 55.5 Hz
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Use the Doppler Effect formula for a source moving towards a stationary observer: $$n' = n\left(\frac{v}{v - v_s}\right)$$
Step 2: Values
Given $n = 500$ Hz, $v = 330$ m/s, and $v_s = 30$ m/s.
Step 3: Calculation
$$n' = 500\left(\frac{330}{330 - 30}\right) = 500\left(\frac{330}{300}\right) = 550 \text{ Hz}$$
Step 4: Conclusion
The frequency heard by the observer is 550 Hz.
Final Answer: (B)
Use the Doppler Effect formula for a source moving towards a stationary observer: $$n' = n\left(\frac{v}{v - v_s}\right)$$
Step 2: Values
Given $n = 500$ Hz, $v = 330$ m/s, and $v_s = 30$ m/s.
Step 3: Calculation
$$n' = 500\left(\frac{330}{330 - 30}\right) = 500\left(\frac{330}{300}\right) = 550 \text{ Hz}$$
Step 4: Conclusion
The frequency heard by the observer is 550 Hz.
Final Answer: (B)
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