Question:
A sound source is moving towards a stationary observer with \(\left(\frac{1}{10}\right)^{\text {th }}\) the speed of sound, The ratio of apparent to real frequency is
A sound source is moving towards a stationary observer with \(\left(\frac{1}{10}\right)^{\text {th }}\) the speed of sound, The ratio of apparent to real frequency is
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Use the Doppler formula for a moving source and stationary observer.
Updated On: Nov 13, 2026
- \(\frac{10}{9}\)
- \(\frac{11}{10}\)
- \((\frac{11}{10})^{2}\)
- \((\frac{9}{10})^{2}\)
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept
For a source moving towards a stationary observer, \(f'=f\,\dfrac{v}{v-v_s}\).
Step 2: Substitute
\(v_s=\dfrac{v}{10}\).
Step 3: Calculation
\(\dfrac{f'}{f}=\dfrac{v}{v-v/10}=\dfrac{1}{9/10}=\dfrac{10}{9}\).
Final Answer:
The ratio of apparent to real frequency is 10 by 9. \[ \boxed{\text{(A) }\dfrac{10}{9}} \]
For a source moving towards a stationary observer, \(f'=f\,\dfrac{v}{v-v_s}\).
Step 2: Substitute
\(v_s=\dfrac{v}{10}\).
Step 3: Calculation
\(\dfrac{f'}{f}=\dfrac{v}{v-v/10}=\dfrac{1}{9/10}=\dfrac{10}{9}\).
Final Answer:
The ratio of apparent to real frequency is 10 by 9. \[ \boxed{\text{(A) }\dfrac{10}{9}} \]
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