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A sound source is moving towards stationary listener with 1/10th of the speed of sound. The ratio of apparent to real frequency is
- a)11/10
- b)(11/10)2
- c)(9/10)2
- d)10/9
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A sound source is moving towards stationary listener with 1/10th of th...
apparent to the real frequency is
Now, Substituting Vs = 1/10 c
then we get
Now, Substituting Vs = 1/10 c
then we get
Most Upvoted Answer
A sound source is moving towards stationary listener with 1/10th of th...
Explanation:
When a sound source is moving towards a stationary listener, the frequency of the sound waves received by the listener appears to be higher than the actual frequency of the source. This phenomenon is known as the Doppler effect.
The Doppler effect can be expressed using the formula:
Apparent frequency = (Speed of sound + Speed of observer) / (Speed of sound + Speed of source) * Actual frequency
In this case, the sound source is moving towards the stationary listener with 1/10th of the speed of sound. Let's assume the speed of sound is 'v' and the speed of the sound source is 'u'.
Therefore, according to the given information:
Speed of sound = v
Speed of observer (listener) = 0 (stationary)
Speed of source = u = (1/10)v
Calculating Apparent Frequency:
Using the Doppler effect formula, we can calculate the apparent frequency:
Apparent frequency = (v + 0) / (v + (1/10)v) * Actual frequency
= v / (11/10)v * Actual frequency
= 10/11 * Actual frequency
Therefore, the ratio of the apparent frequency to the actual frequency is 10/11.
Final Answer:
The correct option is (d) 10/9.
When a sound source is moving towards a stationary listener, the frequency of the sound waves received by the listener appears to be higher than the actual frequency of the source. This phenomenon is known as the Doppler effect.
The Doppler effect can be expressed using the formula:
Apparent frequency = (Speed of sound + Speed of observer) / (Speed of sound + Speed of source) * Actual frequency
In this case, the sound source is moving towards the stationary listener with 1/10th of the speed of sound. Let's assume the speed of sound is 'v' and the speed of the sound source is 'u'.
Therefore, according to the given information:
Speed of sound = v
Speed of observer (listener) = 0 (stationary)
Speed of source = u = (1/10)v
Calculating Apparent Frequency:
Using the Doppler effect formula, we can calculate the apparent frequency:
Apparent frequency = (v + 0) / (v + (1/10)v) * Actual frequency
= v / (11/10)v * Actual frequency
= 10/11 * Actual frequency
Therefore, the ratio of the apparent frequency to the actual frequency is 10/11.
Final Answer:
The correct option is (d) 10/9.
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A sound source is moving towards stationary listener with 1/10th of the speed of sound. The ratio of apparent to real frequency isa)11/10b)(11/10)2c)(9/10)2d)10/9Correct answer is option 'D'. Can you explain this answer?
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