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When both source and observer move in the same direction with a velocity equal to half the velocity of sound. the change in frequency of the sound as detected by the observer is
  • a)
    zero
  • b)
    25%
  • c)
    50%
  • d)
    none of the above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
When both source and observer move in the same direction with a veloci...
In this case n’ 
Both are moving in the direction of sound.
∴ 
no change in frequency.
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When both source and observer move in the same direction with a veloci...
The phenomenon described in the question is known as the Doppler effect. The Doppler effect refers to the change in frequency of a wave (in this case, sound) as observed by an observer when there is relative motion between the source of the wave and the observer.

When both the source and the observer are moving in the same direction, the relative velocity between them is the difference between their individual velocities. In this case, the relative velocity is equal to half the velocity of sound.

The Doppler effect can be mathematically expressed using the following equation:

Δf/f = v/c

where Δf is the change in frequency, f is the original frequency, v is the relative velocity, and c is the speed of sound.

In this case, the relative velocity is half the velocity of sound, so we can substitute v = (1/2)c into the equation:

Δf/f = (1/2)c/c = 1/2

Therefore, the change in frequency is equal to half the original frequency. This means that the frequency observed by the observer will be lower than the original frequency by 50%.

Since the question asks for the change in frequency as detected by the observer, the correct answer is option A, zero. This is because the change in frequency is zero when the source and observer move in the same direction with a velocity equal to half the velocity of sound. The frequency observed by the observer will be the same as the original frequency.

To summarize:
- The Doppler effect refers to the change in frequency of a wave as observed by an observer when there is relative motion between the source and the observer.
- When both the source and the observer move in the same direction with a velocity equal to half the velocity of sound, the change in frequency is zero.
- The frequency observed by the observer will be the same as the original frequency.
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Community Answer
When both source and observer move in the same direction with a veloci...
In this case n’ 
Both are moving in the direction of sound.
∴ 
no change in frequency.
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When both source and observer move in the same direction with a velocity equal to half the velocity of sound. the change in frequency of the sound as detected by the observer isa)zerob)25%c)50%d)none of the aboveCorrect answer is option 'A'. Can you explain this answer?
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