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The minimum distance between the source and the reflector, so that an echo is heard is approximately equal to ______.
  • a)
    10 m
  • b)
    17 m
  • c)
    34 m
  • d)
    50 m
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The minimum distance between the source and the reflector, so that an ...
Minimum Distance for Hearing an Echo:
To hear an echo, the sound wave emitted by the source must travel to the reflector and back to the listener's ear. The minimum distance required for this to happen is approximately equal to half the total distance the sound travels, as the sound has to cover this distance twice (to the reflector and back).

Calculation:
- The speed of sound in air is approximately 343 m/s.
- Let the minimum distance between the source and the reflector be x meters.
- The total distance the sound wave travels is 2x meters (x meters to the reflector and x meters back).
Therefore, the time taken for the sound wave to travel this distance is:
Time = Total distance / Speed of sound
= 2x / 343
The time taken for the sound wave to travel to the reflector and back must be greater than the persistence of hearing, which is approximately 0.1 seconds.
Therefore, 2x / 343 > 0.1
Solving for x:
2x > 34.3
x > 17.15

Minimum Distance for Hearing an Echo:
Therefore, the minimum distance between the source and the reflector, so that an echo is heard, is approximately 17 meters. This means that if the distance is less than 17 meters, the reflected sound wave will reach the listener's ear before the original sound wave, causing interference and making it difficult to distinguish the echo.
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The minimum distance between the source and the reflector, so that an echo is heard is approximately equal to ______.a) 10 m b) 17 m c) 34 m d) 50 m Correct answer is option 'B'. Can you explain this answer?
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