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The minimum size of a room required to hear an echo of sound with a speed of 300 m/s is
a)16 m
b)17 m
c)14 m
d)15 m
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The minimum size of a room required to hear an echo of sound with a sp...
The Correct answer is b.
To hear a distinct echo the time interval between the original sound and the reflected one must be at least 0.15
To hear a distinct echo the time interval between the original sound and the reflected one must be at least 0.15
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
The minimum size of a room required to hear an echo of sound with a sp...
To hear an echo, the time taken for the sound to travel from the source to a reflecting surface and back to the listener's ears must be greater than the persistence of hearing. The persistence of hearing is generally considered to be around 0.1 seconds.
The time taken for the sound to travel from the source to the reflecting surface and back can be calculated using the formula:
Time = Distance / Speed
To calculate the minimum size of the room required to hear an echo, we need to consider the maximum distance the sound can travel in 0.1 seconds.
Let's assume the distance from the source to the reflecting surface is 'd'. The sound will then have to travel a total distance of 2d (to the reflecting surface and back).
For the sound to travel a distance of 2d in 0.1 seconds, we can use the formula:
0.1 = 2d / 300
Simplifying this equation, we get:
0.1 * 300 = 2d
30 = 2d
d = 15 meters
Therefore, the minimum size of the room required to hear an echo is 15 meters.
The correct answer is option 'D'.
The time taken for the sound to travel from the source to the reflecting surface and back can be calculated using the formula:
Time = Distance / Speed
To calculate the minimum size of the room required to hear an echo, we need to consider the maximum distance the sound can travel in 0.1 seconds.
Let's assume the distance from the source to the reflecting surface is 'd'. The sound will then have to travel a total distance of 2d (to the reflecting surface and back).
For the sound to travel a distance of 2d in 0.1 seconds, we can use the formula:
0.1 = 2d / 300
Simplifying this equation, we get:
0.1 * 300 = 2d
30 = 2d
d = 15 meters
Therefore, the minimum size of the room required to hear an echo is 15 meters.
The correct answer is option 'D'.
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