The minimum distance between the obstacle and the source of sound for hearing distinct echoes is

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$34 \cdot 4 m$

$17 \cdot 2 m$

$3 \cdot 44 m$

$1.72 m$

answer is B.

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Detailed Solution

Hearing Persistence: It takes our ears 0.1 seconds to distinguish between two sounds.

When two sounds arrive at a time interval of less than 0.1 seconds, the human ear is unable to distinguish between them.

Because it varies from person to person, this is the Average time period.

Sound Reflection: When sound waves strike a surface, the surface reflects the sound waves

We will hear the same sound twice when we speak something.

Echo is typically heard on hills or in a large room.

Speed of sound in air: The average speed of sound in air is 343m/s at 25 degrees Celcius temperature.

If two sounds are separated by at least 0.1 seconds, the human ear can distinguish between them. To hear the sound and its reflection, the reflected sound must hit our ear at least 0.1 second after the original sound. Therefore the minimum distance should be 17.2m.

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