Sound produced at a point is heard by a person after $5$ second, while the same sound is heard by another person after $6$ seconds. If the speed of sound is $300 m / s$ , what could be the maximum and minimum distances between the two persons?

1.8 k m, 0.15 k m

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2.2 k m, 0.20 k m

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2.8 k m, 0.25 k m

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3.3 k m, 0.30 k m

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Solution

The correct option is D $3.3 k m, 0.30 k m$
Speed of sound $v = 300 m / s$
For maximum distance : Source is kept between the person A and B.
Maximum distance $D_{m a x} = v (t_{1} + t_{2})$
$∴$ $D_{m a x} = (300) (6 + 5) = 3300 m = 3.3 k m$
For minimum distance : Source is kept in the same direction from person A and B.
Minimum distance $D_{m i n} = v (t_{1} - t_{2})$
$∴$ $D_{m i n} = (300) (6 - 6) = 300 m = 0.3 k m$

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Sound produced at a point is heard by a person after 5 second, while the same sound is heard by another person after 6 seconds. If the speed of sound is 300m/s, what could be the maximum and minimum distances between the two persons?

Sound produced at a point is heard by a person after $5$ second, while the same sound is heard by another person after $6$ seconds. If the speed of sound is $300 m / s$ , what could be the maximum and minimum distances between the two persons?