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Sound produced at a point is heard by a person after 5 second,

Question

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 km, 0.15 km

2.2 km, 0.20 km

2.8 km, 0.25 km

3.3 km, 0.30 km

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Emma Discussed

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?

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

Speed of sound

v = 300 m / s

For maximum distance : Source is kept between the person A and B.
Maximum distance

D_{ma x} = v (t_{1} + t_{2})

∴

D_{ma x} = (300) (6 + 5) = 3300 m = 3.3 km

For minimum distance : Source is kept in the same direction from person A and B.
Minimum distance

D_{min} = v (t_{1} - t_{2})

∴

D_{min} = (300) (6 - 6) = 300 m = 0.3 km

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Question Text	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?
Answer Type	Text solution:1
Upvotes	150