The man fires a gun and hear the echo after 3 seconds and the air temperature is 40 degree celsius. What is the distance between the man and the reflecting surface?
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9th
Physics
Sound
Reflection of Sound
A man fires a gun and hears...
PHYSICS
A man fires a gun and hears its echo after 5 s. The man then moves 310 m towards the hill and fires his gun again. This time he hears the echo after 3 s. Calculate the speed of sound.
December 20, 2019
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Noor Mauskar
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ANSWER
The speed of the sound is calculated as follows.
Let d be the distance between the man and the hill in the beginning.
v=
t
2×d
=
5
2×d
→eqn1
He moves 310 m towards the hill. Therefore the distance will be (d - 310) m. Therefore,
v=
3
2(d−310)
→eqn2
Since velocity of sound is same, equating (1) and (2), we get
5
2d
=
3
2(d−310)
3d = 5d - 1550
2d = 1550
d = 775 m
Hence, the velocity of sound v=
5
2×775
(substituting in equation 1)