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A stone is dropped into a well 45m deep. the sound of splash is heard 3.13 seconds after the stone is dropped. find the speed of sound

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Janhavi answered 3 year(s) ago

A Stone is dropped into a well, 44 meter deep and the sound of splash is heard after 3.12 sec. Find the speed of sound in air.

A Stone is dropped into a well 44 meter deep and the sound of splash is heard after 3.12 sec. Find the speed of sound in air.

Class-IX Physics

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Asked by Rushin

Mar 1

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Janhavi , SubjectMatterExpert

Member since Feb 20 2013

Time taken by the stone to reach the water surface  can be calculated using the equation of motion
s = ut + ½ gt2
Here u = 0, s = 44 m , g = 9.8 m/s2
 
So
t = (2x44/9.8)½
         = 2.996 s ≈ 3 s
Therefore time taken by sound to travel this distance = 3.12 - 3 = 0.12 s
Speed of sound in air = distance covered/Time
                                            = 44 m/ (0.12 s)
                                            = 366.7 m/s