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A stone is dropped into a well and the s...

A stone is dropped into a well and the sound of splash is heard after 5.3 sec. If the water is at a depth of 122.5 m from the ground, the velocity of sound in air is

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If `t_1` is the time taken by stone to reach the ground and `t_2` the time taken by sound to go up, then `t_1+t_2`=5.33
Since `s=ut+1/2 at^2 " " 122.5=0t+1/2xx9.8xxt_1^2`
`therefore t_1^2=245/9.8=2450/98=25`
`therefore t_1`=5s
`therefore t_2` =0.33 s
Velocity of sound = `"displacement"/"time"=122.5/0.33`=367 m/s
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