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A stone is dropped from the top of a tow...

A stone is dropped from the top of a tower `500 m` high into a pond of water at the base of the tower. When is the splash heard at the top ? Given, `g = 10 m//s^2` and speed of sound `= 340 m//s`.

A

10 s

B

14.70 s

C

11.47 s

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Time taken by stone to reach the pond,
`t_("free fall") = sqrt((2h)/(g)) = sqrt((2 xx 500)/(10) ) s`
Time taken by sound of splash to reach the top,
`t_("sound") = (h)/( v) = (500)/( 340)" s"`
Time after which splash is heard is `t_("total") = t_("sound") + t_("free fall")`
`=(500)/( 340) + sqrt(( 2 xx 500)/(10) ) = 1.47 + 10`
`therefore t_("total") = 11.47" s"`
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