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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 \(=\ 340\ m s^{−1}\).
Time taken by the stone to fall to tower base (\(t_1\)) \(=\) \(s\)
Time taken by sound to reach top from tower base (\(t_2\)) \(=\) \(s\)
Splash is heard at the top after time (\(t\)) \(=\) \(s\)
(Note: Enter your answer with two decimal digits)