A stone dropped from the top of a tower of height 300 m high splashes

1.	A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the base of the tower. When is splash heard at the top given that the speed of sound in air is 340 ms-1? (g = 9.8 ms-2)
Answer» Here, h = 300 m g = 9.8 ms^-2 and v = 340 ms^-1 Let t₁ be the time taken by the stone to reach at the surface of the pond. Then, using s = ut + 1/2 at² ⇒ h = 0 x t + 1/2 x gt₁² t₁ = √{(2 x 300)/(9.8)} (Here, h = 300 m) Also, if t₂ be the time taken by the sound to reach at a height h, then t₂ = h/v = 300/342 = 0.88 s ∴ Total time after which sound of splash is heard = t₁ + t₂ = (7.82 + 0.88) s = 8.7 s

A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the base of the tower. When is splash heard at the top given that the speed of sound in air is 340 ms-1? (g = 9.8 ms-2)

Answer»

Here,

h = 300 m

g = 9.8 ms^-2

and v = 340 ms^-1

Let t₁ be the time taken by the stone to reach at the surface of the pond.

Then, using s = ut + 1/2 at²

⇒ h = 0 x t + 1/2 x gt₁²

t₁ = √{(2 x 300)/(9.8)} (Here, h = 300 m)

Also, if t₂ be the time taken by the sound to reach at a height h, then

t₂ = h/v = 300/342 = 0.88 s

∴ Total time after which sound of splash is heard

= t₁ + t₂

= (7.82 + 0.88) s

= 8.7 s

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A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the base of the tower. When is splash heard at the top given that the speed of sound in air is 340 ms-1? (g = 9.8 ms-2)

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