A person clapped his hands near a cliff and heard echo after 6 s. The distance of the cliff from the person is: [take v = 346 ms-1]

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ExampixVerified

Asked: August 16, 20222022-08-16T14:25:41+00:00 2022-08-16T14:25:41+00:00In: Physics

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Exampix · Accepted Answer · 2022-08-16T14:26:55+00:00

CONCEPT:

Echo: If we shout or clap near a suitable reflecting object such as a tall building or a mountain, we will hear the same sound again a little later. This sound which we hear is called an echo.
- Echoes are heard due to the phenomenon of Reflection of sound waves.
- To hear the echo clearly, the reflecting object must be more than 17.2 m from the sound source for the echo to be heard by a person standing at the source.

Calculation:

Given that,

The time taken by the echo to reach back to the source (t)= 6s.

Velocity of the sound (v) = 346 m/s.

Distance between person and cliff (d) = v x t_a

As sound travels back and forth to form an echo and hence time is twice.

Now dividing the time take by 2 we get actual time (T_a)= 6/2 ⇒ 3

Therefore, the distance from person to the cliff (d) = 346 x 3 ⇒ 1038 m.

The distance between the person and the cliff is 1038 meters.