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Question

Statement 1 : Ram is standing at a distance of 33 m from a wall. He claps and hears the echo of his own clap.

Statement 2 : Velocity of sound in air is 330 m/s and time of persistence for hearing is 1/10 of a second.


A

Statement 1 is true but information in statement 2 is insufficient to prove it

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B

Statement 1 is true and information in statement 2 is sufficient to prove it

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C

Statement 1 is false but information in statement 2 is insufficient to prove it

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D

Statement 1 is false and information in statement 2 is sufficient to prove it

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Solution

The correct option is B

Statement 1 is true and information in statement 2 is sufficient to prove it


Time taken by the sound of Ram's clap to come back after reflection from the wall is the time taken by sound to travel distance twice the distance between Ram and the wall. So,

t = (2 x 33)/330 = 1/5 s.

Since t is greater than time of persistence of hearing (1/10 s), Ram will hear echo of his clap. So Statement 1 is true and information in statement 2 is sufficient to prove it


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