Wednesday, April 13, 2011

Rahul claps near a cliff and hears the echo after 6 sec. Find the distance of cliff from him given speed of sound in air is 340m/s.

When Rahul claps, he makes a sound. This sound moves towards the cliff and reflects off the cliff and comes back as an echo. He hears the echo 6 s after clapping. This means it takes 6 s for the sound to reach the cliff and back to Rahul. In other words, it takes 3 s for sound to reach the cliff and 3 s for it to come back. Since the speed of the sound is 340 m/s in air, the distance to the cliff is the distance traveled by the clapping sound in 3 s.


Distance traveled can be calculated as the product of speed and time. That is,


Distance = speed x time = 340 m/s  x 3 s


= 1020 m = 1.02 km.


Thus, the cliff is 1.02 km away from Rahul.


Hope this helps.

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