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]
- A.1038 m
- B.1083 m
- C.2076 m
- D.2706 m
Show answer
Correct answer: A. 1038 m
Explanation
The correct answer is A, 1038 m. An echo is the sound heard when a wave is reflected from a distant obstacle and comes back, so in the time measured the sound covers the distance to the cliff and then the same distance back again. The total path is therefore twice the distance, and twice the distance equals v into t, that is 346 into 6 = 2076 metres. Dividing by two gives a distance of 1038 metres. For an echo to be heard as a separate sound the reflecting surface must be far enough away that the return takes at least 0.1 second, which in air needs a distance of about 17 metres. Option B is wrong because 1083 is only a rearrangement of the digits of the correct figure. Option C is wrong because 2076 m is the full to-and-fro path rather than the distance to the cliff. Option D is wrong because 2706 follows from neither step of the calculation. Exam tip: the distance of the reflector equals v into t divided by 2, and the minimum distance for a distinct echo in air is about 17 m.