The frequency of a sound wave is 50 Hz and its wavelength is 4 m. What is the distance travelled by the sound wave in 3 s?
- A.100 m
- B.600 m
- C.200 m
- D.300 m
Show answer
Correct answer: B. 600 m
Explanation
The correct answer is B, 600 m. The speed of a wave is the product of its frequency and its wavelength, so the speed here is 50 hertz multiplied by 4 metres, that is 200 metres per second. Distance is speed multiplied by time, so in 3 seconds the wave covers 200 multiplied by 3, which is 600 metres. Always find the speed first and only then apply the time.
Option A, 100 m, would follow from dividing rather than multiplying somewhere in the working. Option C, 200 m, is the distance covered in one second and is the answer to a different question; it is the speed, not the answer asked for. Option D, 300 m, corresponds to no correct step at all and is included because it resembles the rounded speed of sound in air, which is irrelevant here since the speed is given indirectly by the data.