Question

If the frequency of a wave was 10 Hz and the speed was 5m/s, find its wavelength​

Answer 1

the answer to your question is v=5 Hz v=10 m/s i apolgize if I got it wrong, but this is what I got.

Answer 2

`0.5\; {\rm m}`.

Step-by-step explanation:

The period
`T` of a wave is the reciprocal of its frequency
`f`. In other words,
`T = (1/f)`. Since the frequency of the wave in this question is
`f = 10\; {\rm Hz} = 10\; {\rm s^(-1)}`, the period of this wave would be
`T = (1/f) = (1/10)\; {\rm s} = 0.1\; {\rm s}`.

The wavelength of a wave is the distance its wavefront travels in one period
`T`.

The period of this wave is
`T = 0.1\; {\rm s}`. At a speed of
`v = 5\; {\rm m\cdot s^(-1)}`, it would have travelled a distance of
`v\, T = (0.1\; {\rm s})\, (5\; {\rm m\cdot s^(-1)}) = 0.5\; {\rm m}` within one period.