The wavelength of sound emitted by a source is `1.7 xx 10^(-2)m`. Calculate frequency of the sound, if its velocity is `343.4 ms^(-1)`.

Answer

`2.02 xx 10^(4)` hertz.

Explanation

The relationship between velocity, frequency and wavelength of a wave is given by the formula:
`v = f xx lambda`
Here, Velocity, `v = 343.4 ms^(-1)`
Frequency, `f = ?` (To be calculated)
And, Wavelength, `lambda = 1.7 xx 10^(-2)m`
So, putting these values in the above formula, we get:
`343.4 = f xx 1.7 xx 10^(-2)`
`f = (343.4)/(1.7 xx 10^(-2))`
`f = (3434 xx 10^(2))/(17)`
`f = 2.02 xx 10^(4)Hz`
Thus, the frequency of sound is `2.02 xx 10^(4)` hertz.