Question

The frequency of a sound wave is $250Hz$ and its wavelength is $100cm$. The distance travelled by a sound wave in the time taken to produce $100$ waves is __________.

Answer 1

As per the given data, we have

$\lambda =100cm=1metre$

$n=250Hz$

Number of waves produced$=N=100$

Distance travelled$=s=?$

We know that $s=speed\times time=v\times t$ and $v=\lambda \times n$

The time taken to produce one wave is known as Time Period T

It is given by $T=\frac{1}{n}$

$t=T\times N$

$s=v\times t=\lambda \times n\times t=\lambda \times n\times T\times N$

$=\lambda \times n\times \frac{1}{n}\times N=\lambda \times N$

$=1\times 100=100metres$

$Answer=100metres$