The speed of wave in a medium is $60\text{ m/s}$. If $1200$ waves are passing through a point in the medium…

The speed of wave in a medium is $60\text{ m/s}$. If $1200$ waves are passing through a point in the medium in $1\text{ min}$, then wavelength is
  1. $4.0\text{ m}$
  2. $6.0\text{ m}$
  3. $3.0\text{ m}$
  4. $7.0\text{ m}$

Solution

Speed the wave, $v = 60\text{ ms}^{-1}$ Frequency of the wave, $\nu = 1200\text{ min}^{-1} = \frac{1200}{60} = 20\text{ s}^{-1}$ Now, wavelength, $\lambda = \frac{v}{\nu} = \frac{60}{20} \Rightarrow \lambda = 3\text{ m}$

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