If speed of sound in air is $340\text{ m/s}$ and in water is $1480\text{ m/s}$. If frequency of sound is…

If speed of sound in air is $340\text{ m/s}$ and in water is $1480\text{ m/s}$. If frequency of sound is $1000\text{ kHz}$, then find the value of wavelength in water. [JIPMER 2018]
  1. (a) $2.96\text{ mm}$
  2. (b) $1.48\text{ mm}$
  3. (c) $0.74\text{ mm}$
  4. (d) $1\text{ mm}$

Solution

Given, $v_w = 1480\text{ m/s}, f = 1000\text{ kHz}$ Speed, $v_w = f \lambda \Rightarrow \lambda = \frac{v_w}{f} = \frac{1480}{1000 \times 10^3} = 1.48\text{ mm}$

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