A body sends a wave 150 mm long through medium P and 0.30 m long in medium Q. If velocity of the wave in medium P is 80 cm s − 1 , the velocity of wave in medium Q is

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TestHub · Accepted Answer

The frequency of a wave remains constant when it travels from one medium to another.

$f = \frac{v _{P}}{λ _{P}} = \frac{v _{Q}}{λ _{Q}}$

Given $λ_{P} = 150 mm = 0.15 m$ , $λ_{Q} = 0.30 m$ , and $v_{P} = 80 cm s^{- 1} = 0.8 m s^{- 1}$ .

Substituting the values:

$v_{Q} = v_{P} \times \frac{λ _{Q}}{λ _{P}}$

$v_{Q} = 0.8 \times \frac{0.30}{0.15}$

$v_{Q} = 0.8 \times 2 = 1.6 m s^{- 1}$

Answer: $1.6 m s^{- 1}$

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