A body sends a wave 150 text{ mm} long throug | vedclass

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(D) The frequency of a wave remains constant when it travels from one medium to another.Let the frequency be $f$.The relationship between velocity $(v

Vedclass · Accepted Answer

$1.6$

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(D) The frequency of a wave remains constant when it travels from one medium to another.Let the frequency be $f$.The relationship between velocity $(v)$, frequency $(f)$, and wavelength $(\lambda)$ is given by $v = f \lambda$.For medium $P$: $\lambda_P = 150 	ext{ mm} = 0.15 	ext{ m}$ and $v_P = 80 	ext{ cm s}^{-1} = 0.8 	ext{ m s}^{-1}$.Frequency $f = \frac{v_P}{\lambda_P} = \frac{0.8}{0.15} = \frac{80}{15} = \frac{16}{3} 	ext{ Hz}$.For medium $Q$: $\lambda_Q = 0.30 	ext{ m}$.The velocity in medium $Q$ is $v_Q = f \lambda_Q$.$v_Q = \left( \frac{16}{3} ight) 	imes 0.30 = \frac{16}{3} 	imes \frac{30}{100} = 16 	imes 0.1 = 1.6 	ext{ m s}^{-1}$.

$A$ body sends a wave $150 \text{ mm}$ long through medium $P$ and $0.30 \text{ m}$ long in medium $Q$. If velocity of the wave in medium $P$ is $80 \text{ cm s}^{-1}$, the velocity of wave in medium $Q$ is (in $\text{ m s}^{-1}$)

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