A body sends waves 100 , mm long through medi | vedclass

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(B) Given: Wavelength in medium $A$,$\lambda_{A} = 100 \, mm = 0.10 \, m$.Wavelength in medium $B$,$\lambda_{B} = 0.25 \, m$.Velocity in medium $A$,$v

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$2$

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(B) Given: Wavelength in medium $A$,$\lambda_{A} = 100 \, mm = 0.10 \, m$.Wavelength in medium $B$,$\lambda_{B} = 0.25 \, m$.Velocity in medium $A$,$v_{A} = 80 \, cm s^{-1} = 0.80 \, m s^{-1}$.Since the frequency $f$ of the wave remains constant when it travels from one medium to another,we have $f = \frac{v_{A}}{\lambda_{A}} = \frac{v_{B}}{\lambda_{B}}$.Rearranging for $v_{B}$,we get $v_{B} = v_{A} 	imes \frac{\lambda_{B}}{\lambda_{A}}$.Substituting the values: $v_{B} = 0.80 	imes \frac{0.25}{0.10}$.$v_{B} = 0.80 	imes 2.5 = 2.0 \, m s^{-1}$.

$A$ body sends waves $100 \, mm$ long through medium $A$ and $0.25 \, m$ long in medium $B$. If the velocity of waves in medium $A$ is $80 \, cm s^{-1}$,the velocity of waves in medium $B$ is .... $m s^{-1}$.

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