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The velocity of sound increases by 75% w...

The velocity of sound increases by 75% when it enters a liquid from air. Find the percentage increase in its wavelength

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`V_(1) = V`
`V_(2) = V + (75)/(100) V = 1.75V`
`= (V_(1))/(V_(2)) = (lamda_(1))/(lamda_(2))`
`(V)/(1.75 lamda_(1)) = (lamda_(1))/(lamda_(2))`
`rArr lamda_(1) = 1.75 lamda_(1)`
Increase in wavelength `= lamda_(2) - lamda_(1) = 1.75 lamda_(1) - lamda_(1) = 0.75 lamda_(1)`
Percentage increase in wavelength
`= (lamda_(2) xx lamda_(1))/(lamda_(1)) xx 100`
`= (0.75 lamda_(1))/(lamda_(1)) xx 100 = 75%`
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