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

Explanation

`V_1 = V`
` V_2 = V +(75 )/( 100 )V = 1.75 V`
` = (V_1)/(V_2) = ( lamda_1)/(lamda_2)`
`(V )/( 1.75 V = ( lamda_1)/( lamda_2)`
` implies 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 - lamda_1)/( lamda_1) xx 100`
` = ( 0.75 lamda_1)/( lamda_1)xx 100 = 75 %`