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Q.

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

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a

50%

b

70%

c

75%

d

25%

answer is C.

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Detailed Solution

v1=vv2=v+75100v=1.75vv1v2=λ1λ2v11.75v=λ1λ2λ2=1.75λ1
Increase in wave length  =λ2-λ1
=1.75λ1λ1=0.75λ1
Percentage increase in wave length  =0.75λ1λ1×100
= 75 %

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