Question

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

Answer 1

Solution : 

V1=VV1=V

V2=V+75100V=1.75VV2=V+75100V=1.75V

=V1V2=λ1λ2=V1V2=λ1λ2

V1.75λ1=λ1λ2V1.75λ1=λ1λ2

⇒λ1=1.75λ1⇒λ1=1.75λ1

Increase in wavelength =λ2−λ1=1.75λ1−λ1=0.75λ1=λ2-λ1=1.75λ1-λ1=0.75λ1

Percentage increase in wavelength

=λ2×λ1λ1×100=λ2×λ1λ1×100

=0.75λ1λ1×100=75%

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