Sound WavesHardBloom L3

Question

A source when at rest in a medium produces waves with a velocity v and a wavelength of λ . If the source is set in motion with a velocity vs what would be the wavelengths produced directly in front of the source?

Options

A.λ$\left( 1 - \frac{v_{s}}{v} \right)$
B.λ$\left( 1 + \frac{v_{s}}{v} \right)$
C.$\left( 1 + \frac{v}{v_{s}} \right)$λ
D.$\frac{\lambda v}{v + v_{s}}$

Solution

Sol. λ′ = λ – vsT

= $\lambda - v_{s}\left( \frac{\lambda}{v} \right)$ = $\lambda\left( 1 - \frac{v_{s}}{v} \right)$

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