Source and observer both start moving simultaneously from origin, one along x-axis and the other alo

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Source and observer both start moving simultaneously from origin, one along x-axis and the other along y-axis with speed of source = twice the speed of observer. The graph between the apparent frequency observed by observer f and time t would approximately be :

Accepted Answer

Sol. tanθ = $\frac{vt}{2vt}$ = $\frac{1}{2}$⇒ cosθ = $\frac{2}{\sqrt{5}}$ , sinθ = $\frac{1}{\sqrt{5}}$So f = $\left( \frac{v_{s} - v\cos(90 - 	heta)}{v_{s} + (2v)\cos	heta} ight)$f0 (where vs is speed of sound)= $\left( \frac{v_{s} - \frac{v}{\sqrt{5}}}{v_{s} + \frac{4
u}{\sqrt{5}}} ight)$f0Hence f < f0 and constant

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