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Question: A curve is plotted to represent the dependence of the ratio of the received frequency f to the frequ...

A curve is plotted to represent the dependence of the ratio of the received frequency f to the frequency f0emitted by the source on the ratio of the speed of observer Vob to the speed of sound Vsound in a situation in which an observer is moving towards a stationary sound source. The curve is best represented by :

A
B
C
D
Answer
Explanation

Solution

f = f0(1+VobVsound)\left( 1 + \frac{V_{ob}}{V_{sound}} \right)

ff0αVobVsound\frac{f}{f_{0}}\alpha\frac{V_{ob}}{V_{sound}} (straights line)

when VobVsound\frac{V_{ob}}{V_{sound}} = 0; ff0\frac{f}{f_{0}} =1.

and as VobVsound\frac{V_{ob}}{V_{sound}} → 1

ff0\frac{f}{f_{0}} → 2