First slide

Doppler

Question

A curve is plotted to represent the dependence of the ratio of the received frequency f to the frequency $f_{0}$ emitted by the source on the ratio of the speed of observer $V_{ob}$ to the speed of sound $V_{sound}$ in a situation in which an observer is moving towards a stationary sound source. The curve is best represented by:

Moderate

A
B
C
D

Solution

$f = f_{0} (1 + \frac{V_{ob}}{V_{sound}}) \Rightarrow \frac{f}{f_{0}} = 1 + \frac{V_{ob}}{V_{sound}} (straight line);$
when $\frac{V_{ob}}{V_{sound}} = 0; \frac{f}{f_{0}} = 1$
and as $\frac{V_{ob}}{V_{sound}} \to 1 \Rightarrow \frac{f}{f_{0}} \to 2$

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