First slide

Doppler

Question

An observer moves toward a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency?

Moderate

A

5%
B

20%
C

Zero
D

0.5%

Solution

$f = f_{o} (\frac{v_{s} + v_{0}}{v_{s}}) = f_{0} [\frac{v + \frac{v}{5}}{v}] = \frac{6}{5} f_{0}$
Percentage increases
= $[\frac{\frac{6}{5} f_{0} - f_{0}}{f_{0}}] \times 100 = 20 %$

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