First slide

Doppler

Question

A train blowing its whistle is moving with uniform speed along a straight track. The variation in the apparent frequency f of the whistle with time t as the train passes by an observer standing near the track is best represented by:

Difficult

A
B
C
D

Solution

$f^{'} = f (\frac{C}{C - Vcos θ})$
$θ \approx 0 f^{'} = f (\frac{C}{C - V})$
$θ \approx 180^{\circ} f^{'} = f (\frac{C}{C + V})$

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