A source of sound moves along a circle of radius 2 m with constant angular velocity 40 rad/s. Frequency of the source is 300 Hz. A detector is kept at some distance from the circle in the same plane of the circle (as shown in figure). Which of the following is not the possible value of frequency registered by the detector? (Speed of sound = 320 m/s)

250 Hz

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360 Hz

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410 Hz

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220 Hz

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Solution

The correct options are
C 410 Hz
D 220 Hz
$f_{m a x} = \frac{320}{320 - 80} \times 300 = 400 H z$

$f_{m i n} = \frac{320}{320 + 80} \times 300 = 240 H z$

Among the given options 410 Hz and 220 Hz are out of this range.

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