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A table is re...

Question

A table is revolving on its axis at 5 revolutions per second. A sound source of frequency 1000 Hz is fixed on the table at 70 cm from the axis. The minimum frequency heard by a listener standing at a distance from the table will be (speed of sound = 352 m/s)

A

1000 Hz

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B

1066 Hz

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C

941 Hz

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D

352 Hz

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Solution

The correct option is C 941 Hz
$\begin{matrix} F o r s o u r c e v S = r ω = 0.70 \times 2 π \times 5 = 22 m / s t h e s o u r c e i s r e c e d i n g t h e m a n . i t i s g i v e n b y η_{min} = n \frac{v}{v + v_{s}} H z M i n i m u m f r e q u e n c y i s h e a r d w h e n = 1000 \times \frac{352}{352 + 22} = 941 \end{matrix}$

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