Waves - Result Question 76

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78. A whistle of frequency $385 Hz$ rotates in a horizontal circle of radius $50 cm$ at an angular speed of 20 radians $s^{-1}$. The lowest frequency heard by a listener a long distance away at rest with respect to the centre of the circle, given velocity of sound equal to $340 ms^{-1}$, is [2002]

======= ####78. A whistle of frequency $385 Hz$ rotates in a horizontal circle of radius $50 cm$ at an angular speed of 20 radians $s^{-1}$. The lowest frequency heard by a listener a long distance away at rest with respect to the centre of the circle, given velocity of sound equal to $340 ms^{-1}$, is [2002]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/waves/waves—result-question-76.md (a) $396 Hz$

(b) $363 Hz$

(c) $374 Hz$

(d) $385 Hz$

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Answer:

Correct Answer: 78. (c)

Solution:

  1. (c) Velocity of source, $v_s=r \omega$

$ =0.50 \times 20=10 ms^{-1} $

$n^{\prime}=(\frac{v}{v+v_s}) n=\frac{340 \times 385}{340+10}=374 Hz$