A 1024 Hz Tuning Fork Is Dangled at the End $^{\circ}$

A 1024 Hz tuning fork is dangled at the end of a string such that its center of mass is 1.2 m below the point at which the other end of the string is attached to door frame,making a pendulum of sorts.The tuning fork may be treated as a point mass for the purposes of this problem.If the pendulum is brought to an amplitude of 22 $^{\circ}$ and released,what is the range of frequencies heard by an observer standing in the plane of the pendulum's motion? The speed of sound in this case is 340 m/s.

A) 1015 Hz to 1033 Hz
B) 1012 Hz to 1036 Hz
C) 1010 Hz to 1038 Hz
D) 1020 Hz to 1028 Hz

Correct Answer:

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