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 a maximum angle and released.If the range of frequencies heard by an observer standing in the plane of the pendulum's motion is 1020-1028 Hz,what is the angle to which the pendulum was raised? The speed of sound in this case is 340 m/s.
A) 22$^{\circ}$
B) 18$^{\circ}$
C) 17$^{\circ}$
D) 46$^{\circ}$
E) 4.3$^{\circ}$

Question

Quizplus · Accepted Answer

The correct answer is A because the range of frequencies heard by an observer standing in the plane of the pendulum's motion is 1020-1028 Hz, which corresponds to an angle of 22 degrees.

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

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