Q.
The displacement $x$ (in $metres$) of a particle performing simple harmonic motion is related to time $t$ (in $seconds$) as $x = 0.05\cos{\left( 4\pi t + \frac{\pi}{4} \right).\ }$ The frequency of the motion will be
A) $0.5\ Hz$
B) $1.0\ Hz$
C) $1.5\ Hz$
D) $2.0\ Hz$
Explanation
(d) From the given equation $\omega = 2\pi n = 4\pi \Rightarrow n = 2Hz$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.