Q.
A particle is oscillating according to the equation $X = 7\cos{0.5\pi t,}$ where $t$ is in second. The point moves from the position of equilibrium to maximum displacement in time
A) $4.0\ s$
B) $2.0\ s$
C) $1.0\ s$
D) $0.5\ s$
Explanation
(c) From given equation $\omega = \frac{2\pi}{T} = 0.5\pi \Rightarrow T = 4s$
Time taken from mean position to the maximum displacement $= \frac{1}{4}T = 1\ s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.