Question Detail
Question
The displacement of a particle along the x-axis is given by x = a sin²(ωt). The motion of the particle is a
Correct Answer
Option A is the correct answer.
Detailed Explanation
x = a sin²(ωt) = a(1 - cos 2ωt)/2 = a/2 - (a/2)cos(2ωt). This is SHM with angular frequency 2ω. The frequency is f = (2ω)/(2π) = ω/π. None of the options match. If the question means frequency = ω/2π, then it's not correct. The motion is SHM with frequency ω/π.
Hint
Use the identity sin²θ = (1 - cos 2θ)/2.