JEE Main 2025 Physics question
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Knowing initial position x0 and initial momentum p0 is enough to determine the position and momentum at any time t for a simple harmonic motion with a given angular frequency ω. Reason (R) : The amplitude and phase can be expressed in terms of x0 and p0. In the light of the above statements, choose the correct answer from the options given below :
Answer: (4)
Solution
x=A sin(ωt+φ), p=mAω cos(ωt+φ); solving for A and φ in terms of x0,p0 shows Reason correctly explains Assertion