If we express position x(t)=Asin(ωt+ϕ) then x0=Asinϕv0=Aωcosϕ⇒tanϕ=v0ωx0A=x02+ω2v02 Hence both position and linear momentum of a particle can be expressed as a function of time if we know initial momentum and position
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Knowing initial position…
JEE Main 2025 — Physics Waves & Oscillations
2025mcqeasy
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 :
Official previous-year question
Held on 28 Jan 2025 · Verified 6 Jul 2026.
Options
- A
(A) is false but (R) is true
- B
(A) is true but (R) is false
- C
Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
- D
Both (A) and (R) are true and (R) is the correct explanation of (A)
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