MCQ
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Knowing initial position $\mathrm{x}_{0}$ and initial momentum $\mathrm{p}_{0}$ is enough to determine the position and momentum at any time t for a simple harmonic motion with a given angular frequency $\omega$.
Reason (R) : The amplitude and phase can be expressed in terms of $\mathrm{x}_{0}$ an $\mathrm{p}_{0}$.
In the light of the above statements, choose the correct answer from the options given below :
Assertion (A) : Knowing initial position $\mathrm{x}_{0}$ and initial momentum $\mathrm{p}_{0}$ is enough to determine the position and momentum at any time t for a simple harmonic motion with a given angular frequency $\omega$.
Reason (R) : The amplitude and phase can be expressed in terms of $\mathrm{x}_{0}$ an $\mathrm{p}_{0}$.
In the light of the above statements, choose the correct answer from the options given below :
- ABoth (A) and (R) are true but (R) is NOT the correct explanation of (A).
- B(A) is false but (R) is true.
- C(A) is true but ( $\mathbf{R}$ ) is false.
- DBoth (A) and (R) are true and (R) is the correct explanation of (A).
