Match List-I with List-II. List-I List-II --- --- A. sin 2w t I. Periodic with time period T = π but not simple harmonic motion (SHM) B. sin 3(2wt) II. Periodic with time period T = π but Not SHM C. sin(π w t) + cos(π w t) III. periodic with time period T = π and SHM D. cos wt + cos 2wt IV. Non-periodic Choose the correct answer from the options given below.

Physics · Simple Harmonic Motion

JEE Main 2026 — 5 April, Evening Shift — Question 10

Match List-I with List-II.

List-I	List-II
A. $\sin^2w t$	I. Periodic with time period $T = \pi$ but not simple harmonic motion (SHM)
B. $\sin^3(2wt)$	II. Periodic with time period $T = \pi$ but Not SHM
C. $\sin(\pi w t) + \cos(\pi w t)$	III. periodic with time period $T = \pi$ and SHM
D. $\cos wt + \cos 2wt$	IV. Non-periodic

Choose the correct answer from the options given below.

A: $\sin^2 t = (1-\cos2t)/2$ → SHM with period $\pi$ (III).

B: $\sin^3 2t = (3\sin2t - \sin6t)/4$ → periodic with period $\pi$ but not SHM (I).

C: $\sin\pi t + \cos\pi t$ has no common period → non-periodic (IV).

D: $\cos t + \cos2t$ has period $2\pi$ but not SHM (II).

Answer key and solution verified before publishing.

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