JEE Main 2026 · 5 Apr · Shift 2 · Physics Q35 · Dronacharya Exams

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PhysicsList match+4 / -1Question 35 of 75

Match List - I with List - II.

Choose the correct answer from the options given below :

List - I

A
$\sin^2\omega t$
B
$\sin^3(2\omega t)$
C
$\sin(\omega t)+\cos(\pi\omega t)$
D
$\cos\omega t+\cos2\omega t$

List - II

I
Periodic with time period $T=\dfrac\pi\omega$ but not simple harmonic motion (SHM)
II
Periodic with time period $T=\dfrac{2\pi}\omega$ but Not SHM
III
Periodic with time period $T=\dfrac\pi\omega$ and SHM
IV
Non-periodic

A

A-III, B-I, C-IV, D-II

B

A-II, B-I, C-III, D-IV

C

A-III, B-II, C-IV, D-I

D

A-II, B-I, C-IV, D-III

Answer and worked solution

Official answer: A

Each function.

A: $\sin^2\omega t=\tfrac12-\tfrac12\cos2\omega t$ is SHM about $\tfrac12$ , with period $\pi/\omega$ (III).
B: $\sin^3 2\omega t=\tfrac14(3\sin2\omega t-\sin6\omega t)$ has period $\pi/\omega$ but is not SHM (I).
C: The frequencies ω and πω have an irrational ratio, so $\sin\omega t+\cos\pi\omega t$ is non-periodic (IV).
D: $\cos\omega t+\cos2\omega t$ has period $2\pi/\omega$ and is not SHM (II).

Match: A-III, B-I, C-IV, D-II.

(A)

Topics:Simple harmonic motion Superposition of SHMs

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