JEE Main 2021 · PhysicsMultiple choiceSingle correctMediumConceptual

JEE Main 18 March 2021, Shift 2, Physics Q12

Question 12 of 90 in this shift, Physics question 12 of 30, Section A.

The function of time representing a simple harmonic motion with a period of

\frac{\pi}{\omega}

is :

(1) $\sin(\omega t)+\cos(\omega t)$
(2) $\sin^2(\omega t)$
(3) $3\cos\left(\frac{\pi}{4}-2\omega t\right)$ Official answer
(4) $\cos(\omega t)+\cos(2\omega t)+\cos(3\omega t)$

Official answer

Option 3

NTA final key.

Chapter: Oscillations
Topic: SHM Equations
Idea tested: SHM Definition and Force Law

Same idea in other shifts

Asked 5× in all

3 Apr 2025, Shift 1 · Q36Two blocks of masses m and M, $(M > m)$ , are placed on a frictionless table as shown in figure. A massless spring with spring constant k…HardOtherHas a figure
9 Apr 2024, Shift 2 · Q57A particle of mass $0.50$ kg executes simple harmonic motion under force $F=-50\ (Nm^{-1})x$ . The time period of oscillation is…EasyNumerical value
10 Apr 2023, Shift 2 · Q51A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 m and time period…EasyNumerical value
25 Feb 2021, Shift 2 · Q4The point A moves with a uniform speed along the circumference of a circle of radius 0.36 m and covers $30^{\circ}$ in 0.1 s. The…MediumDiagram basedHas a figure

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.