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Saturday, 31 October

JEE Main 2020 · PhysicsMultiple choiceOtherMediumData or graph

JEE Main 2 September 2020, Shift 2, Physics Q2

Question 2 of 75 in this shift, Physics question 2 of 25.

The displacement time graph of a particle executing S.H.M. is given in figure : (sketch is schematic and not to scale) Which of the following statements is/are true for this motion ? (A) The force is zero at t=3T4t = \frac{3T}{4} (B) The acceleration is maximum at t=Tt = T (C) The speed is maximum at t=T4t = \frac{T}{4} (D) The P.E. is equal to K.E. of the oscillation at t=T2t = \frac{T}{2}

The figure, in words

Displacement (vertical axis) versus time (s) (horizontal axis) graph. Curve starts above the axis at t = 0 (point O marked on the axis), falls to cross the time axis at T/4, dips below the axis to a trough above which the label 2T/4 is printed (dot on the axis at 2T/4), returns to the axis at 3T/4, then rises into a hump above the axis that ends on the axis at 5T/4. Labels printed under the axis: T/4, 3T/4, T (dot on axis), 5T/4.
  1. (1)(A), (B) and (D)
  2. (2)(A) and (D)
  3. (3)(A), (B) and (C)Official answer
  4. (4)(B), (C) and (D)

Official answer

Option 3

NTA final key (Sep 2020).

Chapter
Oscillations
Topic
SHM Equations
Idea tested
Velocity and Accel vs Time

Same idea in other shifts

Asked 4× in all
  1. 2 Apr 2026, Shift 2 · Q45The equation of motion of a particle is given by x=asin⁡(50t+π3)x = a\sin\left(50t + \frac{\pi}{3}\right) cm. The particle will come to rest at time…MediumSingle correct
  2. 4 Apr 2024, Shift 2 · Q56The displacement of a particle executing SHM is given by x=10sin⁡(wt+π3)mx = 10\sin\left(wt + \frac{\pi}{3}\right)m. The time period of motion is 3.14…EasyNumerical value
  3. 27 Jun 2022, Shift 2 · Q40The equation of a particle executing simple harmonic motion is given by x=sin⁡π(t+13)x = \sin \pi\left(t + \frac{1}{3}\right) m. At tt = 1s, the…EasySingle correct

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. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.