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Friday, 9 October

JEE Main 2025 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2025, Shift 1, Physics Q33

Question 33 of 75 in this shift, Physics question 8 of 25, Section A.

A particle is subjected to two simple harmonic motions as : x1=7sin⁡5tx_1=\sqrt{7}\sin5t cm and x2=27sin⁡(5t+π3)x_2=2\sqrt{7}\sin\left(5t+\frac{\pi}{3}\right) cm where xx is displacement and tt is time in seconds. The maximum acceleration of the particle is x×10−2 ms−2x\times10^{-2}\ \mathrm{ms^{-2}}. The value of xx is :
  1. (1)25725\sqrt{7}
  2. (2)575\sqrt{7}
  3. (3)125
  4. (4)175Official answer

Official answer

Option 4

NTA final key.

Same topic in other shifts

All SHM Equations questions
  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 2026, Shift 1 · Q48The velocity of a particle executing simple harmonic motion along xx-axis is described as v2=50−x2v^2=50-x^2, where xx represents…EasyNumerical value
  3. 5 Apr 2026, Shift 2 · Q35Match List - I with List - II. List - I A. sin⁡2ωt\sin^2\omega t B. sin⁡3(2ωt)\sin^3(2\omega t) C. sin⁡(ωt)+cos⁡(πωt)\sin(\omega t)+\cos(\pi\omega t) D.…HardMatch the list
  4. 6 Apr 2026, Shift 1 · Q37A particle is executing simple harmonic motion. Its amplitude is AA and time period is 5 sec. The time required by it to move from x=Ax=A…EasySingle correct
  5. 8 Apr 2026, Shift 2 · Q37The frequency of oscillation of a mass mm suspended by a spring is v1v_1. If the length of the spring is cut to half, the same mass…EasySingle correct
  6. 3 Apr 2025, Shift 1 · Q36Two blocks of masses m and M, (M>m)(M > m), are placed on a frictionless table as shown in figure. A massless spring with spring constant k…HardOtherHas 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 42 of the 174 JEE Main shifts held from 2017 to 2026.