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Saturday, 31 October

JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 31 January 2024, Shift 2, Physics Q54

Question 54 of 90 in this shift, Physics question 24 of 30, Section B.

The time period of simple harmonic motion of mass MM in the given figure is παM5k\pi\sqrt{\frac{\alpha M}{5k}}, where the value of α\alpha is __________.

The figure, in words

Spring system hung from the ceiling, all springs of force constant k: the left spring connects the ceiling directly to mass M; the middle and right springs hang in parallel from the ceiling and join at a lower point, from which a fourth spring k connects down to mass M.

Official answer

12

NTA final key.

Chapter
Oscillations
Topic
SHM Equations
Idea tested
Springs in Series

Same idea in other shifts

Asked 4× in all
  1. 26 Jul 2022, Shift 2 · Q60As per given figures, two springs of spring constants kk and 2k2k are connected to mass mm. If the period of oscillation in figure (a)…MediumNumerical valueHas a figure
  2. 26 Feb 2021, Shift 1 · Q11If two similar springs each of spring constant K1\mathrm{K_1} are joined in series, the new spring constant and time period would be…EasySingle correct
  3. 17 Mar 2021, Shift 1 · Q28Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 shows one of them and…EasyNumerical valueHas 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. 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.