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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 26 July 2022, Shift 2, Physics Q60

Question 60 of 90 in this shift, Physics question 30 of 30, Section B.

As per given figures, two springs of spring constants kk and 2k2k are connected to mass mm. If the period of oscillation in figure (a) is 3s, then the period of oscillation in figure (b) will be x s\sqrt{x}\ s. The value of xx is ___________.

The figure, in words

Figure (a): a spring k hanging from the ceiling, with a spring 2k below it in series, and a mass m at the bottom. Figure (b): springs k and 2k hang side by side from the ceiling, both attached to a rectangular block m.

Official answer

2

NTA final key.

Chapter
Oscillations
Topic
SHM Equations
Idea tested
Springs in Series

Same idea in other shifts

Asked 4× in all
  1. 31 Jan 2024, Shift 2 · Q54The 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…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.