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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceDiagram basedMediumMulti-step

JEE Main 25 July 2022, Shift 1, Physics Q39

Question 39 of 90 in this shift, Physics question 9 of 30, Section A.

In figure (A), mass '2 m' is fixed on mass 'm' which is attached to two springs of spring constant k. In figure (B), mass 'm' is attached to two springs of spring constant 'k' and '2k'. If mass 'm' in (A) and in (B) are displaced by distance 'x' horizontally and then released, then time period T1T_1 and T2T_2 corresponding to (A) and (B) respectively follow the relation.

The figure, in words

Two set-ups between rigid walls on a horizontal surface. (A): block m (hatched) with a block 2m fixed on top, attached by a spring of constant k on each side. (B): block m (hatched) with spring k on the left and spring 2k on the right.
  1. (1)T1T2=32\frac{T_1}{T_2}=\frac{3}{\sqrt2}Official answer
  2. (2)T1T2=32\frac{T_1}{T_2}=\sqrt{\frac{3}{2}}
  3. (3)T1T2=23\frac{T_1}{T_2}=\sqrt{\frac{2}{3}}
  4. (4)T1T2=23\frac{T_1}{T_2}=\frac{\sqrt2}{3}

Official answer

Option 1

NTA final key (2022 Session 2).

Chapter
Oscillations
Topic
SHM Equations
Idea tested
Springs in Parallel

Same idea in other shifts

Asked 5× in all
  1. 6 Apr 2023, Shift 1 · Q43A mass m is attached to two strings as shown in figure. The spring constants of two springs are K1K_1 and K2K_2. For the frictionless…EasyDiagram basedHas a figure
  2. 24 Feb 2021, Shift 2 · Q7In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are…MediumDiagram basedHas a figure
  3. 25 Feb 2021, Shift 2 · Q7Two identical springs of spring constant ‘2k’ are attached to a block of mass m and to fixed support (see figure). When the mass is…EasyDiagram basedHas a figure
  4. 17 Mar 2021, Shift 2 · Q6Two particles A and B of equal masses are suspended from two massless springs of spring constants K1\mathrm{K_1} and K2\mathrm{K_2}…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.