Learn

Saturday, 31 October

JEE Main 2023 · PhysicsMultiple choiceDiagram basedEasyApplication

JEE Main 6 April 2023, Shift 1, Physics Q43

Question 43 of 90 in this shift, Physics question 13 of 30, Section A.

A 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 surface, the time period of oscillation of mass m is

The figure, in words

Mass m on a frictionless horizontal surface between two fixed walls, connected on the left by spring K2 and on the right by spring K1.
  1. (1)2πmK1+K22\pi\sqrt{\frac{m}{K_1+K_2}}Official answer
  2. (2)2πmK1−K22\pi\sqrt{\frac{m}{K_1-K_2}}
  3. (3)12πK1+K2m\frac{1}{2\pi}\sqrt{\frac{K_1+K_2}{m}}
  4. (4)12πK1−K2m\frac{1}{2\pi}\sqrt{\frac{K_1-K_2}{m}}

Official answer

Option 1

NTA final key.

Chapter
Oscillations
Topic
SHM Equations
Idea tested
Springs in Parallel

Same idea in other shifts

Asked 5× in all
  1. 25 Jul 2022, Shift 1 · Q39In 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…MediumDiagram 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.