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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

K_1

and

K_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) $2\pi\sqrt{\frac{m}{K_1+K_2}}$ Official answer
(2) $2\pi\sqrt{\frac{m}{K_1-K_2}}$
(3) $\frac{1}{2\pi}\sqrt{\frac{K_1+K_2}{m}}$
(4) $\frac{1}{2\pi}\sqrt{\frac{K_1-K_2}{m}}$

Official answer

Option 1

NTA final key.

Chapter: Oscillations
Topic: SHM Equations
Idea tested: Springs in Parallel

Same idea in other shifts

Asked 2× in all

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

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 42 of the 174 JEE Main shifts held from 2017 to 2026.