JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 30 July 2022, Shift 2, Physics Q4

Question 4 of 90 in this shift, Physics question 4 of 30, Section A.

A mass of 0.5 kg is attached to one end of a massless spring whose natural length is 1 m and spring constant is 800 N/m The other end of the spring is fixed while the mass moves in a circular path in a horizontal plane with an angular speed of 20 rad/s. The extension in the length of the spring will be :

(1) $\frac{1}{10}$ m
(2) $\frac{1}{4}$ m
(3) $\frac{1}{3}$ mOfficial answer
(4) $\frac{1}{5}$ m

Official answer

Option 3

NTA final key.

Chapter: Laws of Motion
Topic: Circular Motion
Idea tested: Spring-Mass in Circular Motion

Same idea in other shifts

Asked 5× in all

6 Apr 2023, Shift 1 · Q48A small block of mass 100 g is tied to a spring of spring constant 7.5 N/m and length 20 cm. The other end of spring is fixed at a…MediumSingle correct
27 Jun 2022, Shift 2 · Q34One end of a massless spring of spring constant $k$ and natural length $l_0$ is fixed while the other end is connected to a small object…EasySingle correct
8 Jan 2020, Shift 1 · Q2A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length $l$ . The other end is fixed. The…MediumSingle correct
9 Jan 2020, Shift 2 · Q6A spring mass system (mass $m$ , spring constant $k$ and natural length $l$ ) rests in equilibrium on a horizontal disc. The free end of the…MediumSingle 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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.