Physics · Horizontal Circular Motion

JEE Main 2024 — 1 February, Shift 1 — Question 35

A ball of mass 0.5 kg is attached to a string of length 50 cm . The ball is rotated on a horizontal circular path about its vertical axis.The maximum tension that the string can bear is 400 N . The maximum possible value of angular velocity of the ball in $\mathrm{rad} / \mathrm{s}$ is,:

Option A:
1600
Option B:
40
Correct
Option C:
1000
Option D:
20

Answer: B

Step-by-step solution

$T=m \omega^{2} \ell$ $400=0.5 \omega^{2} \times 0.5$ $\omega=40 \mathrm{rad} / \mathrm{s}$ .

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Exam: JEE Main 2024
Paper: 1 February, Shift 1
Subject: Physics
Chapter: Horizontal Circular Motion
Topic: Dynamics of circular motion