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Saturday, 31 October

JEE Main 2024 · PhysicsNumerical answerNumerical valueHardMulti-step

JEE Main 8 April 2024, Shift 2, Physics Q52

Question 52 of 90 in this shift, Physics question 22 of 30, Section B.

A circular table is rotating with an angular velocity of ω\omega rad/s about its axis (see figure). There is a smooth groove along a radial direction on the table. A steel ball is gently placed at a distance of 1 m on the groove. All the surfaces are smooth. If the radius of the table is 3 m, the radial velocity of the ball w.r.t. the table at the time ball leaves the table is x2 ωx\sqrt{2}\,\omega m/s, where the value of xx is __________.

The figure, in words

Top view of a circular table rotating with angular velocity ω\omega about its central vertical axis; a radial groove with a ball (dot) at 1 m from the axis; table radius marked 3 m.

Official answer

2

NTA final key.

Chapter
System of Particles and Rotational Motion
Topic
Circular Motion
Idea tested
Centrifugal Pseudo-Force

Same idea in other shifts

Asked 3× in all
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  2. 24 Feb 2021, Shift 2 · Q4A body weighs 49 N on a spring balance at the north pole. What will be its weight recorded on the same weighing machine, if it is shifted…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. 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.