JEE Main 2023 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 10 April 2023, Shift 1, Physics Q53

Question 53 of 90 in this shift, Physics question 23 of 30, Section B.

If the earth suddenly shrinks to

\frac{1}{64}

th of its original volume with its mass remaining the same, the period of rotation of earth becomes

\frac{24}{x}\,h

. The value of

x

is ____________.

Official answer

NTA final key.

Chapter: System of Particles and Rotational Motion
Topic: Angular Momentum
Idea tested: Conservation of Angular Momentum

Same idea in other shifts

Asked 7× in all

6 Apr 2024, Shift 1 · Q56If the radius of earth is reduced to three-fourth of its present value without change in its mass then value of duration of the day of…MediumNumerical value
8 Apr 2024, Shift 2 · Q35A thin circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular…EasySingle correct
11 Apr 2023, Shift 2 · Q53A circular plate is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plate, with an angular…MediumNumerical value
26 Jun 2022, Shift 1 · Q35A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 $\mathrm{rads^{-1}}$ in a horizontal plane…EasySingle correct
18 Mar 2021, Shift 1 · Q20A thin circular ring of mass M and radius r is rotating about its axis with an angular speed $\omega$ . Two particles having mass m each…EasySingle correct
5 Sep 2020, Shift 1 · Q4A wheel is rotating freely with an angular speed $\omega$ on a shaft. The moment of inertia of the wheel is I and the moment of inertia of…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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.