JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 30 January 2024, Shift 2, Physics Q34

Question 34 of 90 in this shift, Physics question 4 of 30, Section A.

A block of mass

m

is placed on a surface having vertical crossection given by

y = x^2 / 4

. If coefficient of friction is 0.5, the maximum height above the ground at which block can be placed without slipping is:

(1) $1/4\ m$ Official answer
(2) $1/6\ m$
(3) $1/2\ m$
(4) $1/3\ m$

Official answer

Option 1

NTA final key.

Chapter: Laws of Motion
Topic: Friction
Idea tested: Equilibrium in a Hemispherical Bowl

Same topic in other shifts

All Friction questions

2 Apr 2026, Shift 2 · Q27A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m rotating about its vertical axis. The minimum…EasySingle correct
4 Apr 2026, Shift 1 · Q28The time taken by a block of mass $m$ to slide down from the highest point to the lowest point on a rough inclined plane is $50\ \%$ more…MediumSingle correct
6 Apr 2026, Shift 2 · Q46A block takes $t$ time to slide down a plane inclined at $45^\circ$ to the horizontal. If the surface is made smooth (frictionless), the…MediumNumerical value
4 Apr 2025, Shift 2 · Q44A block of mass 25 kg is pulled along a horizontal surface by a force at an angle $45^\circ$ with the horizontal. The friction coefficient…MediumSingle correct
7 Apr 2025, Shift 1 · Q30A cubic block of mass m is sliding down on an inclined plane at $60^\circ$ with an acceleration of $\frac{g}{2}$ , the value of coefficient…EasySingle correct
6 Apr 2024, Shift 2 · Q31A car of 800 kg is taking turn on a banked road of radius 300 m and angle of banking $30^\circ$ . If coefficient of static friction is 0.2…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 42 of the 174 JEE Main shifts held from 2017 to 2026.