JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 24 June 2022, Shift 2, Physics Q46

Question 46 of 90 in this shift, Physics question 16 of 30, Section A.

A long cylindrical volume contains a uniformly distributed charge of density

\rho

. The radius of cylindrical volume is

R

. A charge particle (

q

) revolves around the cylinder in a circular path. The kinetic energy of the particle is :

(1) $\frac{\rho q R^2}{4\varepsilon_o}$ Official answer
(2) $\frac{\rho q R^2}{2\varepsilon_o}$
(3) $\frac{q\rho}{4\varepsilon_o R^2}$
(4) $\frac{4\varepsilon_o R^2}{q\rho}$

Official answer

Option 1

NTA final key.

Chapter: Electric Charges and Fields
Topic: Gauss's Law
Idea tested: Cylindrical Field

Same idea in other shifts

Asked 5× in all

4 Apr 2024, Shift 1 · Q40An infinitely long positively charged straight thread has a linear charge density $\lambda$ Cm $^{-1}$ . An electron revolves along a…HardDiagram basedHas a figure
30 Jan 2024, Shift 2 · Q40A particle of charge ' $-q$ ' and mass ' $m$ ' moves in a circle of radius ' $r$ ' around an infinitely long line charge of linear charge…MediumSingle correct
10 Apr 2023, Shift 2 · Q55An electron revolves around an infinite cylindrical wire having uniform linear charge density $2\times10^{-8}$ C m $^{-1}$ in circular path…MediumNumerical valueHas a figure
27 Jul 2022, Shift 1 · Q56A long cylindrical volume contains a uniformly distributed charge of density $\rho$ Cm $^{-3}$ . The electric field inside the cylindrical…EasyNumerical valueHas a figure

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.