JEE Main 2022 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 27 June 2022, Shift 2, Physics Q58

Question 58 of 90 in this shift, Physics question 28 of 30, Section B.

A deuteron and a proton moving with equal kinetic energy enter into to a uniform magnetic field at right angle to the field. If

r_d

and

r_p

are the radii of their circular paths respectively, then the ratio

\frac{r_d}{r_p}

will be

\sqrt{x}:1

where

x

is ________.

Official answer

NTA final key.

Chapter: Moving Charges and Magnetism
Topic: Lorentz Force
Idea tested: Trajectory Radii Ratio for Same Kinetic Energy

Same idea in other shifts

Asked 4× in all

9 Apr 2024, Shift 2 · Q44A proton and a deutron ( $q=+e$ , $m=2.0$ u) having same kinetic energies enter a region of uniform magnetic field $\vec{B}$ , moving…EasySingle correct
24 Jun 2022, Shift 2 · Q39A proton, a deuteron and an $\alpha$ -particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic…EasySingle correct
27 Aug 2021, Shift 1 · Q13Two ions of masses 4 amu and 16 amu have charges $+2$ e and $+3$ e respectively. These ions pass through the region of constant…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 108 of the 174 JEE Main shifts held from 2017 to 2026.