JEE Main 2026 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 2 April 2026, Shift 2, Physics Q29

Question 29 of 75 in this shift, Physics question 4 of 25, Section A.

A particle having charge

10^{-9}

C moving in

x

y

plane in fields of

0.4\hat{j}

N/C and

4 \times 10^{-3}\hat{k}

T experiences a force of

(4\hat{i} + 2\hat{j}) \times 10^{-10}

N. The velocity of the particle at that instant is __________ m/s.

(1) $50\hat{i} + 100\hat{j}$ Official answer
(2) $100\hat{i} + 50\hat{j}$
(3) $-50\hat{i} + 100\hat{j}$
(4) $50\hat{i} - 100\hat{j}$

Official answer

Option 1

NTA final key.

Chapter: Moving Charges and Magnetism
Topic: Lorentz Force
Idea tested: Lorentz Force Vector Summation

Same topic in other shifts

All Lorentz Force questions

2 Apr 2026, Shift 1 · Q48 $1\ \mu$ C charge moving with velocity $\vec v=\left(\hat i-2\hat j+3\hat k\right)$ m/s in the region of magnetic field…EasyNumerical value
5 Apr 2026, Shift 1 · Q49The charged particle moving in a uniform magnetic field of $(3\hat{i} + 2\hat{j})\,\mathrm{T}$ has an acceleration…MediumNumerical value
5 Apr 2026, Shift 2 · Q38A particle of charge $q$ and mass $m$ is projected from origin with an initial velocity…MediumSingle correct
8 Apr 2026, Shift 2 · Q48A 5 mg particle carrying a charge of $5\pi \times 10^{-6}$ C is moving with velocity of $\left(3\hat{i} + 2\hat{k}\right) \times 10^{-2}$ …MediumNumerical value
3 Apr 2025, Shift 2 · Q40Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : If Oxygen ion…MediumAssertion–reason
4 Apr 2025, Shift 2 · Q49A particle of charge 1.6 $\mu$ C and mass 16 $\mu$ g is present in a strong magnetic field of 6.28 T. The particle is then fired…EasyNumerical value

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.