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Question:

A charged particle carrying charge $1 \mu \mathrm{C}$ is moving with velocity $(2 \hat{i}+3 \hat{j}+4 \hat{k}) \mathrm{ms}^{-1}$. If an external magnetic field of $(5 \hat{i}+3 \hat{j}-6 \hat{k}) \times 10^{-3} \mathrm{~T}$ exists in the region where the particle is moving then the force on the particle is $\vec{F} \times 10^{-9} \mathrm{~N}$. The vector $\vec{F}$ is :

1. $-0.30 \hat{i}+0.32 \hat{j}-0.09 \hat{k}$

2. $-30 \hat{i}+32 \hat{j}-9 \hat{k}$

3. $-300 \hat{i}+320 \hat{j}-90 \hat{k}$

4. $-3.0 \hat{i}+3.2 \hat{j}-0.9 \hat{k}$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Physics Moving Charges and Magnetism chapter.
JEE Main Previous Year Sep. 03, 2020 (I)

Solution:

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