Physics · Units, Dimensions & Error Analysis

JEE Main 2025 — 2 April, Evening Shift — Question 55

Given a charge $q$ , current $I$ and permeability of vacuum $\mu_0$ . Which of the following quantity has the dimension of momentum?

Option A:
$q \mu_0 / l$
Option B:
$ql/ \mu_0$
Option C:
$q \mu_0 l$
Correct
Option D:
$q^{2} \mu_{0} /l$

Answer: C

Step-by-step solution

Momentum $=m v$

\begin{aligned} & F \equiv B v q \\ & \frac{m v}{t} \equiv \frac{\mu_{0} / v q}{r} \\ & m v \equiv \mu_{0} / q \end{aligned}

Answer key and solution verified before publishing.

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Exam: JEE Main 2025
Paper: 2 April, Evening Shift
Subject: Physics
Chapter: Units, Dimensions & Error Analysis
Topic: Units and Dimensions Analysis