JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
Given a charge \(q\), current I and permeability of vacuum \(\mu_0\). Which of the following quantity has the dimension of momentum?
- A \(\mathrm{qI} / \mu_0\)
- B \(q \mu_0 I\)
- C \(q^2 \mu_0 I\)
- D \(q \mu_0 / I\)
Answer & Solution
Correct Answer
(B) \(q \mu_0 I\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{Q}=\mathrm{AT} \\ & \mathrm{I}=\mathrm{A} \\ & \mu_0=\mathrm{MLT}^{-2} \mathrm{~A}^{-2} \\ & \mathrm{P}=\mathrm{Q}^{\mathrm{x}} \mu_0^{\mathrm{y}} \mathrm{I}^{\mathrm{z}}=[\mathrm{AT}]^{\mathrm{x}}\left[\mathrm{MLT}^{-2}…
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