Unit & Dimensions_JEE_Advanced_2021 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE Advance 2021v

Paper-2

Multiple correct answers - Select all that apply

Question

A physical quantity $\vec{S}$ is defined as $\vec{S}=(\vec{E} \times \vec{B}) / \mu_0$, where $\vec{E}$ is electric field, $\vec{B}$ is magnetic field and $\mu_0$ is the permeability of free space. The dimensions of $S$ are the same as the dimensions of which of the following quantity (ies)?

Select ALL correct options:

$\frac{\text { Energy }}{\text { charge } \text { × } \text { current }}$

$\frac{\text { Force }}{\text { Length × Time }}$

$\frac{\text { Energy }}{\text { Volume }}$

$\frac{\text { Power }}{\text { Area }}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

$\overrightarrow{\mathrm{S}}=[\overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}] \frac{1}{\mu_0}$

S is pointing vector denotes flow of energy per unit area per unit time

$\overrightarrow{\mathrm{S}}=\frac{\text { watt }}{\mathrm{m}^2}$

Hence B, D are correct

Question Tags

JEE Advance

Physics

Easy

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