Physics · Units, Dimensions & Error Analysis

JEE Main 2025 — 4 April, Evening Shift — Question 45

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic

dipole moment has dimension of [MPLQTRAS]\left[M^{P} L^{Q} T^{R} A^{S}\right]. The value of PP and QQ are :

  1. Option A:

    1,−11,-1

  2. Option B:

    −1,0-1,0

  3. Option C:

    0,−10,-1

    Correct
  4. Option D:

    −1,1-1,1

Answer: C

Step-by-step solution

E=14πε0PEr3E=\frac{1}{4 \pi \varepsilon_{0}} \frac{P_{E}}{r^{3}}

B=μ04πPmr3B=\frac{\mu_{0}}{4 \pi} \frac{P_{m}}{r^{3}}

EB=1μ0ε0⋅PEPm\frac{E}{B}=\frac{1}{\mu_{0} \varepsilon_{0}} \cdot \frac{P_{E}}{P_{m}}

L−1T1=PEPmL^{-1} T^{1}=\frac{P_{E}}{P_{m}}

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Units, Dimensions & Error Analysis
Topic
Units and Dimensions Analysis
In an electromagnetic system, a quantity defined as the ratio of… | JEE Main 2025 PYQ with Solution · DhiX AI