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JEE Main 20254 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
4 April
Shift
Evening Shift
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2025 · 4 April · Evening Shift · Physics · Units and Dimensions

In an electromagnetic system, a quantity defined as the ratio of...

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of [MPL∘TRAS]\left[M^P L^{\circ} \mathrm{T}^{\mathrm{R}} \mathrm{A}^{\mathrm{S}}\right]. The value of P and Q are :

Options

  1. A−1,0-1,0
  2. B−1,1-1,1
  3. C1,−11,-1
  4. D0,−10,-1

Correct answer

D. 0,−10,-1

Step-by-step solution

Electric dipole moment (P→)=q×2ℓ(\overrightarrow{\mathrm{P}})=\mathrm{q} \times 2 \ell
Magnetic dipole moment (M→)=IA(\overrightarrow{\mathrm{M}})=\mathrm{IA}
\left[\frac{\mathrm{P}}{\mathrm{M}}\right]=\left[\frac{\mathrm{LTA}}{\mathrm{~L}^2 \mathrm{~A}}\right]=\mathrm{L}^{-1} \mathrm{~T}=\mathrm{M}^0 \mathrm{~L}^{-1} \mathrm{~T}^1 \mathrm{~A}^0<br/>Aftercomperingvaluesof<br/>After compering values of\mathrm{P} \& \mathrm{Q}areare0,-1 Correct Answer : Option 4
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