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

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

In an electromagnetic system, the quantity representing the ratio...

In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of MPLQTRAS\mathrm{M}^{\mathrm{P}} \mathrm{L}^{\mathrm{Q}} \mathrm{T}^{\mathrm{R}} \mathrm{A}^{\mathrm{S}}, where value of ' Q ' and ' R ' are

Options

  1. A(3,−5)(3,-5)
  2. B(−2,2)(-2,2)
  3. C(−2,1)(-2,1)
  4. D(1,−1)(1,-1)

Correct answer

D. (1,−1)(1,-1)

Step-by-step solution

ϕEϕM=EABA=EBB=MℓT−2ATLT−1 So [EB]=ML−3A−1MT−2A−1=LT−1\begin{aligned} & \frac{\phi_{\mathrm{E}}}{\phi_{\mathrm{M}}}=\frac{\mathrm{EA}}{\mathrm{BA}}=\frac{E}{B} \\ & \mathrm{ B}=\frac{\mathrm{M} \ell \mathrm{T}^{-2}}{\mathrm{ATLT}^{-1}} \\ & \text{ So }\left[\frac{\mathrm{E}}{\mathrm{B}}\right]=\frac{\mathrm{ML}^{-3} \mathrm{ A}^{-1}}{\mathrm{MT}^{-2} \mathrm{ A}^{-1}}=\mathrm{LT}^{-1}\end{aligned} Or  E=c⋅B[EB]=LT−1\begin{aligned} & \text{\text{ Or } } \\ & E=c \cdot B \\ & {\left[\frac{E}{B}\right]=L T^{-1}}\end{aligned}$
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