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Physics · Units, Dimensions & Error Analysis

JEE Main 2025 — 22 January, Evening Shift — Question 52

Which one of the following is the correct dimensional formula for the

capacitance in F? M, L,T\mathrm{L}, \mathrm{T} and C stand for unit of

mass, length, time and charge,

  1. Option A:

    [F]=[C2M−2 L2 T2][\mathrm{F}]=\left[\mathrm{C}^{2} \mathrm{M}^{-2} \mathrm{~L}^{2} \mathrm{~T}^{2}\right]

  2. Option B:

    [F]=[CM−2 L−2 T−2][\mathrm{F}]=\left[\mathrm{CM}^{-2} \mathrm{~L}^{-2} \mathrm{~T}^{-2}\right]

  3. Option C:

    [F]=[CM−1 L−2 T2][\mathrm{F}]=\left[\mathrm{CM}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^{2}\right]

  4. Option D:

    [F]=[C2M−1 L−2 T2][\mathrm{F}]=\left[\mathrm{C}^{2} \mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^{2}\right]

    Correct

Answer: D

Step-by-step solution

Conceptual

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Exam
JEE Main 2025
Paper
22 January, Evening Shift
Subject
Physics
Chapter
Units, Dimensions & Error Analysis
Topic
Units and Dimensions Analysis

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