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Capacitor question

2025 · 22 Jan · Shift 2 · Q54
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  5. /2025 · 22 Jan · Shift 2 · Q54

Capacitor question

2025 · 22 Jan · Shift 2 · Q54

JEE MainPhysicsCapacitorMCQ+4 / −1
Which one of the following is the correct dimensional formula for the capacitance in F ? M,L,T\mathrm{M}, \mathrm{L}, \mathrm{T}M,L,T and CCC stand for unit of mass, length, time and charge,
  1. A
    [F]=[CM−1 L−2 T2][\mathrm{F}]=\left[\mathrm{CM}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^2\right][F]=[CM−1 L−2 T2]
  2. B
    [F]=[C2M−2 L2 T2][\mathrm{F}]=\left[\mathrm{C}^2 \mathrm{M}^{-2} \mathrm{~L}^2 \mathrm{~T}^2\right][F]=[C2M−2 L2 T2]
  3. C
    [F]=[C2M−1 L−2 T2][\mathrm{F}]=\left[\mathrm{C}^2 \mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^2\right][F]=[C2M−1 L−2 T2]
  4. D
    [F]=[CM−2 L−2 T−2][\mathrm{F}]=\left[\mathrm{CM}^{-2} \mathrm{~L}^{-2} \mathrm{~T}^{-2}\right][F]=[CM−2 L−2 T−2]
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