Verified Solution • 2025–26 Session moderate

QJEEM25Ph0a82: JEE Main 2025 Physics - Class 12 JEEM25Ph0a82 Solution: Which one of the following is the correct dimensional formula…

Which one of the following is the correct dimensional formula for the capacitance in F ? M,L,T\mathrm{M}, \mathrm{L}, \mathrm{T} and CC stand for unit of mass, length, time and charge,

Multiple Choice Options

  • A [F]=[C2M−2 L2 T2][\mathrm{F}]=\left[\mathrm{C}^2 \mathrm{M}^{-2} \mathrm{~L}^2 \mathrm{~T}^2\right]
  • B [F]=[C2M−1 L−2 T2][\mathrm{F}]=\left[\mathrm{C}^2 \mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^2\right]
  • C [F]=[CM−1 L−2 T2][\mathrm{F}]=\left[\mathrm{CM}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^2\right]
  • D [F]=[CM−2 L−2 T−2][\mathrm{F}]=\left[\mathrm{CM}^{-2} \mathrm{~L}^{-2} \mathrm{~T}^{-2}\right]

Step-by-Step Verified Solution

C=qV=q⋅qV⋅q=q2WD=C2MLL2T−2=C2M−1L−2T2C=\frac{q}{V}=\frac{q \cdot q}{V \cdot q}=\frac{q^2}{W D}=\frac{C^2}{M L L^2 T^{-2}}=C^2 M^{-1} L^{-2} T^2

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