Physics And Measurement Question 74

Question: Dimensional formula of capacitance is

[CPMT 1978; MP PMT 1979; IIT 1983]

Options:

A) $ c^{2}g^{0}{{p}^{-2}} $

B) $ ML^{2}T^{4}{{A}^{-2}} $

C) $ ML{{T}^{-4}}A^{2} $

D) $ {{M}^{-1}}{{L}^{-2}}{{T}^{-4}}{{A}^{-2}} $

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Answer:

Correct Answer: A

Solution:

[C] = $ ( \frac{Q}{V} )=( \frac{Q^{2}}{W} )=[ \frac{A^{2}T^{2}}{ML^{2}{{T}^{-2}}} ]=[{{M}^{-1}}{{L}^{-2}}T^{4}A^{2}] $



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