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Question: The dimensions of Farad are...

The dimensions of Farad are

A

M−1L−2T2Q2M ^ { - 1 } L ^ { - 2 } T ^ { 2 } Q ^ { 2 }

B

M−1L−2TQM ^ { - 1 } L ^ { - 2 } T Q

C

M−1L−2T−2QM ^ { - 1 } L ^ { - 2 } T ^ { - 2 } Q

D

M−1L−2TQ2M ^ { - 1 } L ^ { - 2 } T Q ^ { 2 }

Answer

M−1L−2T2Q2M ^ { - 1 } L ^ { - 2 } T ^ { 2 } Q ^ { 2 }

Explanation

Solution

Farad is the unit of capacitance and

C=QVC = \frac { Q } { V } = [Q][ML2T−2Q−1]\frac { [ Q ] } { \left[ M L ^ { 2 } T ^ { - 2 } Q ^ { - 1 } \right] } = M−1L−2T2Q2M ^ { - 1 } L ^ { - 2 } T ^ { 2 } Q ^ { 2 }