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Dimension of resistance can be worked out by using Ohm's law
You know V = IR or R = V/I....(1)
The dimensional formalism of equation (1) can be written as follows
[R] = [V]/[I] = [W/q]/[I] { since potential refers to work done(W) per unit charge }
So [R] = [w]/[qI] = [W]/[I2T] { [I] = [q]/[T] where T stands for time }
thus [R] = [ML2T-2]/[A2T] { dimension of current is taken as [A] }
= [M1L2T1A-2] (ans)
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