Correct Answer - Option 2 : [ML

^{2}T

^{-3}I

^{-1}]

__CONCEPT__:

- The amount of work done in moving a unit positive charge in an electric field from infinity to that point without accelerating the charge against the direction of the electric field is electrostatic potential.
- The electrostatic potential is given by

\(⇒ V = \frac{W}{q}\)

Where V = Electrostatic potential , W = Work , q = Charge

- Dimensions are the power to fundamental quantities is to be raised to represent the quantity

__EXPLANATION : __

- The dimension of electrostatic potential can be found out as

\(⇒ V = \frac{W}{q}\) ----(1)

⇒ W = [ ML2T-2]

- The dimension q can be found out as

\(\Rightarrow I = \frac{q}{t}\)

\(⇒ q = I\times t\)

Substituting the proper dimensions

\(⇒ q = [I]\times [T] = [IT]\)

Substituting the dimension of q and W in equation 1

\(⇒ V = \frac{[ML^{2}T^{-2}]}{[IT]} = [ML^{2}I^{-1}T^{-3}]\)

- The dimension of V is [ML2T-3I-1]