The dimensional formula of electric flux is

Options

A. `[M^(1)L^(1)T^(-2)]`
B. `[M^(1)L^(3)T^(-3)A^(-1)]`
C. `[M^(2)L^(2)T^(-2)A^(-2)]`
D. `[M^(1)L^(-3)T^(3)A^(1)]`

Explanation

To find the dimensional formula of electric flux, we can follow these steps:

### Step 1: Understand the Definition of Electric Flux
Electric flux (Φ) is defined as the product of the electric field (E) and the area (A) through which the field lines pass. Mathematically, it is expressed as:
\[ \Phi = E \cdot A \]

### Step 2: Find the Dimensional Formula of Electric Field (E)
The electric field (E) can be defined in terms of force (F) and charge (Q):
\[ E = \frac{F}{Q} \]
The dimensional formula for force (F) is:
\[ [F] = M L T^{-2} \]
The dimensional formula for charge (Q) can be expressed in terms of current (I) and time (T):
\[ Q = I \cdot T \]
The dimensional formula for current (I) is:
\[ [I] = A \]
Thus, the dimensional formula for charge (Q) becomes:
\[ [Q] = A T \]
Now substituting these into the formula for electric field:
\[ [E] = \frac{M L T^{-2}}{A T} = M L T^{-3} A^{-1} \]

### Step 3: Find the Dimensional Formula of Area (A)
The area (A) is given by the square of length:
\[ [A] = L^2 \]

### Step 4: Combine the Dimensional Formulas to Find Electric Flux
Now substituting the dimensional formulas of E and A into the formula for electric flux:
\[ [\Phi] = [E] \cdot [A] = (M L T^{-3} A^{-1}) \cdot (L^2) \]
This simplifies to:
\[ [\Phi] = M L^{3} T^{-3} A^{-1} \]

### Final Answer
Thus, the dimensional formula of electric flux is:
\[ M^1 L^3 T^{-3} A^{-1} \]