COMEDK · Physics · 2. Units and Dimensions

What is the dimensional formula for electric flux?

A \(\left[\mathrm{M}^1 \mathrm{~L}^3 \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]\)
B \(\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]\)
C \(\left[\mathrm{M}^2 \mathrm{~L}^3 \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]\)
D \(\left[\mathrm{M}^1 \mathrm{~L}^3 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(\left[\mathrm{M}^1 \mathrm{~L}^3 \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]\)

Step-by-step Solution

Detailed explanation

Electric flux \(\phi_E\) is defined as the product of electric field \(E\) and area \(A\), given by \(\phi_E = E \cdot A\). The electric field \(E\) is defined as force per unit charge, \(E = \dfrac{F}{q}\). The dimensional formula for force \(F\) is \([M^1 L^1 T^{-2}]\) and for…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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