COMEDK202510 May 2025Evening ShiftPhysicsUnits and DimensionsActual
What is the dimensional formula for electric flux?
Options
- A[ M ^1 ~L ^3 ~T ⁻³ ~A ⁻¹ ]
- B[ M ^1 ~L ^2 ~T ⁻³ ~A ⁻¹ ]
- C[ M ^2 ~L ^3 ~T ⁻³ ~A ⁻¹ ]
- D[ M ^1 ~L ^3 ~T ⁻² ~A ⁻¹ ]
Correct answer
A. [ M ^1 ~L ^3 ~T ⁻³ ~A ⁻¹ ]
Step-by-step solution
Electric flux _E is defined as the product of electric field E and area A , given by _E = E A . The electric field E is defined as force per unit charge, E = F q . The dimensional formula for force F is [M^1 L^1 T⁻²] and for charge q is [A^1 T^1] . Thus, the dimensional formula for electric field E is [M^1 L^1 T⁻²] [A^1 T^1] = [M^1 L^1 T⁻³ A⁻¹] . The dimensional formula for area A is [L^2] . Therefore, the dimensional formula for electric flux _E is [M^1 L^1 T⁻³ A⁻¹] [L^2] = [M^1 L^3 T⁻³ A⁻¹] . Answer: [ M ^1 ~L ^3