EXPLANATION
- a) M⁰L⁻¹T⁻¹A⁻¹
- b) M⁻¹L⁻¹T⁻¹A
- c) M¹L¹T⁻³A⁻¹
- d) M¹L⁻¹T⁻¹A⁻¹
ANSWER: c) M¹L¹T⁻³A⁻¹
EXPLANATION:
The answer is (c) M¹L¹T⁻³A⁻¹.
The dimensions of the electric field are [M L T⁻³ A⁻¹]. This means that the electric field has the following units:
Mass (M): The electric field is proportional to the force exerted on a charge, and force is proportional to mass.
Length (L): The electric field is also proportional to the distance between the charge and the point where the field is measured.
Time (T): The electric field is inversely proportional to the time it takes for the force to be exerted.
Current (A): The electric field is inversely proportional to the charge.
The dimensional formula for the electric field can be derived from the following equation:
E = F / q
E is the electric field strength
F is the force exerted on the charge
q is the charge
The dimensions of force are [M L T⁻²], and the dimensions of charge are [A T]. Substituting these into the equation, we get the dimensional formula for the electric field:
[E] = [F] / [q] = [M L T⁻²] / [A T] = [M L T⁻³ A⁻¹]
