Question

Dimension of electromotive force (e.m.f) is –
A. $$M{L}^2{T}^{-2}$$
B. $$M{L}^2{T}^{-2}{I}^{-3}$$
C. $$ML{T}^{-2}$$
D. $$M{L}^2{T}^{-3}{I}^{-1}$$

Answer 1

Hint: To solve this question we have to know about electromotive force.We know that, The electromotive power (e.m.f) is the amount of the electric potential contrasts delivered by a partition of charges (electrons or particles) that can happen at each stage limit (or interface) in the cell. The extent of every potential contrast relies upon the compound idea of the two reaching stages.

Complete step by step answer:
EMF is equal to work done $$\times$$ charge. We know that work done is equal to force $$\times$$ displacement which is equal to mass$$\times$$ acceleration $$\times$$ displacement which is equal to $$[M]\times [M^0{L}^1{T}^{-2}]\times [L]$$.

And, charge is equal to current $$\times$$ time. Then the dimension of charge is $$I\times T$$. Now putting these values we can get the dimension of electromagnetic force which is equal to $$[M]\times [M^0{L}^1{T}^{-2}]\times [L]\times [I^{-1}]\times [T^{-1}]$$ which is equal to $$[M{L}^2{T}^{-3}{I}^{-1}]$$.

Henec, the correct answer is option D.

Additional Information: We also have to know that, Electromotive power, shortened form E or e.m.f, energy per unit electric charge that is conferred by a fuel source, like an electric generator or a battery. Energy is changed over starting with one structure then onto the next in the generator or battery as the gadget takes care of jobs on the electric charge being moved inside itself. One terminal of the gadget turns out to be decidedly charged, the other turns out to be adversely charged.

Note:The work done on a unit of electric charge, or the energy in this manner acquired per unit electric charge, is the electromotive power. Electromotive power is the quality of any fuel source equipped for driving electric charge around a circuit. It is contracted $E$ in the global decimal standard for measuring yet in addition, prominently, as e.m.f. we have to keep these all in our mind to solve other questions related to electromotive force in physics.