Q. The work done by a battery is $W = \varepsilon\mathrm{\Delta}q$, where $\mathrm{\Delta}q$ change transferred by battery, $\varepsilon =$emf of the battery. What are dimensions of emf of battery?
A) $\lbrack M^{0}L^{0}T^{- 2}A^{- 2}\rbrack$
B) $\lbrack ML^{2}T^{- 3}A^{- 2}\rbrack$
C) $\lbrack M^{2}L^{0}T^{- 3}A^{0}\rbrack$
D) $\lbrack ML^{2}T^{- 3}A^{- 1}\rbrack$
Explanation
Work done $W = \varepsilon\mathrm{\Delta}q$ $\therefore\ \ \ \ \ \varepsilon = \frac{W}{\mathrm{\Delta}q} = \frac{\lbrack ML^{2}T^{- 2}\rbrack}{\lbrack AT\rbrack}$ $\therefore\ \ \ \ \ \ \ \ \lbrack\varepsilon\rbrack = \lbrack ML^{2}T^{- 3}A^{- 1}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.