Question

The work done by a battery is $W=\varepsilon \Delta q$, where $\Delta q$ charge transferred by battery, $\varepsilon=$ emf of the battery. What are dimensions of emf of battery?

• A. $\left[ M ^{0} L ^{0} T ^{-2} A ^{-2}\right]$
• B. $\left[M L^{2} T^{-3} A^{-2}\right]$
• C. $\left[ M ^{2} L ^{0} T ^{-3} A ^{0}\right]$
• D. $\left[ ML ^{2} T ^{-3} A ^{-1}\right]$

Answer 1

Answer: (D)

Work done, $W=\varepsilon \Delta q$
$\therefore \varepsilon=\frac{W}{\Delta q}=\frac{\left[M L^{2} T^{-2}\right]}{[ AT ]}$
$\therefore [\varepsilon] =\left[M L^{2} T^{-3} A^{-1}\right]$