JEE PYQ: Units And Dimensions Question 5
Question 5 - 2021 (26 Feb Shift 2)
If ‘C’ and ‘V’ represent capacity and voltage respectively then what are the dimensions of $\lambda$ where $C/V = \lambda$?
(1) $[M^{-2} L^{-4} I^2 T^6]$
(2) $[M^{-2} L^{-4} I^3 T^6]$
(3) $[M^{-1} L^{-4} I^{-3} T^{-7}]$
(4) $[M^{-3} L^{-4} I^3 T^7]$
Show Answer
Answer: (1)
Solution
$C = \frac{q}{V}$ and $\frac{C}{V} = \frac{q}{V^2}$. Working through the dimensions gives $[M^{-2} L^{-4} I^2 T^6]$.
BETA
