Q 11-01-248JEE MainJEE Main 2025 (4 Apr, Shift 2)Medium
In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of $[M^PL^QT^RA^S]$. The values of $P$ and $Q$ are:
Answer: (D) $0,\ -1$
Electric dipole moment $p = q\times d$: $[p] = AT\cdot L$.
Magnetic dipole moment $m = I\times\text{area}$: $[m] = A\cdot L^2$.
$$\left[\frac pm\right] = \frac{ATL}{AL^2} = M^0L^{-1}TA^0$$
So $P = 0$ and $Q = -1$.
Solution by Sreeraj P, M.Sc Physics