Q71 / 75 · JEE Main 2025 (4 Apr Shift 2) · Physics
In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of $\left[M^P L^{\circ} \mathrm{T}^{\mathrm{R}} \mathrm{A}^{\mathrm{S}}\right]$. The value of P and Q are :
- A$-1,0$
- B$-1,1$
- C$1,-1$
- Correct answerD$0,-1$
Solution
Electric dipole moment $(\overrightarrow{\mathrm{P}})=\mathrm{q} \times 2 \ell$
Magnetic dipole moment $(\overrightarrow{\mathrm{M}})=\mathrm{IA}$
$\left[\frac{\mathrm{P}}{\mathrm{M}}\right]=\left[\frac{\mathrm{LTA}}{\mathrm{~L}^2 \mathrm{~A}}\right]=\mathrm{L}^{-1} \mathrm{~T}=\mathrm{M}^0 \mathrm{~L}^{-1} \mathrm{~T}^1 \mathrm{~A}^0$
After compering values of $\mathrm{P} \& \mathrm{Q}$ are $0,-1$ Correct Answer : Option 4
Magnetic dipole moment $(\overrightarrow{\mathrm{M}})=\mathrm{IA}$
$\left[\frac{\mathrm{P}}{\mathrm{M}}\right]=\left[\frac{\mathrm{LTA}}{\mathrm{~L}^2 \mathrm{~A}}\right]=\mathrm{L}^{-1} \mathrm{~T}=\mathrm{M}^0 \mathrm{~L}^{-1} \mathrm{~T}^1 \mathrm{~A}^0$
After compering values of $\mathrm{P} \& \mathrm{Q}$ are $0,-1$ Correct Answer : Option 4
Hence, the correct answer is option: 'D'.