Q72 / 75 · JEE Main 2025 (4 Apr Shift 1) · Physics
In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of $\mathrm{M}^{\mathrm{P}} \mathrm{L}^{\mathrm{Q}} \mathrm{T}^{\mathrm{R}} \mathrm{A}^{\mathrm{S}}$, where value of ' Q ' and ' R ' are
- A$(3,-5)$
- B$(-2,2)$
- C$(-2,1)$
- Correct answerD$(1,-1)$
Solution
$\begin{aligned} & \frac{\phi_{\mathrm{E}}}{\phi_{\mathrm{M}}}=\frac{\mathrm{EA}}{\mathrm{BA}}=\frac{E}{B} \\ & \mathrm{~B}=\frac{\mathrm{M} \ell \mathrm{T}^{-2}}{\mathrm{ATLT}^{-1}} \\ & \text { So }\left[\frac{\mathrm{E}}{\mathrm{B}}\right]=\frac{\mathrm{ML}^{-3} \mathrm{~A}^{-1}}{\mathrm{MT}^{-2} \mathrm{~A}^{-1}}=\mathrm{LT}^{-1}\end{aligned}$
$\begin{aligned} & \text { Or } \\ & E=c \cdot B \\ & {\left[\frac{E}{B}\right]=L T^{-1}}\end{aligned}$
$\begin{aligned} & \text { Or } \\ & E=c \cdot B \\ & {\left[\frac{E}{B}\right]=L T^{-1}}\end{aligned}$
Hence, the correct answer is option: 'D'.