JEE Mains · Physics · STD 11 - Units,dimensions and measurement
- JEE Mains 2025
- Medium
- MCQ
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
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Answer & Solution
Correct Answer
(D) \((1,-1)\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \frac{\phi_{\mathrm{E}}}{\phi_{\mathrm{M}}}=\frac{\mathrm{EA}}{\mathrm{BA}}=\frac{E}{B} \\ & \mathrm{~B}=\frac{\mathrm{M} \ell \mathrm{T}^{-2}}{\mathrm{ATLT}^{-1}} \\ & \text { So }\left[\frac{\mathrm{E}}{\mathrm{B}}\right]=\frac{\mathrm{ML}^{-3} \mathrm{~A}^{-1}}{\mathrm{MT}^{-2} \mathrm{~A}^{-1}}=\mathrm{LT}^{-1}\end{aligned}\)
\(\begin{aligned} & \text { Or } \\ & E=c \cdot B \\ & {\left[\frac{E}{B}\right]=L T^{-1}}\end{aligned}\)
\(\begin{aligned} & \text { Or } \\ & E=c \cdot B \\ & {\left[\frac{E}{B}\right]=L T^{-1}}\end{aligned}\)
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