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JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement

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

  1. A \((3,-5)\)
  2. B \((-2,2)\)
  3. C \((-2,1)\)
  4. D \((1,-1)\)
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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}…

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