Consider three quantities $x = E/B$,$y = \sqrt{1/(\mu_0 \varepsilon_0)}$ and $z = l/RC$. Here,$l$ is the length of a wire,$C$ is capacitance,and $R$ is resistance. All other symbols have standard meanings. Which of the following statements is correct?

  • A
    $x$ and $y$ have the same dimensions.
  • B
    $y$ and $z$ have the same dimensions.
  • C
    $z$ and $x$ have the same dimensions.
  • D
    All of the above.

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List-$I$List-$II$
$(A)$ Gauss's law$(I)$ Surface charge density
$(B)$ Faraday's law$(II)$ Electric charge and energy conservation
$(C)$ Ampere's law$(III)$ Change in magnetic flux
$(D)$ Kirchhoff's law$(IV)$ Change in electric flux
$(V)$ Total electric flux

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$A$ parallel plate capacitor has a capacitance $C = 200 \ pF$. It is connected to a $230 \ V$ $AC$ supply with an angular frequency $\omega = 300 \ rad/s$. The $rms$ value of the conduction current in the circuit and the displacement current in the capacitor,respectively,are:

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