Electrostatics & Capacitors · JEE Advanced previous year questions

2023 3 questions

1. Q222023 · 4 Jun 2023 · Paper 1
   
   1. A.$27\mathrm{pF}$
   2. B.$63\mathrm{pF}$
   3. C.$81\mathrm{pF}$
   4. D.$135\mathrm{pF}$
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   Answer: B

2. Q182023 · 4 Jun 2023 · Paper 2
   
   1. A.$V_0/4$
   2. B.$V_0/2$
   3. C.$V_0/\sqrt{2}$
   4. D.$3V_0/4$
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   Answer: B

3. Q242023 · 4 Jun 2023 · Paper 2· One or more correct

   The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by $\vec{E}=30(2\hat{x}+\hat{y})\sin \left[2\pi \left(5\times 10^{14}t-\frac{10^7}{3}z\right)\right]\mathrm{V}{\mathrm{m}}^{-1}$. Which of the following option(s) is(are) correct? [Given: The speed of light in vacuum, $c=3\times 10^8\mathrm{m}{\mathrm{s}}^{-1}$]

   1. A.$B_x=-2\times 10^{-7}\sin \left[2\pi \left(5\times 10^{14}t-\frac{10^7}{3}z\right)\right]\mathrm{Wb}{\mathrm{m}}^{-2}$.
   2. B.$B_y=2\times 10^{-7}\sin \left[2\pi \left(5\times 10^{14}t-\frac{10^7}{3}z\right)\right]\mathrm{Wb}{\mathrm{m}}^{-2}$.
   3. C.The wave is polarized in the $xy$-plane with polarization angle $30^{\circ }$ with respect to the $x$-axis.
   4. D.The refractive index of the medium is 2.
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   Answer: A, D