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QJEEM24Pha2b3: JEE Main 2024 Physics - Class 12 JEEM24Pha2b3 Solution: A capacitor has air as dielectric medium and two conducting…

A capacitor has air as dielectric medium and two conducting plates of area 12 cm212 \mathrm{~cm}^2 and they are 0.6 cm0.6 \mathrm{~cm} apart. When a slab of dielectric having area 12 cm212 \mathrm{~cm}^2 and 0.6 cm0.6 \mathrm{~cm} thickness is inserted between the plates, one of the conducting plates has to be moved by 0.2 cm0.2 \mathrm{~cm} to keep the capacitance same as in previous case. The dielectric constant of the slab is : (Given ϵ0=8.834×10−12 F/m\epsilon_0=8.834 \times 10^{-12} \mathrm{~F} / \mathrm{m} )

Multiple Choice Options

  • A 1.5
  • B 0.66
  • C 1.33
  • D 1

Step-by-Step Verified Solution

JEE Main 2024 (Online) 8th April Evening Shift Physics - Capacitor Question 14 English Explanation

amp;∈0Ad=ϵ0Adk+0.21amp;⇒0.6−0.2=0.6kamp;k=0.60.4=1.5\begin{aligned}& \frac{\in_0 A}{d}=\frac{\epsilon_0 A}{\frac{d}{k}+\frac{0.2}{1}} \\& \Rightarrow \quad 0.6-0.2=\frac{0.6}{k} \\& \quad k=\frac{0.6}{0.4}=1.5\end{aligned}

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