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Physics · PYQ NEET UG 2020

हिन्दी

The capacitance of a parallel plate capacitor with air as medium is \( 6\ \mu\text{F} \). With the introduction of a dielectric medium, the capacitance becomes \( 30\ \mu\text{F} \). The permittivity of the medium is: (\( \varepsilon_0 = 8.85 \times 10^{-12}\text{ C}^2\text{N}^{-1}\text{m}^{-2} \))

  1. \( 1.77 \times 10^{-12}\text{ C}^2\text{N}^{-1}\text{m}^{-2} \)
  2. \( 0.44 \times 10^{-10}\text{ C}^2\text{N}^{-1}\text{m}^{-2} \)
  3. \( 5.00\text{ C}^2\text{N}^{-1}\text{m}^{-2} \)
  4. \( 0.44 \times 10^{-13}\text{ C}^2\text{N}^{-1}\text{m}^{-2} \)

Correct answer · Option 2

\( 0.44 \times 10^{-10}\text{ C}^2\text{N}^{-1}\text{m}^{-2} \)

Explanation

Dielectric constant \( K = \frac{C}{C_0} = \frac{30}{6} = 5 \). Permittivity \( \varepsilon = K\varepsilon_0 = 5 \times 8.85 \times 10^{-12} = 44.25 \times 10^{-12} = 0.44 \times 10^{-10}\text{ C}^2\text{N}^{-1}\text{m}^{-2} \).
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