The capacitance of a parallel plate capacitor with air as medium is $6 μF$ With the introduction of a dielectric medium, the capacitance becomes $30 μF$ . The permittivity of the medium is $(ε_{0} = 8 .55 \times 10^{- 12} C^{2} N^{- 1} m^{- 2})$

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$1 .77 \times 10^{- 12} C^{2} N^{- 1} m^{- 2}$

$0 .44 \times 10^{- 10} C^{2} N^{- 1} m^{- 2}$

$5 .00 C^{2} N^{- 1} m^{- 2}$

$0 .44 \times 10^{- 13} C^{2} N^{- 1} m^{- 2}$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$C_{air} = \frac{ε_{0} A}{d}$

$\begin{array}{l} C_{med} = \frac{{Kε}_{0} A}{d} \\ C_{med} = {KC}_{air} \\ 30 = K 6 \\ K = 5 \\ \frac{ε}{ε_{0}} = 5 \end{array}$

$\begin{array}{l} ε = 5 ε_{0} = 5 \times 8 .85 \times 10^{- 12} \\ = 0 .44 \times 10^{- 10} \end{array}$

Watch 3-min video & get full concept clarity