Physics · JEE | Electrostatic Potential and Capacitance

A linear isotropic dielectric slab is placed in an external uniform electric field \( E_0 \). If the electric susceptibility of the dielectric is \( \chi_e = 4 \), and the magnitude of the polarization vector is \( P = 1.2 \times 10^{-7}\text{ C/m}^2 \), what is the magnitude of the external electric field \( E_0 \) in \( \text{V/m} \)? (Take \( \varepsilon_0 = 8.85 \times 10^{-12}\text{ C}^2\text{N}^{-1}\text{m}^{-2} \))

1. A
   \( 1.35 \times 10^4 \)
2. B
   \( 3.39 \times 10^3 \)
3. C
   \( 6.78 \times 10^3 \)
4. D
   \( 2.71 \times 10^4 \)