Physics Question from JEE Main 2025 · 4 April, Shift 2

If an optical medium possesses a relative permeability of $\frac{10}{\pi}$ and relative permittivity of $\frac{1}{0.0885}$, then the velocity of light is greater in vacuum than in that medium by _____ times.

$$(\mu_0 = 4\pi \times 10^{-7} \, H/m, \quad \epsilon_0 = 8.85 \times 10^{-12} \, F/m, \quad c = 3 \times 10^8 \, m/s)$$