Question

The value of $\frac{1}{\sqrt{{\mu }_0{\epsilon }_0}}$

• A. $3\times {10}^{6}m/s$
• B. $3\times {10}^{8}m/s$
• C. $3\times {10}^{4}m/s$
• D. 332m/s

Answer 1

The correct option is B $3\times {10}^{8}m/s$

The permeability in vacuum is ${\mu }_0=4\pi \times {10}^{-7}N/A^2$ and permittivity in vacuum is ${ϵ}_0=8.85\times {10}^{-12}{C}^2/N.m^2$

So, $\frac{1}{\sqrt{{\mu }_0{ϵ}_0}}=\frac{1}{\sqrt{4\pi \times {10}^{-7}\times 8.85\times {10}^{-12}}}=3\times {10}^{8}m/s$.