If `E` and `B` denote electric and magnetic fields respectively, which of the following is dimensionless?

Options

A. `sqrt(mu_(0)epsilon_(0))(E)/(B)`
B. `mu_(0)epsilon_(0)(E)/(B)`
C. `mu_(0)epsilon_(0)((B)/(E))^(2)`
D. `(E)/(epsilon_(0))(mu_(0))/(B)`

Answer

A

Explanation

Speed of light, `c=(1)/(sqrt(mu_(0)epsilon_(0)))`
Also, `(E)/(B)=c`. Therefore, `sqrt(mu_(0)epsilon_(0))(E)/(B)` is dimensionless.