The magnetic field $$\vec B=2\times10^{-5}\sin\left[\pi(0.5\times10^3x+1.5\times10^{11}t)\right]\hat j\,\text{T}$$ represents a plane electromagnetic wave travelling in space with $$x$$ in metre and $$t$$ in second. The correct statement(s) are

A

The wavelength of the wave is $$4.0\,\text{mm}$$ and its frequency is $$75\,\text{GHz}$$

B

The energy density associated with the wave is nearly $$316\,\mu\text{J m}^{-3}$$

C

The electric field vector is $$\vec E=-6000\sin[\pi(0.5\times10^3x-1.5\times10^{11}t)]\hat k\,\text{V m}^{-1}$$

D

The electric field vector is $$\vec E=6000\sin[\pi(0.5\times10^3x+1.5\times10^{11}t)]\hat k\,\text{V m}^{-1}$$