Given below are two statements:
Statement I: Electromagnetic waves are not deflected by electric and magnetic field.
Statement II: The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as $$E_0 = \sqrt{\frac{\mu_0}{\epsilon_0}} B_0$$.
In the light of the above statements, choose the correct answer from the options given below:

We need to evaluate the two statements about electromagnetic waves.

Statement I: Electromagnetic waves are not deflected by electric and magnetic fields.

This statement is TRUE. Electromagnetic waves are charge-neutral and carry no net charge, so they are not deflected by external electric or magnetic fields. Only charged particles are deflected by such fields.

Statement II: The amplitude of electric field and magnetic field in electromagnetic waves are related as $$E_0 = \sqrt{\dfrac{\mu_0}{\varepsilon_0}} B_0$$.

The correct relationship between the amplitudes of the electric and magnetic fields in an electromagnetic wave is:

$$E_0 = c \cdot B_0 = \dfrac{1}{\sqrt{\mu_0 \varepsilon_0}} \cdot B_0$$

The quantity $$\sqrt{\dfrac{\mu_0}{\varepsilon_0}}$$ is the impedance of free space $$Z_0 \approx 377 \, \Omega$$, which is NOT equal to the speed of light $$c = \dfrac{1}{\sqrt{\mu_0 \varepsilon_0}} \approx 3 \times 10^8 \, \text{m/s}$$.

Therefore, Statement II is FALSE.

Conclusion: Statement I is true but Statement II is false.

The correct answer is Option A: Statement I is true but Statement II is false.