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 \mu _0 \over \varepsilon _0 B_0 . In the light of the above statements, choose the correct answer from the options given below :

Statement I is true and Statement II is false

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is false but Statement II is true

Electromagnetic Waves PYQ — JEE Main 2023 · 29 Jan · Shift 2 · Q52 with Solution

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Correct answer: B

Electromagnetic waves consist of oscillating electric and magnetic fields and carry no net charge.

Since they are uncharged, they are not deflected by external electric or magnetic fields in the way charged particles are.
Hence, Statement I is true.

For an electromagnetic wave in free space, the relation between the amplitudes of electric and magnetic fields is

$E_0 = c B_0$

Also,

$c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$

Therefore,

$E_0 = \frac{1}{\sqrt{\mu_0 \varepsilon_0}} \, B_0$

But the statement gives

$E_0 = \sqrt{\frac{\mu_0}{\varepsilon_0}} \, B_0$

Now,

$\sqrt{\frac{\mu_0}{\varepsilon_0}} \neq \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$

So Statement II is false.

Therefore, the correct option is:

$\boxed{\text{B}}$