The electric field of an electromagnetic wave in free space is given by $\vec{E} = 10 \cos (10^{7} t + kx) \hat{j} V / m$ , where t and x are in seconds and metres respectively. It can be inferred that
1) the wavelength $λ$ is 188.4 m
2) the wave number k is 0.33 rad/m.
3) the wave amplitude is 10 V/m.
4) the wave is propagating along + x direction.
Which one of the following pairs of statements is correct ?

Question

The electric field of an electromagnetic wave in free space is given by $\vec{E} = 10 \cos (10^{7} t + kx) \hat{j} V / m$ , where t and x are in seconds and metres respectively. It can be inferred that

1) the wavelength $λ$ is 188.4 m

2) the wave number k is 0.33 rad/m.

3) the wave amplitude is 10 V/m.

4) the wave is propagating along + x direction.

Which one of the following pairs of statements is correct ?

Infinity Learn · Accepted Answer

Wavelength λ ; Given ω $$=$$ $$107$$ rad $$/$$ $$sec$$λ$$=Cn=3$$ x $$108$$ω$$2$$π$$=3$$ x $$1081072$$π$$=30$$ x $$2$$π$$=188.4$$ mAmplitude of electric field $$=$$ $$10$$ $$V/m$$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material