Electromagnetic WavesHard
Question
The electric field of an electromagnetic wave in free space is given by 
= 10 cos(107 t + kx)
V/m, where t and x are in seconds and meters 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 propagating along +x direction
Which one of the following statement is correct
= 10 cos(107 t + kx)V/m, where t and x are in seconds and meters 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 propagating along +x direction
Which one of the following statement is correct
Options
A.(3) and (4)
B.(1) and (2)
C.(2) and (3)
D.(1) and (3)
Solution
As given
E = 10 cos(107t + kx)
Comparing it with standard equation of e.m. wave,
E = E0 cos(ωt + kx)
Amplitude E0 = 10 V/n and ω = 107 rad/s
∵
or λ =
= 188.4 m
Also, c =
or k = 
The wave is propagating along y direction.
E = 10 cos(107t + kx)
Comparing it with standard equation of e.m. wave,
E = E0 cos(ωt + kx)
Amplitude E0 = 10 V/n and ω = 107 rad/s
∵
or λ =
= 188.4 mAlso, c =
or k = The wave is propagating along y direction.
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