Suppose that the electric field amplitude of electromagnetic wave is E 0=120 NC -1 and its frequency if f =50 MHz. Then which of the following value incorrectly computed ?

Question

Suppose that the electric field amplitude of electromagnetic wave is E 0=120 NC -1 and its frequency if f =50 MHz. Then which of the following value incorrectly computed ? (A) Magnetic field amplitude is 400 nT. (B) Angular frequency of EM wave is π × 108 rad / s (C) Propagation constant (angular wave number) is 2.1 rad / m (D) Wavelength of EM wave is 6 m.

Tardigrade Admin · Accepted Answer

c =( E 0/ B 0) B 0=( E 0/ c ) =(120/3 × 108)=400 nT k =(2 π/λ)=(2 × 3.14/6) k ≠ 2.1 rad m -1

Q. Suppose that the electric field amplitude of electromagnetic wave is $E_{0} = 120 N C^{- 1}$ and its frequency if $f = 50 M Hz$ . Then which of the following value incorrectly computed ?

Magnetic field amplitude is $400 n T$ .

Angular frequency of EM wave is $π \times 1 0^{8} r a d / s$

Propagation constant (angular wave number) is $2.1 r a d / m$

Wavelength of EM wave is $6 m$ .

$c = \frac{E _{0}}{B _{0}}$
$B_{0} = \frac{E _{0}}{c}$
$= \frac{120}{3 \times 1 0 ^{8}} = 400 n T$
$k = \frac{2 π}{λ} = \frac{2 \times 3.14}{6}$
$k \neq = 2.1 r a d m^{- 1}$

Q. Suppose that the electric field amplitude of electromagnetic wave is E0​=120NC−1 and its frequency if f=50MHz. Then which of the following value incorrectly computed ?

Magnetic field amplitude is 400nT.

Angular frequency of EM wave is π×108rad/s

Propagation constant (angular wave number) is 2.1rad/m

Wavelength of EM wave is 6m.