SATHEE: Electromagnetic Waves - Result Question 12

Electromagnetic Waves - Result Question 12

12. The electric field part of an electromagnetic wave in a medium is represented by $E_{x} = 0$ ;

$E_{y} = 2.5 \frac{N}{C} \cos [(2 π \times 10^{6} \frac{r a d}{m}) t - (π \times 10^{- 2} \frac{r a d}{s}) x];$ $E_{z} = 0$ . The wave is :

[2009]

(a) moving along $x$ direction with frequency $10^{6} H z$ and wave length $100 m$ .

(b) moving along $x$ direction with frequency $10^{6} H z$ and wave length $200 m$ . (c) moving along $- x$ direction with frequency $10^{6} H z$ and wave length $200 m$ .

(d) moving along y direction with frequency $2 π \times 10^{6} H z$ and wave length $200 m$ .

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Answer:

Correct Answer: 12. (b)

Solution:

(b) Comparing with the equation of wave. $E_{y} = E_{0} \cos (ω t - k x)$

$ω = 2 π f = 2 π \times 10^{6} ∴ f = 10^{6} H z$

$\frac{2 π}{λ} = k = π \times 10^{- 2} m^{- 1}, λ = 200 m$

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Electromagnetic Waves - Result Question 12

12. The electric field part of an electromagnetic wave in a medium is represented by Ex=0;

Answer:

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12. The electric field part of an electromagnetic wave in a medium is represented by $E_{x} = 0$ ;