The oscillating electric field of an electromagnetic wave is given by $E_y = 30 \sin(2 \times 10^{11} t + 300 \pi x) \ Vm^{-1}$. Then,the value of the wavelength of the electromagnetic wave is

  • A
    $5.67 \times 10^{-3} \ m$
  • B
    $6.67 \times 10^{-3} \ m$
  • C
    $66.7 \times 10^{-3} \ m$
  • D
    $7.66 \times 10^{-3} \ m$

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During the propagation of electromagnetic waves in a medium,

The magnetic field in a plane electromagnetic wave is given by
$B_y = (2 \times 10^{-7}) \sin (0.5 \times 10^3 x + 1.5 \times 10^{11} t) \, T$
$(a)$ What is the wavelength and frequency of the wave?
$(b)$ Write an expression for the electric field.

Electromagnetic waves consist of periodically oscillating electric and magnetic vectors:

Which of the following is/are the property/properties of a monochromatic electromagnetic wave propagating in the free space?
$1$. Electric and magnetic fields will have a phase difference $\frac{\pi}{2}$.
$2$. The energy of the wave is distributed equally between electric and magnetic fields.
$3$. The pressure exerted by the wave is the product of its speed and energy density.
$4$. The speed of the wave is equal to the ratio of the magnetic field to the electric field.

$A$ plane electromagnetic wave travelling along the $X$-direction has a wavelength of $3 \ mm$. The variation in the electric field occurs in the $Y$-direction with an amplitude of $66 \ Vm^{-1}$. The equations for the electric and magnetic fields as a function of $x$ and $t$ are respectively:

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