In the given electromagnetic wave $E_y=600 \sin (\omega t-k x) \mathrm{Vm}^{-1}$, intensity of the associated light beam is (in $\mathrm{W} / \mathrm{m}^2$ ); (Given $\epsilon_0=$ $\left.9 \times 10^{-12} \mathrm{C}^{-2} \mathrm{~N}^{-1} \mathrm{~m}^{-2}\right)$

  • [JEE MAIN 2024]
  • A

    $486$

  • B

     $243$

  • C

    $729$

  • D

    $972$

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A lamp emits monochromatic green light uniformly in all directions. The lamp is $3\%$ efficient in converting electrical power to electromagnetic waves and consumes $100\,W$ of power . The amplitude of the electric field associated with the electromagnetic radiation at a distance of $5\,m$ from the lamp will be nearly.......$V/m$

  • [JEE MAIN 2014]

Suppose that the electric field part of an electromagnetic wave in vacuum is

$E =\left\{(3.1 \;N / C ) \text { cos }\left[(1.8 \;rad / m ) y+\left(5.4 \times 10^{6} \;rad / s \right) t\right]\right\} \hat{ i }$

$(a)$ What is the direction of propagation?

$(b)$ What is the wavelength $\lambda$ ?

$(c)$ What is the frequency $v ?$

$(d)$ What is the amplitude of the magnetic field part of the wave?

$(e)$ Write an expression for the magnetic field part of the wave.