What is the intensity of a traveling plane electromagnetic wave if $B_{\mathrm{m}}$ is $3.0\times {10}^{-4 }\mathrm{T}?$

Figure depicts a simplistic optical fiber: a plastic core $\left(n_1=1.58\right)$ is surrounded by a plastic sheath $\left(n_2=1.46\right).$ A light ray is incident on one end of the fiber at angle $\text{θ}.$ The ray is to undergo total internal reflection at point $A,$ where it encounters the core-sheath boundary. (Thus there is no loss of light through that boundary.) What is the maximum value of $\text{θ}$ that allows total internal reflection at $A?$

Frank D. Drake, an investigator in the SETI (Search for Extra-Terrestrial Intelligence) program, once said that the large radio telescope in Arecibo, Puerto Rico in figure "can detect a signal which lays down on the entire surface of the earth, a power of only one $\mathrm{pico}‐\mathrm{watt}$." $\left(a\right)$ What is the power that would be received by the Arecibo antenna for such a signal? The antenna diameter is $300 \mathrm{m}$. $\left(b\right)$ What would be the power of an isotropic source $9000 \mathrm{ly}$ away that could provide such a signal? A light-year $\left(\mathrm{ly}\right)$ is the distance light travels in one year.

From the figure, approximate the $\left(a\right)$ smaller and $\left(b\right)$ larger wavelength at which the eye of a standard observer has half the eye's maximum sensitivity. What are the $\left(c\right)$ wavelength, $\left(d\right)$ frequency and $\left(e\right)$ period of the light at which the eye is the most sensitive?

Sunlight just outside the Earth's atmosphere has an intensity of $1.40 \mathrm{kW} {\mathrm{m}}^{-2}.$ Calculate

$\left(a\right)$ $E_{\mathrm{m}}$
$\left(b\right)$ $B_{\mathrm{m}}$
$\left(c\right)$ $E_{\mathrm{rms}}$ and
$\left(d\right)$ ${\mathrm{B}}_{\text{rms }}$ for sunlight there, assuming it to be a plane wave.