Problem $5$: EM Wave: At one location on the Earth, the rms value of the magnetic field caused by solar radiation is $1\mathrm{.}80$T$.$ The average Earth$$Sun separation is $1\mathrm{.}496$ x $1011$ m$.$ The Earth$$s radius is $6,371$ km and the sun$$s radius is $695,500$ km$.$ Determine: a$)$ The time it takes for sunlight to reach the Earth. b$)$ The peak value of the electric field. c$)$ The total solar power output. d$)$ Explain the following observations using the correct keywords: i$.$ The red pen appears red, the blue pen appears blue to you because $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$ ii$.$ Red and blue colors appear in the rainbow because $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$ iii. Red and blue colors appear in the soap bubble $($or the mosaic butterfly demo in class$)$ because