o a first approximation the sun is an ideal blackbody emitter of light, at a temperature T $=$

$5770.$ K $($Figure $1).$ The diameter of the sun is D $=1\mathrm{.}392$ x $109$ m$.$

a$)$ What are the values for $\backslash$lambda max and Mtotal, the peak emission wavelength $($in nm$)$ and total

intensity of emitted light $($in J$/$m$2$s$),$ for the sun?To a first approximation the sun is an ideal blackbody emitter of light, at a temperature $T=$

$K($Figure $1).$ The diameter of the sun is $D=1\mathrm{.}392{10}^{9}m.$

a$)$ What are the values for ${}_{\text{m}\text{a}\text{x}}$ and $M_{\text{t}\text{o}\text{t}\text{a}\text{l}},$ the peak emission wavelength $($in $nm)$ and total

intensity of emitted light $($in $\frac{J}{m^2}*s),$ for the sun?

b$)$ What is the total rate of at which energy is emitted by the sun $(\frac{J}{s})?$

c$)$ What fraction of the energy emitted by the sun falls in the visible region of the

spectrum Note: you will have to find the value for the appropriate

integral, ${\displaystyle \underset{400}{\overset{700}{}}}M(,T)d,$ approximately. Use the rectangle rule. I would recommend dividing

the integral into two parts, from $400.nm$ to ${}_{\text{m}\text{a}\text{x}}$ and from ${}_{\text{m}\text{a}\text{x}}$ to $700.nm).$