Quick Question $2$: Suppose a star has a parallax $p=0\mathrm{.}01$ arcsec$,$ peak wavelength ${}_{\text{m}\text{a}\text{x}}=250nm,$ and apparent magnitude $m=+5.$ About what is its:

a$.$ Distance $d($in pc$)?$

b$.$ Distance modulus $m-M?$

c$.$ Absolute magntidue $M?$

d$.$ Luminosity $L($in $L_{o.})?$

e$.$ Surface temperature $T($in $T_{o.})?$

f$.$ Radius $R($in $R_{o.})?$

g$.$ Angular radius $($in radian and arcsec$)?$

h$.$ Solid angle $($in steradian and $arcse{c}^2)?$

i$.$ Surface brightness relative to that of the Sun, $\frac{B}{B_{o.}}?$