- #1
stunner5000pt
- 1,461
- 2
A solar flare releases 10^25 Joules of energy in one hour over an area amounting to 1% of the area of the Sun’s disk (radius 6.96 x 10^5 km).
(a) Calculate the Solar irradiance in W m-2 associated with this flare.
(b) Compare this with the black body radiation emitted by the Sun assuming a temperature of 6000 K.
(c) If the flare's energy is mostly in 5 keV x-rays calculate the associated x-ray photon flux striking a spacecraft in low Earth orbit
area of the sun = 1.54 x 10^18 m^2
two areas
area of the remaining of the sun = 1.52 x 10^18 m^2
area of the flare = 1. 54 x 10^16 m^2
irradiance =[tex] \sigma T^4 (\mbox{Area}) [/tex]
from th energy we can calculate the associated wavelength. Should the energy be per SECOND? Or leave it unconverted...
[tex] E = \frac{hc}{\lambda} [/tex]
from the wavelength we can caluclate the temperature
[tex] \lambda_{max} T = 2897 \mu m K [/tex]
from the temperature we can caluclate the irradiance of the flare.
good so far?
More to come!
Please help me out! This is the final problem in an assignment worth 10% of my mark!
(a) Calculate the Solar irradiance in W m-2 associated with this flare.
(b) Compare this with the black body radiation emitted by the Sun assuming a temperature of 6000 K.
(c) If the flare's energy is mostly in 5 keV x-rays calculate the associated x-ray photon flux striking a spacecraft in low Earth orbit
area of the sun = 1.54 x 10^18 m^2
two areas
area of the remaining of the sun = 1.52 x 10^18 m^2
area of the flare = 1. 54 x 10^16 m^2
irradiance =[tex] \sigma T^4 (\mbox{Area}) [/tex]
from th energy we can calculate the associated wavelength. Should the energy be per SECOND? Or leave it unconverted...
[tex] E = \frac{hc}{\lambda} [/tex]
from the wavelength we can caluclate the temperature
[tex] \lambda_{max} T = 2897 \mu m K [/tex]
from the temperature we can caluclate the irradiance of the flare.
good so far?
More to come!
Please help me out! This is the final problem in an assignment worth 10% of my mark!