The luminosity of the Sun is 4*10^33 erg/s, and its radius is 7*10^10 cm.
What is the flux of sunlight on the Earth?
i answer flux = luminosity/4pi*d^2 = 4*10^33/4pi*49*10^20=.....0,0064994151*10^13=6.49*10^10 erg/cm^2/sec thank you .please help me...
(4*10^33) / 4π(2*7*10^10)^2
= 3/(4π*4*7^2) * 10^13
= 0.001218 * 10^12
= 1.218 * 10^9
You plugged in the radius, not the diameter.
To calculate the flux of sunlight on Earth, we use the formula:
Flux = Luminosity / (4πd^2)
where Luminosity is the luminosity of the Sun and d is the distance between the Sun and Earth.
To calculate the flux of sunlight on Earth, we need to be careful with units.
The luminosity of the Sun is given as 4*10^33 erg/s.
The radius of the Sun is given as 7*10^10 cm, which means the distance from the Sun to Earth (d) is double this value, or 2*7*10^10 = 14*10^10 cm.
Let's substitute these values into the formula:
Flux = 4*10^33 erg/s / (4π * (14*10^10 cm)^2)
= 4.784584011e23 erg/sec / (4π(49*10^20 cm^2))
= 4.784584011e23 erg/sec / (193.5785384e20 cm^2)
= 2.4708281e3 erg/cm^2/sec
So, the flux of sunlight on the Earth is approximately 2.47x10^3 erg/cm^2/sec.
Please note that there might be some rounding errors in the calculations.