CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

The earth receives solar radiation at a rate of 8.2 J/cm2 - minute. Assuming that the sun radiates like a blackbody, calculate the surface temperature of the sun. The angle subtended by the sun on the earth is 0.53 and the Stefan constant σ=5.67×108W/m2 - K4.


A
6800 K
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
5800 K
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
7800 K
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
7800 K
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 5800 K

Let the diameter of the sun be D and its distance from the earth be R. From the question,

DR0.53×π180

=9.25×103 . ...(i)

The radiation emitted by the surface fo the sun per unit time is

At distance R, this radiation falls on an area 4πR2 in unit time. The radiation received at the earth's surface per unit time per unit area is, therefore,


flag
Suggest Corrections
thumbs-up
1
BNAT
mid-banner-image