17.2 (a) Use the fact that f [2³/(e² - 1)] dz = π/15 to show that the total radiant energy emitted per second by unit area of a blackbody is 27³KT4/15c²h³. Note that this quantity is propor- tional to T4 (Stefan's law). (b) The sun's diameter is 1.4 X 10⁰ m and its effective surface temperature is 5800 K. Assume the sun is a blackbody and estimate the rate of energy loss by radiation from the sun. (c) Use E = mc2² to calculate the relativistic mass of the photons lost by radiation from the sun in 1 year.
17.2 (a) Use the fact that f [2³/(e² - 1)] dz = π/15 to show that the total radiant energy emitted per second by unit area of a blackbody is 27³KT4/15c²h³. Note that this quantity is propor- tional to T4 (Stefan's law). (b) The sun's diameter is 1.4 X 10⁰ m and its effective surface temperature is 5800 K. Assume the sun is a blackbody and estimate the rate of energy loss by radiation from the sun. (c) Use E = mc2² to calculate the relativistic mass of the photons lost by radiation from the sun in 1 year.
Related questions
Question
![17.2 (a) Use the fact that fo [2³/(e² − 1)] dz = π¹/15 to show
that the total radiant energy emitted per second by unit area of a
blackbody is 27³KT4/15c²h³. Note that this quantity is propor-
tional to T4 (Stefan's law). (b) The sun's diameter is 1.4 × 10⁹ m
and its effective surface temperature is 5800 K. Assume the sun
is a blackbody and estimate the rate of energy loss by radiation
from the sun. (c) Use E mc² to calculate the relativistic mass
of the photons lost by radiation from the sun in 1 year.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04e55746-9541-4d49-83e6-f6533b4eddc1%2Fa7d9006c-5aa8-4e37-9268-a362ba093fbe%2Fafvabs7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:17.2 (a) Use the fact that fo [2³/(e² − 1)] dz = π¹/15 to show
that the total radiant energy emitted per second by unit area of a
blackbody is 27³KT4/15c²h³. Note that this quantity is propor-
tional to T4 (Stefan's law). (b) The sun's diameter is 1.4 × 10⁹ m
and its effective surface temperature is 5800 K. Assume the sun
is a blackbody and estimate the rate of energy loss by radiation
from the sun. (c) Use E mc² to calculate the relativistic mass
of the photons lost by radiation from the sun in 1 year.
=
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
