2. (10 points) Bouncing Sunbeams A suuray with tensity Jo is directed at arth (e

Question

2. (10 points) Bouncing Sunbeams A suuray with tensity Jo is directed at arth (e below Figure). A fraction R of the ray's intensity is reflected bael to space off the atmospherie laver (depicted as a cloud). Another fraction A is absorbed in the at smosphere, and the remaining froction T, is transmitted through the atnosphere to the Earth surface. These three fractions sum to unity: Ro +Te Aa-1, accounting for all the liglht The fraction transmitted through the atmosphere undergoes a sinilar fractionation on the F fraction R, is reflected back and the resnaining fraction A 1 e is absorbed. No radintion transmits through the earth as it is too thiclk. The fraction of radiation R, reflected back to the atmosphere layer indergoes a furdl reflection-transmissiou-absorptio either being absorbed as heat or reflected back to earth in an infinite cycle on the incre her n fractionation with sorne radiation T, escaping to outer space and the remainder remaining radiation intensity. As you will see, this buel-and-forth process in our atmosphera amount of light to be absorbed compared to if we had no atmosphen Some radiaion escapes back to space Light is either reflected back to space absorbed, or transmined through atmosphere layer Io Atmosphere On Earth's surface light is either reflected back to atmosphere or absorbed

Explanation / Answer

answer-

a) fraction of the original intensity that excapes back to space is o.4 of Io.

b)fraction absorbed by earth =0.02 of IO.

c)if there were no atmosphere then incoming radiation of IO=1 will be absrobed by the earth.But the radiation from the earth surface will be more because of the increased incoming radiation.Also the incoming-outgoing energy distribution will be in accordance with the earths radiation budget.

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