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One of the effects of pollution is the gradual build-up of layers of grim...

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One of the effects of pollution is the gradual build-up of layers

of grime on surfaces.  You are

investigating how this affect the performance of solar cells.  After one month without rain, you find that a

layer of grime with thickness

builds up on

the solar panels on top of the Shilling Building.  You find you can treat the grime layer as a

single material with absorption coefficient

.

Plank’s constant , the speed of light

and the proton charge

.

Calculate the fraction of light that penetrates to the

solar cell through the grime (the ratio of the light intensity with the grime layer

and the light intensity of a solar cell when

).

State your answer as a decimal fraction, rounding to two

decimal places if necessary.

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