can you please write out all the steps to the answer After reaching a distant pl

Question

can you please write out all the steps to the answer

After reaching a distant planet, an astronaut on your ship is scanned by the alien life forms using a polarized light source. Polarized light passing through a medium with absorbed sugar will experience a net rotation due to an asymmetry in the shape of the sugar molecules. Assume the net effect on the incident polarization when testing a human after fasting is negligible. The scanning machine (polarimeter) measures a 0.15 degree rotation per cm of human after one donut is consumed. Assume the intensity of the light is otherwise unaffected as it shines through our subject, because this can be corrected by a calibration measurement. When the aliens test their subject, the measured light intensity of the transmitted beam is found to be 17.3% of the light intensity incident on the astronaut. How many donuts did our astronaut consume?

Explanation / Answer

I = I0 cos^2 (@)

0.173 I0 = I0 cos^2 (@)

cos@ = 0.416

@ = 65.42 deg

for 10 cm per donut = 1.5 deg

no. of donut = 65.42/1.5 = 43.61 donuts

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