A $$polarizer-analyser$$ set is adjusted such that the intensity of light coming out of the analyser is just $$10$$% of the original intensity. Assuming that the polarizer $$-analyser$$ set does not absorb any light, the angle by which of the analyser need to be rotated further to reduce the output intensity to be zero is

Question

A $$polarizer-analyser$$ set is adjusted such that the intensity of light coming out of the  analyser is just $$10$$% of the original intensity. Assuming that the polarizer $$-analyser$$ set does not absorb any light, the angle by which of the analyser need to be rotated further to reduce the output intensity to be zero is

Infinity Learn · Accepted Answer

Let say incoming intensity to Analyser $$=$$ $$I0$$​and outgoing intensity to Analyser $$=$$ I​Then as per Malus' Law, $$I=I0cos2$$θ            ​⇒$$I010=I0cos2$$θ ⇒$$cos$$θ$$=110=0.31$$⇒θ $$=$$ $$71.6oSo$$, angle rotated should be $$=$$ $$90$$º$$-71.6$$º$$=18.4$$º

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