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 the analyser need to be rotated further to reduce the output intensity to be zero is :
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I = I0 cos2θ
which is 0.77
So θ > 45° and 90 – θ < 45º so only one option is correct
i.e. 18.4º
angle rotated should be = 90° – 71.6° = 18.4°