A Polaroid examines two adjacent plane polarized beams A and B whose planes of polarization are mutually perpendicular. In the first position of the analyser, beam B shows zero intensity. From this position a rotation of $$300$$ shows that the two beams have same intensity. The ratio of intensities of the two beams IA and IB will be

Question

A Polaroid  examines two adjacent plane polarized beams A and B whose planes of polarization  are mutually perpendicular. In the first position of the analyser, beam B  shows zero intensity. From this position a rotation of $$300$$     shows that the two  beams have same intensity. The ratio of intensities of the two beams IA      and IB      will be

Infinity Learn · Accepted Answer

For the beam A $$IA=I02cos2(90$$−$$30)$$       For the beam B $$IB=I02cos230$$                               $$IAIB=cos260cos230$$                                       $$=1434$$                           ∴  $$IAIB=13$$

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