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  4. Two beams, A and B , of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position where the beam A has maximum intensity and the other beam B has zero intensity, the polaroid is rotated through 30° making the two beams appear equally bright. If the initial intensities of the two beams are IA and IB respectively, then (IA/IB) equals

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Q. Two beams, $A$ and $B$ , of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position where the beam $A$ has maximum intensity and the other beam $B$ has zero intensity, the polaroid is rotated through $30^\circ $ making the two beams appear equally bright. If the initial intensities of the two beams are $I_{A}$ and $I_{B}$ respectively, then $\frac{I_{A}}{I_{B}}$ equals

NTA AbhyasNTA Abhyas 2022

Solution:

$I_{A}cos^{2}30^\circ =I_{B}cos^{2}60^\circ $
$\Rightarrow \frac{I_{A}}{I_{B}}=\frac{1}{3}$