Two polarizing sheets are placed with their planes parallel, so that light intensity
transmitted is maximum. Through what angle must either sheet be turned so that light intensity drops to half the maximum value ?
transmitted is maximum. Through what angle must either sheet be turned so that light intensity drops to half the maximum value ?
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According to the law of Malus,
I = I°.cos^2(x)
Where, x is the phase difference,
Therefore, cos^2(x) = I/I° = 1/2
Therefore, cos(x) = ±1/√2
=> cos(x) = +1/√2 and cos(x) = -1/√2
=> x = ±45° and x = ±135°
=> The effect will be same when any of the two sheets is turned through x in any direction.
Answer:
io/2 cos^2 = cos^2 ( io/2)
coso= + 1/√2
o= 48°, 135°