Question

Only 25% of the intensity of a polarized light wave passes through a polarizing filter. What is the angle between the electric field and the axis of the filter

Answer 1

Answer: Only 25% of the intensity of a polarized light wave passes through a polarizing filter. Then the angle between the electric field and the axis of the filter will be 60 degrees.

Explanation: To find the answer of the problem given, we have to know about the Malu's law of polarization.

What is Malu's law of polarization?

• This law states that, when a beam of completely polarized light is passed through an analyzer, then then intensity I of the transmitted light varies directly as the square of the angle $\alpha$ between the transmission direction of the polarizer and the analyzer.
• The expression for this law will be,

                                         $I=I_0cos\alpha$

• Where, I₀ is the maximum intensity of the transmitted light through the polarizer.

How to solve the problem?

• From the question, it is clear that, the 25% of the intensity of a polarized light wave passes through the filter.

                                        $\frac{I}{I_0} =0.25$

• Thus, the angle between electric field and the axis of the filter is,

                                        $cos^2\alpha =0.25\\cos\alpha =\sqrt{0.25} =0.5\\\alpha =cos^-1(0.5)=60 degrees$

Thus, we can conclude that, the angle between the electric field and the axis of the filter will be 60 degrees.

Learn more about the Malus law of polarization here:

brainly.com/question/28020002

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