A plane polarized light is incident on a polariser with its pass axis making angle θ with x-axis, as shown in the figure. At four different values of θ, θ = 9°, 39°, 189° and 219°, the observed intensities are same. What is the angle between the direction of plane of vibration of incident light and x-axis
Question
A plane polarized light is incident on a polariser with its pass axis making angle θ with x-axis, as shown in the figure. At four different values of θ, θ = 9°, 39°, 189° and 219°, the observed intensities are same. What is the angle between the direction of plane of vibration of incident light and x-axis
Solution
To find the angle between the direction of the plane of vibration of the incident light and the x-axis, we can use the fact that the observed intensities are the same at four different values of θ.
Let's analyze the situation step by step:
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Start by drawing a diagram representing the situation described in the question. The polarizer is placed with its pass axis making an angle θ with the x-axis.
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Since the observed intensities are the same at four different values of θ, this means that the polarizer is oriented in such a way that it transmits the same amount of light regardless of the angle of incidence.
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The angle between the direction of the plane of vibration of the incident light and the x-axis can be determined by considering the angle between the pass axis of the polarizer and the x-axis.
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At θ = 9°, the observed intensity is the same as at θ = 189°. This implies that the pass axis of the polarizer is perpendicular to the x-axis at θ = 9° and θ = 189°.
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Similarly, at θ = 39°, the observed intensity is the same as at θ = 219°. This implies that the pass axis of the polarizer is parallel to the x-axis at θ = 39° and θ = 219°.
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Therefore, the angle between the direction of the plane of vibration of the incident light and the x-axis can be determined by considering the angle between the pass axis of the polarizer and the x-axis at any of the four given values of θ.
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From the information given, we can conclude that the angle between the direction of the plane of vibration of the incident light and the x-axis is 90°.
In summary, the angle between the direction of the plane of vibration of the incident light and the x-axis is 90°.
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