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Intensity after unpolarised light passes through polaroids at given angles

This type of question, asked 4 times: 2021 Paper 19, 29 Jul 2022, 1 Feb 2023, 30 Jan 2024. All 4 questions below, oldest first.

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  1. Question 1

    2021 Paper 19

    22
    A source of light is placed in front of a screen. Intensity of light on the screen is I. Two Polaroids P1P_{1} and P2P_{2} are so placed in between the source of light and screen that the intensity of light on screen is I/2I/2. P2P_{2} should be rotated by an angle of ______ (degrees) so that the intensity of light on the screen becomes 3I8\frac{3I}{8}.

  2. Question 2

    29 Jul 2022

    99
    An unpolarised light beam of intensity 2I02I_{0} is passed through a polaroid PP and then through another polaroid QQ which is oriented in such a way that its passing axis makes an angle of 30∘30^{\circ} relative to that of PP. The intensity of the emergent light is

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  3. Question 3

    1 Feb 2023

    10
    nn polarizing sheets are arranged such that each makes an angle 45∘45^{\circ} with the preceding sheet. An unpolarized light of intensity I is incident into this arrangement. The output intensity is found to be I/64. The value of nn will be:

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  4. Question 4

    30 Jan 2024

    101
    A beam of unpolarised light of intensity I0I_{0} is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of 45∘45^{\circ} relative to that of AA. The intensity of emergent light is:

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