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Maximum and minimum intensity from the intensity or amplitude ratio of two sources

This type of question, asked 8 times: 2021 Paper 3, 2021 Paper 21, 14 Jun 2022, 25 Jun 2022, 27 Jul 2022, 13 Apr 2023, 6 Apr 2024, 3 Apr 2025. All 9 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 3

    19
    Two coherent light sources having intensity in the ratio 2x2x produce an interference pattern. The ratio Imax⁡−Imin⁡Imax⁡+Imin⁡\frac{I_{\max}-I_{\min}}{I_{\max}+I_{\min}} will be :

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  2. Question 2

    2021 Paper 21

    19
    The light waves from two coherent sources have same intensity I1=I2=I0I_{1}=I_{2}=I_{0}. In interference pattern the intensity of light at minima is zero. What will be the intensity of light at maxima?

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  3. Question 3

    14 Jun 2022

    109
    Two light beams of intensities in the ratio of 9:49:4 are allowed to interfere. The ratio of the intensity of maxima and minima will be:

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  4. Question 4

    25 Jun 2022

    104
    The interference pattern is obtained with two coherent light sources of intensity ratio 4:14:1. And the ratio Imax⁡+Imin⁡Imax⁡−Imin⁡\frac{I_{\max}+I_{\min}}{I_{\max}-I_{\min}} is 5x\frac{5}{x}. Then, the value of xx will be equal to:

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  5. Question 5

    27 Jul 2022

    106
    Two coherent sources of light interfere. The intensity ratio of two sources is 1:41:4. For this interference pattern if the value of Imax⁡+Imin⁡Imax⁡−Imin⁡\frac{I_{\max}+I_{\min}}{I_{\max}-I_{\min}} is equal to 2α+1β+3\frac{2\alpha + 1}{\beta + 3}, then αβ\frac{\alpha}{\beta} will be :

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  6. Question 6

    13 Apr 2023

    109
    In a Young's double slits experiment, the ratio of amplitude of light coming from slits is 2:1. The ratio of the maximum to minimum intensity in the interference pattern is:

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  7. Question 7

    6 Apr 2024

    118
    Two coherent monochromatic light beams of intensities II and 4I4I are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is xx I. The value of xx is_____ .
  8. Question 8

    3 Apr 2025

    81
    Two monochromatic light beams have intensities in the ratio 1:91:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is.

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  9. Question 9

    3 Apr 2025

    23
    Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities in the resulting interference pattern is xI . The value of xx is ____\_\_\_\_.