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Resultant intensity of two unequal beams at a given phase difference

This type of question, asked 5 times: 25 Jun 2022, 27 Jul 2022, 29 Jul 2022, 31 Jan 2024, 7 Apr 2025. All 5 questions below, oldest first.

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  1. Question 1

    25 Jun 2022

    13
    The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π2\frac{\pi}{2} at point PP and π\pi at point QQ. Then the difference between the resultant intensities at PP and QQ will be:

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  2. Question 2

    27 Jul 2022

    23
    Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the two beams are π/2\pi/2 and π/3\pi/3 at points AA and BB respectively. The difference between the resultant intensities at the two points is xIxI. The value of xx will be

  3. Question 3

    29 Jul 2022

    27
    Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen at point AA is zero and at point BB is π\pi. The difference of resultant intensities, at the point AA and BB, will be_________ I.

  4. Question 4

    31 Jan 2024

    26
    Two waves of intensity ratio 1:91:9 cross each other at a point. The resultant intensities at the point, when (a) Waves are incoherent is I1I_{1} (b) Waves are coherent is I2I_{2} and differ in phase by 60∘60^{\circ}. If I1I2=10x\frac{I_{1}}{I_{2}}=\frac{10}{x} then x=x = ______ .

  5. Question 5

    7 Apr 2025

    2
    Two plane polarized light waves combine at a certain point whose electric field components areE1=E0sin⁡ωtE2=E0sin⁡(ωt+π3)\begin{matrix} & E_{1}=E_{0}\sin\omega t \\ & E_{2}=E_{0}\sin\left( \omega t+\frac{\pi}{3} \right) \end{matrix}.Find the amplitude of the resultant wave.

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