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Intensity at a point from its path or phase difference (equal slits)

This type of question, asked 8 times: 30 Jan 2023, 10 Apr 2023, 29 Jan 2024, 1 Feb 2024, 9 Apr 2024, 2 Apr 2026 S2, 6 Apr 2026 S1, 6 Apr 2026 S2. All 8 questions below, oldest first.

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  1. Question 1

    30 Jan 2023

    119
    In a Young's double slit experiment, the intensities at two points, for the path differences λ4\frac{\lambda}{4} and λ3(λ\frac{\lambda}{3}(\lambda being the wavelength of light used) are I1I_{1} and I2I_{2} respectively. If I0I_{0} denotes the intensity produced by each one of the individual slits, then I1+I2I0=________\frac{I_{1}+I_{2}}{I_{0}}= \_\_\_\_\_\_\_\_
  2. Question 2

    10 Apr 2023

    102
    The ratio of intensities at two points PP and QQ on the screen in a Young's double slit experiment where phase difference between two wave of same amplitude are π/3\pi/3 and π/2\pi/2, respectively are

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  3. Question 3

    29 Jan 2024

    100
    In Young's double slit experiment, light from two identical sources are superimposing on a screen. The path difference between the two lights reaching at a point on the screen is 7λ4\frac{7\lambda}{4}. The ratio of intensity of fringe at this point with respect to the maximum intensity of the fringe is:

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  4. Question 4

    1 Feb 2024

    118
    In Young's double slit experiment, monochromatic light of wavelength 5000Å5000\text{Å} is used. The slits are 1.0 mm1.0\text{ }mm apart and screen is placed at 1.0 m1.0\text{ }m away from slits. The distance from the centre of the screen where intensity becomes half of the maximum intensity for the first time is ______ ×10−6 m\times10^{- 6}\text{ }m.
  5. Question 5

    9 Apr 2024

    24
    In a Young's double slit experiment, the intensity at a point is (14)th \left( \frac{1}{4} \right)^{\text{th~}} of the maximum intensity, the minimum distance of the point from the central maximum is______ μm\mu m. (Given: λ=600 nm, d=1.0 mm,D=1.0 m\lambda= 600\text{ }nm,\text{ }d = 1.0\text{ }mm,D = 1.0\text{ }m )
  6. Question 6

    2 Apr 2026 S2

    21
    In a Young's double slit experiment, the intensity at some point on the screen is found to be 34\frac{3}{4} times of the maximum of the interference pattern. The path difference between the interfering waves at this point is λx\frac{\lambda}{x} where λ\lambda is wavelength of the incident light. The value of x is ____\_\_\_\_ .
  7. Question 7

    6 Apr 2026 S1

    11
    In interference experiment the path difference between two interfering waves at a point A on the screen is λ/3\lambda/3, where λ\lambda is the wavelength of these waves, and at another point B the path difference is λ/6\lambda/6. The ratio of intensities at points A and B is ____\_\_\_\_.

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  8. Question 8

    6 Apr 2026 S2

    20
    In a Young double slit experiment, the wavelength of the incident light is 6000Å6000\text{Å}, the separation between slits S1S_{1} and S2S_{2} is 5 cm, the distance between slits plane and screen is 50 cm , as shown in the figure below. If the resultant intensity at P is equal to the intensity due to individual slits, the path difference between interfering waves is ____\_\_\_\_ Å.

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