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First dark fringe directly in front of one slit: find the wavelength or slit separation

The same question, asked 2 times: 27 Jun 2022*, 29 Jan 2023. Every wording below, oldest first.

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  1. Question 1

    27 Jun 2022

    23
    In Young's double slit experiment the two slits are 0.6 mm0.6\text{ }mm distance apart. Interference pattern is observed on a screen at a distance 80 cm80\text{ }cm from the slits. The first dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light will be ____\_\_\_\_ nmnm.

  2. Question 2

    29 Jan 2023

    18
    In a Young's double slit experiment, two slits are illuminated with a light of wavelength 800 nm800\text{ }nm. The line joining A1PA_{1}P is perpendicular to A1A2A_{1}A_{2} as shown in the figure. If the first minimum is detected at PP, the value of slits separation 'a' will be: The distance of screen from slits D=5 cmD = 5\text{ }cm

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