The wavelength of the monochromatic light passing through the two slits is approximately 1333.33 meters.
To find the wavelength of the monochromatic light, we can use the formula for the separation between bright fringes in an interference pattern:
1. Convert the separation between the slits to meters:
separation between slits = 0.015 mm = 0.015 × 10^(-3) m = 1.5 × 10^(-5) m
2. Convert the separation between bright fringes on the screen to meters:
separation between bright fringes = 2.0 cm = 2.0 × 10^(-2) m
3. Use the formula for the wavelength of light in an interference pattern:
wavelength = (separation between bright fringes) / (separation between slits)
wavelength = (2.0 × 10^(-2) m) / (1.5 × 10^(-5) m) = 1333.33 m
Therefore, the wavelength of the monochromatic light is approximately 1333.33 meters.