Answer :
Final answer:
The wavelength of light that produces its first minimum at an angle of 36.9° for a single slit of width 1.00 μm is approximately 600 nm.
Explanation:
To calculate the wavelength of light that produces its first minimum at an angle of 36.9 degrees when falling on a single slit of width 1.00 micrometers, we can use the formula for single slit diffraction:
wavelength = (width of slit) * sin(angle)
Plugging in the values, we have:
wavelength = (1.00 μm) * sin(36.9°)
Calculating this, we find that the wavelength of the light is approximately 600 nm.