Question

Calculate the wavelength of light that produces its first minimum at an angle of 36.9º when falling on a single slit of width 1.00μm.

a) 400 nm
b) 500 nm
c) 600 nm
d) 700 nm

Answer 1

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.

Step-by-step 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.