Draw a graph to show the variation with angle of the intensity of light observed on a screen some distance from two very narrow, parallel slits when coherent monochromatic light falls on the slits.

Describe how the graph you drew in a change when:

i. The number of slits increases but their separation stays the same.

Describe how the graph you drew in a change when:

ii The number of slits stays at two but their separation decreases.

The headlight of a car is separated by a distance of $1.4\mathrm{m}$.

a. Estimate the distance these would be resolved as two separated sources by a lens of the diameter of $5\mathrm{cm}$ with a wavelength of $500\mathrm{nm}$.

b. Discuss the effect, if any, of decreasing the wavelength on the distance in a.

Assume that the pupil of the human eye has a diameter of $4.00\mathrm{mm}$ and receives the light of wavelengths $5.0\times {10}^{-7}\mathrm{m}$.

a. Calculate the smallest angular separation that can be resolved by the eye at this wavelength.

Assume that the pupil of the human eye has a diameter of $4.00\mathrm{mm}$ and receives the light of wavelengths $5.0\times {10}^{-7}\mathrm{m}$.

b. Estimate the least distance between features on the Moon (a distance of $3.8\times {10}^8 \mathrm{m}$away) that can be resolved by the human eye.

The Jodrell Bank radio telescope in Cheshire, UK, has a diameter of $76\mathrm{m}$. Assume that it receives the electromagnetic waves of wavelength $21\mathrm{cm}$.

a. Calculate the smallest angular separation that can be resolved by this telescope.