Your science teacher asks you to generate a circular diffraction pattern using coherent light of wavelength 486 nm and a circular aperture of radius 0.051 mm. The width of the central maximum on the screen should be 5.5 mm. What is the necessary distance between the aperture and the screen to obtain this diffraction pattern?

A monochromatic beam of wavelength 532 nm is incident on a circular hole. When a whiteboard serving as the viewing screen is positioned 2.5 m behind the hole, a circular diffraction pattern is observed with a central maximum width of 1.8 cm. Determine the radius of the hole.

An astronomer uses a telescope with a magnification of 31x and has an objective lens with a radius of 11 cm. To ensure he captures all the light rays from a distant star directly along the telescope's optical axis, what should be the minimum diameter value of the eyepiece's lens?

A monochromatic beam of light with a wavelength of λ is incident on a single slit. The width of the slit is 150λ. The diffraction pattern is observed on a screen placed 3.25 m away from the slit. Calculate the width of the central maximum in the resulting diffraction pattern.

In an experimental setup, a beam of light from an argon-ion laser with a wavelength of λ = 488 nm is directed through a narrow slit of width 0.23 mm. The graph of the intensity of the resulting diffraction pattern on the screen is shown below. Calculate the distance between the screen and the slit.

Monochromatic light of wavelength 678 nm falls on a narrow slit and then passes through a lens with a focal length of 70.0 cm. Determine the slit width if the distance between the first-order minima from the center of the screen is 7.55 mm.

A long narrow aperture of width 200 μm is used to diffract monochromatic plane waves of wavelength 514 nm. A diffraction pattern is observed on a screen parallel to the slit and 4.00 m from it. The maximum intensity at the central bright fringe is 1.25 × 10^-6 W/m². Determine the expected intensity on the screen where the angle of diffraction θ is 1.5°.