Question

1) Two narrow slits are 0.25mm apart. They are illuminated by light from a helium–neon laser with a wavelength of 633nm, and the interference pattern is observed on a screen 49cm from the slits.

(a) What is the angle between the zero-order maximum and one of the first-order images?

(b) What is the distance between the two first-order images?

2) The m=3 maximum is located 3cm from the m=0 image when monochromatic radiation illuminates a double slit. The screen is 19cm from the slits. The slit spacing is d=0.13mm.

(a) What must be the wavelength of the radiation?

(b) What type of radiation is this?

		Ultraviolet
		Infrared
		Visible
		Microwave
		X-ray

3) A double slit is illuminated with light containing wavelengths from 400nm to 650nm. The screen is at a distance of 15cm from the slits. For the 400nm wavelength violet light, it is observed that the m=1 maximum on the screen is at a distance of 0.16cm from the m=0 maximum.

(a) What is the spacing between the slits?

(b) What is the distance from the m=0 to m=1 maxima for the red 650nm wavelength light?

4) A screen is located 84cm from a single slit. The size of the first-order image on the screen is 3mm when monochromatic light of wavelength 497nm is used. The size of the first-order image is defined as the distance from the minimum on one side to the minimum on the other side. What must be the width of the single slit?

5) During a single-slit diffraction experiment, you want the first minimum on either side to be at an angle of 61°. Calculate the required ratio of the slit width to the wavelength of light used.

Please give a numeric answer.

Answer 1