Instructions:

Solve the problems showing all the steps. for the 5 questions

1.) Interference of light:

Light from a narrow slit passes through two parallel slits 0.4 mm apart, and the fringes (bright spots), when measured on a screen 40 cm from the screen, are 0.5 mm apart.

1. Find the wavelength of light.
2. If the screen is now moved to a distance 120 cm from the screen, how far apart the fringes will be?

2.) Single Slit Diffraction:

A plane wave of wavelength 5893x10^-8 cm passes through a slit 0.5 mm wide and forms a diffraction pattern on screen placed on the focal plane of a lens of focal length 1 m. Calculate the separation of the first dark band on either side of the central maxima.

3.) Multiple Slit Diffraction:

A diffraction grating has 2500 lines per centimeter. At what angle will the first-order maximum be for 520-nmwavelength green light?

4.) Single Slit Diffraction

Visible light of wavelength 500 nm falls on a single slit and produces its third diffraction minimum at an angle of 48.6^o relative to the incident direction of the light.

1. What is the width of the slit?
2. At what angle is the first minimum produced?

5.) Polarization:

What angle is needed between the direction of polarized light and the axis of a polarizing filter to reduce its intensity by 80%?