1. Experiments showed that the speed of light in water is three quarters the speed of light in air.
If light is incident from air into water at an angle of 30o, determine the angle of refraction in
water according to
a) the particle theorist. b) the wave theorist.
2. A type of radiation that warms people when it falls on them has a frequency of 3.75 X 1014 Hz.
If this radiation travels at the speed of light,
a) calculate its wavelength b) what kind of radiation is it.
3. Light falls on a barrier with two slits with a 220 micrometer distance between them. An
interference pattern forms and the distance between the first and seventh nodal lines is 6.0 cm.
If the screen is 3.0 m away from the slits, find the wavelength of the light.
4. Laser light of wavelength 6.328 X 10-7 m falls on slits which are 4.3 X 10-5 m apart. The
resulting interference pattern falls onto a screen 2.5 m away. Determine the separation between
adjacent nodal lines in the pattern.
5. The distance between the first and seventh nodal points in an interference patter produced on a
screen 3.0 m away is 6.0 cm. The pattern is produced by passing light through two slits.
a) If the distance between slits is 2.20 X 10-4 m, calculate the wavelength of the light.
b) State the color of the light.
6. When light of wavelength 6.00 X 10-7 m moves through two slits, the distance between the first
and tenth nodal lines is 5.0 cm on a screen 3.0 m away. Determine the slit separation.
7. A screen 1.5 m away from double parallel slits, has an interference patter on it. The 1st and
11th nodal lines are 2.0 cm apart
a) If the light used has a wavelength of 6.0 X 10-7 m, find the slits separation.
b) If light of wavelength 4.5 X 10-7 m were used, what would be the distance between
adjacent nodal lines on the screen?
8. Determine the wavelength of the light which has a frequency of 3.8 X 1015 Hz.
9. Red light with a wavelength of 6.5 X 10-7 m is incident on the boundary between air and a
solvent. If the relative index of refraction is 1.47, and the angle of incidence is 40o, calculate
a) the wavelength of the light.
b) the angle of refraction in the solvent.
10. A screen is 80 cm away from two slits which are 0.12 mm apart. The third anti nodal line is
9.0 mm from the central anti nodal line. What wavelength of light is used? What is the color of
the light?
11. For a single slit of width 2.0 X 10-6 m, determine the angle to the second minimum produced
by light of wavelength 7.50 X 10-7 m.
12. A single slit of width 4.3 X 10-5 m allows light with wavelength 6.328 X 10-7 m to pass through
it. A pattern forms on a screen 3.0 m away. Other than for the central maximum, what is the
separation between adjacent minima in the pattern?
13. Light with wavelength 5.89 X 10-7 m passes through a single slit of width 1.10 X 10-3 cm.
The resulting interference falls on a screen 2.00 m from the slit. What is the location of the first
and second minimums in the interference pattern.
14. Calculate the angular width of the central maximum produced by light of wavelength
6.00 X 10-7 m which passes through a slit of width 1.5 X 10-5 m.
15. The central maximum on a screen 2.0 m away from a single slit is 8.0 cm wide. If the light
used has a wavelength of 6.40 X 10-7 m, what is the slit width?
16. Calculate the distance between openings in a diffraction grating when the angle to the third
anti nodal line is 22.0o. The light being used has a wavelength of 6.50 X 10-7 m. Also,
determine the number of openings per cm on this diffraction grating.
17. A screen is 4.00m away from a diffraction grating with 1000 slits/cm. If light of wavelength
4.80 X 10-7 m passes through the grating and falls on the screen, what is the separation
between the anti nodal lines.
November 22, 2013