## Saturday, 6 September 2014

### DIFFRACTION 2 PROBLEMS

DIFFRACTION 2

Where necessary take the velocity of light as = 3x108 ms-1 and the velocity of sound as 330ms-1

1. (a) Draw a diagram to show how the intensity of diffracted light varies with the angle of diffraction for light passing through a single slit.
(b) a single slit is placed vertically on a spectrometer table and monochromatic light passing through it is observed with the telescope. Describe what you see.
(c) what would be observed if white light is used instead

2. A diffraction grating with 600 lines per mm is placed in a beam of monochromatic light. The angle of diffraction for the first order maximum is 25o.
Calculate the wavelength of the light.

3. Explain carefully the effect on the spectrum observed by a plane transmission diffraction grating if the ruled face is presented to the incident light rather than the unruled face.

4. A trumpeter standing inside a narrow doorway plays a note with a frequency of 500 Hz. If the doorway is 0.75 m wide calculate the angle of diffraction for the first minimum of the diffraction pattern produced.

5. How could you tell the difference between a CD and a DVD simply by looking at the diffraction pattern produced by a white light source?

6. Light from a certain fluorescent lamp is found to consist of only two wavelengths, 450 nm and light of a longer wavelength. When the light is passed through a given diffraction grating it is found that the third order for the shorter wavelength has the same diffracted angle as the second order for the longer wavelength. Calculate:
(a) the wavelength of the light with the longer wavelength
(b) the grating spacing if the angle of diffraction in this case is 20o

7. Water waves of wavelength 4m meet a narrow entrance to a harbour. If the entrance is 10m wide calculate the separation between the central maximum and the first minimum on the beach if the distance from the harbour mouth to the beach is 250m.

8. A diffraction grating having 6300 lines per centimetre is set up on the table of a spectrometer and is illumi­nated normally with monochromatic light. Bright images are formed on the cross-wires of the telescope at the following scale settings: 107.6°, 130.0° and 152.4°. Explain this, and calculate the wavelength of the light.