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. 1a) Which of these equations tells you the location of the peaks (bright lines

ID: 1466948 • Letter: #

Question

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1a) Which of these equations tells you the location of the peaks (bright lines) in the diffraction pattern?

A) 17.16
B) 17.20
C) 17.18
D) There is no equation given for the locations of the bright lines
E) 17.19
F) 17.17

1b) If you double the wavelength, what happens to the separation of the diffraction pattern? If you double the slit width, what happens to the separation of the diffraction pattern?

A) Double : halve separation; double slit width: no change in separation
B) Double : double separation; double slit width: no change in separation
C) Double : double separation; double slit width: double separation
D) Double : halve separation; double slit width: double separation
E) Double : halve separation; double slit width: halve separation
F) Double : double separation; double slit width: halve separation

1c)Rayleigh's criterion says that two objects are just barely resolved when

A) their diffraction patterns are completely separated
B) the objects have no diffraction patterns
C) the diffraction patterns are partially separated
D) their diffraction patterns have completely overlapped

1d)The smallest detail observable is of order:

A) the wavelength of light used to observe it
B) the focal length of the lens used
C) the frequency of light used to observe it
D) the diameter of the lens (or aperture) used

Explanation / Answer

seperation of the diffraction pattern = order * wavelenrth * distance of screen / slit wifth

so,

wavelength is directly proportional to seperation of the differaction pattern so,

Double ?: double separation

slit width is inversely proportional to seperation of the differaction pattern so,

double slit width: halve separation

Rayleigh's criterion says that two objects are just barely resolved when the diffraction patterns are partially separated

The smallest detail observable is of order the frequency of light used to observe it