All GRE Subject Test: Physics Resources
Example Questions
Example Question #1 : Interference
A double slit experiment is set up with the following parameters: two slits are a separated by a distance shines through the two slits, and is projected onto a screen a distance from the slits. What is the distance on the screen between the central band and the next band on either side? (This distance is marked ' ' on the figure).
. A beam of light with wavelength
Possible Answers:
Correct answer:
Explanation:
The condition for constructive interference with double slit diffraction is given by:
Where
is 0, 1, 2, ...Solving for the angle and using the small angle approximation, we get;
The distance
in the diagram can be related to the other quantities by simple geometry:
Again, with the help of the small angle approximation. Setting the two thetas equal to each other and solving for
, we get:
For the central band,
, so the position is also zero. The next band, , yields a distance of:
Example Question #1 : Interference
Two waves with frequencies:
are combined. What is the frequency of the resulting beat?
Possible Answers:
Correct answer:
Explanation:
The beat from two combined sound waves is:
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All GRE Subject Test: Physics Resources
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