Interference - GRE Subject Test: Physics
Card 0 of 8
A double slit experiment is set up with the following parameters: two slits are a separated by a distance 
. A beam of light with wavelength 
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 double slit experiment is set up with the following parameters: two slits are a separated by a distance
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:
The condition for constructive interference with double slit diffraction is given by:
Where
Solving for the angle and using the small angle approximation, we get;
The distance
Again, with the help of the small angle approximation. Setting the two thetas equal to each other and solving for
For the central band,
Compare your answer with the correct one above
Two waves with frequencies: 
are combined. What is the frequency of the resulting beat?
Two waves with frequencies:
The beat from two combined sound waves is:
The beat from two combined sound waves is:
Compare your answer with the correct one above
A double slit experiment is set up with the following parameters: two slits are a separated by a distance . A beam of light with wavelength 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 double slit experiment is set up with the following parameters: two slits are a separated by a distance
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:
The condition for constructive interference with double slit diffraction is given by:
Where
Solving for the angle and using the small angle approximation, we get;
The distance
Again, with the help of the small angle approximation. Setting the two thetas equal to each other and solving for
For the central band,
Compare your answer with the correct one above
Two waves with frequencies: are combined. What is the frequency of the resulting beat?
Two waves with frequencies:
The beat from two combined sound waves is:
The beat from two combined sound waves is:
Compare your answer with the correct one above
A double slit experiment is set up with the following parameters: two slits are a separated by a distance . A beam of light with wavelength 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 double slit experiment is set up with the following parameters: two slits are a separated by a distance
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:
The condition for constructive interference with double slit diffraction is given by:
Where
Solving for the angle and using the small angle approximation, we get;
The distance
Again, with the help of the small angle approximation. Setting the two thetas equal to each other and solving for
For the central band,
Compare your answer with the correct one above
Two waves with frequencies: are combined. What is the frequency of the resulting beat?
Two waves with frequencies:
The beat from two combined sound waves is:
The beat from two combined sound waves is:
Compare your answer with the correct one above
A double slit experiment is set up with the following parameters: two slits are a separated by a distance . A beam of light with wavelength 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 double slit experiment is set up with the following parameters: two slits are a separated by a distance
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:
The condition for constructive interference with double slit diffraction is given by:
Where
Solving for the angle and using the small angle approximation, we get;
The distance
Again, with the help of the small angle approximation. Setting the two thetas equal to each other and solving for
For the central band,
Compare your answer with the correct one above
Two waves with frequencies: are combined. What is the frequency of the resulting beat?
Two waves with frequencies:
The beat from two combined sound waves is:
The beat from two combined sound waves is:
Compare your answer with the correct one above