dopher
Jan28-08, 02:43 PM
I'm having trouble getting started with this problem. I know the interference formulas and how it works, but I'm having trouble determining the phase difference (if B and C were in phase i could do it easily, but they aren't, how do I find out the phase they are initially apart?)
|----------|------------|
|----------B------------|
|----------|------------|
|----------C------------|
|----------|------------|
A----------|------------O
|----------|------------|
|----------|------------|
|<---x1-->|<-----x2--->|
Consider the above setup, not drawn to scale.
Light of wavelength λ= 475 nm is shined at normal incidence to the first screen with slit A.
The second screen, x1 = 0.7 meters behind the first screen, has two slits, B and C .
The third screen is x2 = 1.5 meters behind the second screen. It has slit O, which is level with slit A. A lightmeter measures the light intensity at the slit O.
When light is sent through slit A and measured at the slit O with either slit B or slit C open one slit at a time, the intensity at the point O is the same: I0 = 0.5 W/m2. (The slit widths can always be adjusted so that this is true, but for this problem you can/should ignore the width of all slits.)
Slit B is at height y1 = 2 mm above slit A.
Slit C is at height y2 = 1 mm above slit A.
Note that the drawing is not drawn to scale.
a) What is the light intensity measured at the point O when both slits B and C are open?
|----------|------------|
|----------B------------|
|----------|------------|
|----------C------------|
|----------|------------|
A----------|------------O
|----------|------------|
|----------|------------|
|<---x1-->|<-----x2--->|
Consider the above setup, not drawn to scale.
Light of wavelength λ= 475 nm is shined at normal incidence to the first screen with slit A.
The second screen, x1 = 0.7 meters behind the first screen, has two slits, B and C .
The third screen is x2 = 1.5 meters behind the second screen. It has slit O, which is level with slit A. A lightmeter measures the light intensity at the slit O.
When light is sent through slit A and measured at the slit O with either slit B or slit C open one slit at a time, the intensity at the point O is the same: I0 = 0.5 W/m2. (The slit widths can always be adjusted so that this is true, but for this problem you can/should ignore the width of all slits.)
Slit B is at height y1 = 2 mm above slit A.
Slit C is at height y2 = 1 mm above slit A.
Note that the drawing is not drawn to scale.
a) What is the light intensity measured at the point O when both slits B and C are open?