In a lab,two pieces of cellphane tape are placed on a lab table. They are quickly ripped off the lab table. Which would you pred
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Answer:
Explanation:
In the double-slit interference, light passes through a double slit and produce a pattern of alternating bright and dark fringes on a distant screen. This pattern is due to the combined effect of the diffraction of each slit + the interference of the light coming from the two slits.
The condition to observe a maximum (bright fringe), so costructive interference, in the distant screen, is:
where:
y is the distance of the m-th maximum from the central fringe
is the wavelength of the light used
D is the distance of the screen from the slits
d is the separation between the slits
In this problem, we know that:
is the wavelength of light used
is the distance of the screen
is the distance of the first maximum (first-order bright fringe) from the central pattern, so when
m = 1
Solving for d, we find the separation of the slits:
The first dark fringe on the screen instead is given by the formula
where
is the wavelength of the new light
Here we want the first dark fringe of the new light to be coincident to the first bright fringe of the previous light, so
Therefore, solving for ,