Young’s double slit experiment gave definitive proof of the wave character of light.
An interference pattern is obtained by the superposition of light from two slits.
There is constructive interference when
, where
is the distance between the slits,
is the angle relative to the incident direction, and
is the order of the interference.
There is destructive interference when
.
Conceptual questions
Young’s double slit experiment breaks a single light beam into two sources. Would the same pattern be obtained for two independent sources of light, such as the headlights of a distant car? Explain.
Suppose you use the same double slit to perform Young’s double slit experiment in air and then repeat the experiment in water. Do the angles to the same parts of the interference pattern get larger or smaller? Does the color of the light change? Explain.
[link] shows the central part of the interference pattern for a pure wavelength of red light projected onto a double slit. The pattern is actually a combination of single slit and double slit interference. Note that the bright spots are evenly spaced. Is this a double slit or single slit characteristic? Note that some of the bright spots are dim on either side of the center. Is this a single slit or double slit characteristic? Which is smaller, the slit width or the separation between slits? Explain your responses.
Calculate the wavelength of light that has its third minimum at an angle of
when falling on double slits separated by
. Explicitly, show how you follow the steps in
Problem-Solving Strategies for Wave Optics .
Find the largest wavelength of light falling on double slits separated by
for which there is a first-order maximum. Is this in the visible part of the spectrum?
(a) If the first-order maximum for pure-wavelength light falling on a double slit is at an angle of
, at what angle is the second-order maximum? (b) What is the angle of the first minimum? (c) What is the highest-order maximum possible here?
[link] shows a double slit located a distance
from a screen, with the distance from the center of the screen given by
. When the distance
between the slits is relatively large, there will be numerous bright spots, called fringes. Show that, for small angles (where
, with
in radians), the distance between fringes is given by
.
Using the result of the problem above, calculate the distance between fringes for 633-nm light falling on double slits separated by 0.0800 mm, located 3.00 m from a screen as in
[link] .
Using the result of the problem two problems prior, find the wavelength of light that produces fringes 7.50 mm apart on a screen 2.00 m from double slits separated by 0.120 mm (see
[link] ).
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The term pathogen came into use in the 1880s.[1][2
Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
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