Question

In: Physics

is it possible to explain to me the one slit interference and two slit interference as...

is it possible to explain to me the one slit interference and two slit interference as well as their applications?

formulae

Solutions

Expert Solution

Single slit interference is confusing. we know that the interference happens between two waves so, what would be the source of two waves in the single slit interference. Well, we also know that every wavefront is a source for secondary wave, so if there is a single hole / slit of width "W" then all the points on the wave falling in that width is a source of secondary waves and these can interfere constructively or destructively .

Now consider the case of double slit interference, in which a parallel beam of incident monochromatic (containing a specific wavelength) light from the left strikes a screen with two slits, S1 and S2 , as below.

With L >> d ,  that two bright spots would be observed on the right hand screen immediately opposite S1 and S2 . The rest of this screen would be in shadow. What is actually observed on the right hand screen is an "interference pattern" as indicated below,

In both the cases the interference is really difference, in single slit we see fading maxima and minima with increasing y. which in double slit the maxima and minima are of same amplitude throughout.

In our daily lives the phenomenon of light-wave interference with oily or filmy surfaces has the effect of filtering light, and this, thus, has a number of applications in areas relating to optics: sunglasses, lenses for cameras, and visors.


Related Solutions

Draw the interference pattern for a double-slit interference situation on a screen. Label the constructive and...
Draw the interference pattern for a double-slit interference situation on a screen. Label the constructive and destructive interference regions clearly with words and show the representation clearly. Indicate where the central maximum is. If a pane of glass is inserted in the gap between the slits and screen, what is the effect on the interference pattern? Draw the new pattern next to the original and explain any changes in the positionings of the pattern. Use words to explain as well...
Explain the concept of Interference of Light Waves for double slit problems to a grade 12...
Explain the concept of Interference of Light Waves for double slit problems to a grade 12 classmate who was absent from class. Use visual aids and examples.
a. Give the derivation for the condition for two-slit interference. Make sure you use words and...
a. Give the derivation for the condition for two-slit interference. Make sure you use words and a diagram to communicate the derivation. b. Based on previous measurements, the lines are at 589.592 nm and 588.995 nm. The diffraction grating is the same one you used in class, 600 lines per millimeter. You shine it on an inexpensive camera like the one in your phone where the pixels are 1.7 nm apart. To make your measurement, you want to choose the...
How does the single-slit diffraction pattern look in comparison to the double-slit interference pattern? Is it...
How does the single-slit diffraction pattern look in comparison to the double-slit interference pattern? Is it possible to have a double-slit pattern without the single-slit pattern overlaid?
In a double slit interference measurement,the 2nd diffraction minimum coincides with the m=9 interference maximum. Light...
In a double slit interference measurement,the 2nd diffraction minimum coincides with the m=9 interference maximum. Light 530nm in wavelength is used, and the distance between the slits and the screen in 1.1m, the slit width is 4μm. (a) How many full interference bright fringes can you see within the main diffraction envelope. (b) Find the slit separation? (c) What is the inter-fringe distance? (d) One of the slits is covered with a thin piece of transparent materia lof index of...
If you were shown three different interference patterns (double slit, single slit, and diffraction grating), how...
If you were shown three different interference patterns (double slit, single slit, and diffraction grating), how could you tell the difference between them? Newton thought that light wasn't a wave because he couldn't see diffraction or interference. Imagine you are transported back in time to convince him otherwise. Write a 1-2 paragraph explanation for Newton explaining why he does not see these features despite the wave nature of light.
In a double-slit interference experiment you are asked to use laser light of different wavelengths and...
In a double-slit interference experiment you are asked to use laser light of different wavelengths and determine the separation between adjacent maxima. You observe that this separation is greatest when you illuminate the double slit with In a double-slit interference experiment you are asked to use laser light of different wavelengths and determine the separation between adjacent maxima. You observe that this separation is greatest when you illuminate the double slit with: 1. yellow light. 2. red light. 3. blue...
For multiple slit interference (a pair of slits instead of double slits): 1) Does the distance...
For multiple slit interference (a pair of slits instead of double slits): 1) Does the distance between maxima change when you change the slit width? 2) How does the distance to the first maximum of the diffraction envelope change with slit widths? 3) Predict what would happen if we used white light (light with all wavelength) instead of just a monochromatic (one wavelength) light source?
(1A) Light of wavelength 534.0 nm illuminates a double slit, and the interference pattern is observed...
(1A) Light of wavelength 534.0 nm illuminates a double slit, and the interference pattern is observed on a screen. At the position of the m = 82.0 bright fringe, how much farther is it to the more distant slit than to the nearer slit? (1B) Light from a sodium lamp of wavelength 446.0 nm illuminates two narrow slits. The fringe spacing on a screen 137.8 cm behind the slits is 6.21 mm. What is the spacing between the two slits?...
1) The 3rd bright fringe of a double slit interference pattern is 30.0 cm above the...
1) The 3rd bright fringe of a double slit interference pattern is 30.0 cm above the central bright fringe. If the angle from the horizontal to this 3rd bright fringe is 12.0 degrees, what is the distance (in meters) between the double slits and the viewing screen? 2) A 500 nm laser illuminates a double slit apparatus with a slit separation distance of 7.73 μm. What is the angle (in degrees) from the horizontal to the 4th bright fringe? 3)A...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT