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Consider the interference/ diffraction pattern from a three-slit arrangement as shown. Take d=3.5a. The wavelength of the monochromatic light incident upon the slits is ?=0.5a. The amplitude of the electromagnetic wave hitting the middle slits is half as much as those hitting the other two slits.
a. Derive an expression for the intensity I as a function of θ and other relevant parameters. Express the answer in terms of I?,the maximum intensity on the screen. Making sure to include the effects of both interference and diffraction.
b. At what angle θ1 is the first diffraction minimum away from the center of the screen?
c. How many interference maxima are present within the central diffraction peak?(Do not count the "clipped" maxima, if any)
A film of soapy water (n = 1.33) on top of a sheet of crown glass has a thickness of 220 nm. What wavelength is most strongly reflected if it is illuminated perpendicular to its surface? (This is the apparent color of the soapy film.)
You wish to reduce the intensity of a beam of 1-MeV gamma rays from 5.12 x 10^7 per second to 2 x 10^5 per second. What thickness of aluminum is required
Enter question here...A 100g on object is suspended from a spring. When 40 g are added the soring stretches an additional 5.0 cm. What is the angular frequency and period of the oscillations
For a demonstration, a professor uses a razor blade to cut a thin slit in a piece of aluminium foil. When she shines a laser pointer (?=680nm) during the slit onto a screen 5.5m away, a diffraction pattern appears. The bright band in the center of th..
In a double-slit experiment, two parallel slits are illuminated first by light of wavelength 474 nanometer, Evaluate what is the unknown wavelength
A positive point charge Q1 = 2.8×10?5C is fixed at the origin of coordinates, and a negative charge Q2 = ?5.5×10?6C is fixed to the xaxis at x=+1.5m. Find the location of the place(s) along the x axis
A 868 kg automobile is sliding on an icy street. It collides with a parked car which has a mass of 663 kg. The two cars lock up and slide together with a speed of 22.9 km/h. What was the speed of the first car just before the collision?
Two small nonconducting spheres have a total charge of 90.7?C. When placed 1.06 m apart, the force each exerts on the other is 10.6 N, What is the smaller charge on the sphere
An electron is released from rest in a uniform electric field ofmagnitude 2.35 x 104 N/C. Calculate the acceleration ofthe electron. (Ignore gravitation.)
Two charges A and B are fixed in place, at different distances from a certain spot. At this spot the potentials due to the two charges are equal, Calculate the ratio qB/qA of the charges
When two point charges are a distance R apart, their potential energy is -2.00 J. How far (in terms of R) should they be from each other
While john is travelling along an interstate highway, he notices a 160 mile marker as he passes through town. Later John passes another mile marker, 119.
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