5151

Physics Wave Optics Level: Misc Level

A). Consider a horizontal plane of  thin film with thickness t. This film is located between air and water. The index of refraction of the film is 1.5 and the index of refraction of water is 1.33. The wavelength of incident wave in the air is y and its frequency in air is f =c /y. Find the wavelength of the light in the water. B).The frequency of the light in water will decrease, increase or stay the same?




5150

Physics Properties Of Matter Level: Misc Level

A). The slits in a Young's Interference apparatus are illuminated with monochromatic light of wavelength ~. The third dark band is y from the central axis. The two slits are d apart and the screen is L away from the slits. We want to calculate the wavelength of the light used. what is y in terms of y., d and L ? b). Compute the wavelength in this experiment if y = 12.1 mm, L= 139 cm and d =, 339 mm. Answer in units of m.




5149

Physics Wave Optics Level: Misc Level

Two slits are illuminated by a 479 nm light. The angle between the zeroth order bright band at the center of the screen and the fourth- order bright band is 21.1 degrees. If the screen is 162 cm from the double slit, how far apart is this bright band from  the central peak? Answer in units of cm. B) What is the distance between the two slits? Answer in units of mm.




5147

Physics Ray Optics Level: Misc Level

Two lenses are combined to from a compound lens. One of the lenses has a power of 12.8 D and the other has a power of -5.94 D,Find the focal length of the resulting lens. Answer in units of cm.




5146

Physics Ray Optics Level: Misc Level

A concave mirror has a focal length of 12 cm. What is the position of the resulting image if the image is inverted and 3 times smaller than the object? Answer in units of cm?




5145

Physics Ray Optics Level: Misc Level

A light ray passes downward into a block of transparent plastic with an angle of incidence of 0 = 52. 8 degrees. If total internal reflection is to occur when the light strikes the left edge of the block at interface b, what is the index of refraction of the plastic?




5143

Physics Ray Optics Level: Misc Level

What is the minimum ( non-zero) thickness for the air layer between two flat glass surfaces if the glass is to appear dark when 6.8 E 2- nm light is incident normally?

b. What if the glass is to appear bright?




5142

Physics Wave Optics Level: Misc Level

How many lines per centimeter does a grating have if the third- order occurs at an 16.9 % angle for 5.7 E 2- nm light?

 




5141

Physics Wave Optics Level: Misc Level

In a double slit experiment, it is found that blue light of wavelength 3.6 E2 nm gives a second -order maximum at a certain location on the scren. What wavelength of visible light would have aminimum at the same location?




5140

Physics Ray Optics Level: Misc Level

How far apart are an object and an image formed by a 75- cm focal -length converging lens if the image is 2.0 X larger than the object and is real?




5139

Physics Ray Optics Level: Misc Level

How far from a converging lens with a focal length of 21 cm should an object be placed to produce a real image which is the same size as the object?




5138

Physics Ray Optics Level: Misc Level

A stamp collector uses a converging lens with focal length 26 cm to view a stamp 16 cm in front of the lens. 

(a) Is the image real or virtual?

(b) What is the magnification?




5137

Physics Ray Optics Level: Misc Level

A beam of light is emitted in a pool of water from a depth of 77.0 cm. Where must it strike the air-water interface, relative to the spot directly above it, in  order that light does not exit the water?




5136

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int x^{2}log(1+x)dx




5135

Mathematics Integration Level: Misc Level

Integerate the following by parts by using ILATE.
I = inverse trigonometric
L = logarithmic
A = algebraic
T = trigonometric
E = exponential

\int logxdx


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