#1. The wavelength of a certain light in air is 688 nm. Determine the frequency

Question

#1. The wavelength of a certain light in air is 688 nm. Determine the frequency of this light. Give your answer in the form "a.bc x 10^(y) THz". (Note THz means Tera-Hertz)

Question 2

#2. For the light in Problem #1, what is the wavelength in a sugar solution which has an index of refraction equal to 1.38? Give your answer in the form "abc nm".

Question 3

#3. Using the results of Questions #1 and #2 above, determine the speed of the light in the sugar solution. Give your answer in the form "a.bc x 10^(y) m/s".

Question 4

#4. Monochromatic light of wavelength 755 nm illuminates two parallel, narrow slits 6.22 micro-meters apart. Calculate the angular deviation (in radians) of the third-order (m = 3) bright fringe. Give your answer in the form "a.bc x 10^(y)" radians.

Question 5

#5. From the information in Question #4 above, give the angular deviation in degrees. Give your answer in the form "a.bc x 10^(y)" degrees.

Question 6

#6. Three electromagnetic waves travel through a certain point P along the x axis. They are polarized parallel to the y axis, with the following variations in their amplitudes.

E1 = (15 microvolts/meter) sin[(2.87 x 109 rad/s)t]

E2 = (23 microvolts/meter) sin[(2.87 x 109 rad/s)t] + 30 degrees]

E3 = (35 microvolts/meter) sin[(2.87 x 109 rad/s)t] - 45 degrees]

Give the magnitude of the resultant in the form "a.bc x 10^(y)" microvolts/meter.

Question 7

#7. For the previous Question determine the value of the angle phi in the resulting Electromagnetic field E = A sin (wt + phi). Note that A is the magnitude from the previous Question. Give your answer for phi in the form "+/-ab.c" degrees.

Question 8

#8. A 600 nm thick soap film (n = 1.40) in air (i.e., air is on either side of the film) is illuminated with white light in a direction perpendicular to the film. For how many different wavelengths in the 400 - 700 nm range is there fully constructive interference? Give your answer in the form "a".

Question 9

#9. A thin film of acetone (n = 1.25) coats a thick glass plate (n = 1.50). White light is incident normal to the film. In the reflections, fully destructive interference occurs at 600 nm and the adjacent fully constructive interference is at 700 nm. Calculate the thickness of the acetone film. Give your answer in the form "a.bc" micrometers.

Answer

Explanation / Answer

9.Lambda(o) = n*Lambda = 2ne / m e = thickness of the acetone film : Lamba(o) =600*10^-9 / 1.25= 480*10^-9 meters 480*10^-9 = 2*e e =240 nm e = 240000 um For the destructive interference : 2e = ( 1 +1/2)*(700*10^-9 / 1.25) e = 420 nm e = 420000 um

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