Query 21

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course Phy 242

Only general physics & principles of physics problems, no university physics problems.

021. `Query 19 

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Question: `qPrinciples of Physics and General College Physics Problem 24.54: What is Brewster's angle for an air-glass interface (n = 1.52 for glass)?

 

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Your solution:

 

 

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Given Solution:

 

`aBrewster's angle is the smallest angle theta_p of incidence at which light is completely polarized. This occurs when tan(theta_p) = n2 / n1, where n2 is the index of refraction on the 'other side' of the interface.

 

For an air-glass interface, n1 = 1 so tan( theta_p) = n2 / 1 = n2, the index of refraction of the glass. We get

 

tan(theta_p) = 1.52 so that

theta_p = arcTan(1.52). This is calculated as the inverse tangent of 1.52, using the 2d function-tan combination on a calculator. WE obtain

 

theta_p = 56.7 degrees, approximately.

 

 

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Question: `qgen phy problem 24.44 foil separates one end of two stacked glass plates; 28 lines observed for normal 670 nm light

 

gen phy what is the thickness of the foil?

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Your solution:

 

 

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Given Solution:

 

`aSTUDENT SOLUTION: To solve this problem, I refer to fig. 24-31 in the text book as the problem stated. To determine the thickness of the foil, I considered the foil to be an air gap. I am not sure that this is correct. Therefore, I used the equation 2t=m'lambda, m=(0,1,2,...). THis is where the dark bands occur .

 

lambda is given in the problem as 670nm and m=27, because between 28 dark lines, there are 27 intervals.

 

Solve for t(thickness):

t=1/2(27)(670nm)

=9.05 *10^3nm=9.05 um

 

INSTRUCTOR RESPONSE WITH DIRECT-REASONING SOLUTION:** Your solution looks good. Direct reasoning:

 

** each half-wavelength of separation causes a dark band so there are 27 such intervals, therefore 27 half-wavelengths and the thickness is 27 * 1/2 * 670 nm = 9000 nm (approx) **

 

 

**** gen phy how many wavelengths comprise the thickness of the foil?

GOOD STUDENT SOLUTION: To calculate the number of wavelengths that comprise the thickness of the foil, I use the same equation as above 2t=m'lambda and solve for m.

 

2(9.05 um)=m(6.70 *10^-7m)

Convert all units to meters.

m=27 wavelengths.

 

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