query 18

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course Phy 122

July 1 10:35 pm

If your solution to stated problem does not match the given solution, you should self-critique per instructions at http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm.Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

018. `Query 16

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Question: `qPrinciples of Physics and General College Physics 23.28 A light beam exits the water surface at 66 degrees to vertical. At what angle was it incident from under the water?

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Your solution:

(1.3 index of refraction water)

(1 index of refraction of air)

66 degrees = angle of refraction.

sin (the angle of incidence) / sin ( the angle of refraction)

= 1 / 1.3 = .769

sin (the angle of incidence) = 1.3 * sin (the angle of refraction)

= .769 * sin (66 deg)

= .769 * .9 = .692

angle of incidence = arcSin (.6) = 37 degrees (apprx.)

confidence rating #$&*:

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Given Solution:

`a**** The angle of incidence and the angle of refraction are both measured relative to the normal direction, i.e., to the direction which is perpendicular to the surface. For a horizontal water surface, these angles will therefore be measured relative to the vertical.

66 degrees is therefore the angle of refraction.

Using 1.3 as the index of refraction of water and 1 as the index of refraction of air, we would get

sin(angle of incidence) / sin(angle of refraction) = 1 / 1.3 = .7, very approximately, so that

sin(angle of incidence) = 1.3 * sin(angle of refraction) = .7 * sin(66 deg) = .7 * .9 = .6, very approximately, so that

angle of incidence = arcSin(.6) = 37 degrees, again a very approximate result.

You should of course use a more accurate value for the index of refraction and calculate your results to at least two significant figures.

STUDENT QUESTION

it should be 1/1.333 right? nb is where its going which is air

sin(66)/sin (theta)=1/1.333=.75

INSTRUCTOR RESPONSE

The incident beam is in the water (call this medium a, consistent with your usage), the refracted beam in the air (medium b).

It's sin(theta_a) / sin(theta_b) = n_b / n_a, so

sin(theta_a) = 1 / 1.333 * sin(theta_b) = .7 sin(66 dec) = .6 and

theta_a = 37 degrees.

Again all calculations are very approximate.

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Self-critique (if necessary): ok

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Self-critique Rating: ok

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Question: `qPrinciples of Physics and General College Physics 23.46 What is the power of a 20.5 cm lens? What is the focal length of a -6.25 diopter lens? Are these lenses converging or diverging?

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Your solution:

1 / ( .205 m ) =

4.87 m ^ -1

= 4.87 diopters, this lens is a converging lens

(-6.25 lens power) = focal length 1 / ( -6.25 m ^ -1)

= -.16 m (or -16 cm), diverging lens (because it is negative)

confidence rating #$&*:

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Given Solution:

`aThe power of the 20.5 cm lens is 1 / (.205 meters) = 4.87 m^-1 = 4.87 diopters.

A positive focal length implies a converging lens, so this lens is converging.

A lens with power -6.25 diopters has focal length 1 / (-6.25 m^-1) = -.16 m = -16 cm.

The negative focal length implies a diverging lens.

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Self-critique (if necessary): ok

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Self-critique Rating: ok"

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&#Good responses. Let me know if you have questions. &#