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Mirrors, Polaroid Films, Light/Wavelength help needed

  1. Apr 18, 2013 #1
    :(:(:( Please ease my aching soul by helping me with this...
    I submitted this assignment online and I don't know the answers yet or however many I got wrong.

    Number2-2_zps32ccd6b8.png

    I chose 45 because I know unpolarized light becomes this after going through a polarizer:
    LCfig1.jpg

    That single line is 180º, so I did 0.25 x 180º = 45º.
    Is E the right answer?

    Number3-4_zps647d385c.png


    I chose E…but after seeing this diagram below just now, I think I got the answer wrong and that it's supposed to be B… Is E not the answer?

    2fa55e0b-7598-4903-95f6-b3406b83c9d5.gif

    Number5-1_zpsce573a17.png

    I chose D…but I don't think it's right…
    I did this:

    Given:
    R = 10 cm
    f = -R/2 (since it's convex) = -10/2 = -5
    do = ?
    M = +4 x (image is upright)
    di = -? (image is virtual)

    M = -di/do
    4 = -di/do
    di = -4do

    1/f = 1/do + 1/di
    1/(-5) = 1/do + 1/(-4do)
    -0.2 = 1/do - 1/4do
    -0.2 = (4/4)1/do - (1/1)1/4do
    -0.2 = (4 - 1)/4do
    -0.2 = 3/4do
    4do = 3/(-0.2)
    4do = -0.6
    do = -0.6/4
    do = -0.15

    Is the answer C? (I chose D originally and I can't change my answer….but now that i've worked it out step by step i think the answer is C)
     
  2. jcsd
  3. Apr 18, 2013 #2

    mfb

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    It is not, and there is no reason to multiply 180° by anything. Using the same argument, 90° would let 50% pass through, which is obviously wrong.

    You can analyze this with polarization vectors and projetions on the polarization axis, or with existing formulas (Wikipedia, book, ...).

    Your result is very small (0.15 cm), there has to be some error in the calculation. I found one here:
     
  4. Apr 18, 2013 #3
    So basically all three of them are wrong?
     
  5. Apr 18, 2013 #4
    Also, what about question number 3?
     
  6. Apr 18, 2013 #5
    :( :(
     
  7. Apr 19, 2013 #6

    mfb

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    Take a spoon and test it.
    The graph below is not a concave mirror.
     
  8. Apr 19, 2013 #7
    Ok but my answer is still wrong though...
    The answer for 3 would have to be D.
     
  9. Apr 19, 2013 #8

    mfb

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    Did you take the right ("inner") side of the spoon?
     
  10. Apr 19, 2013 #9
    Think about which side of the concave surface the image lies in.

    If it lies on the left (the same side as where the object resides), it is real. If on the right, then the image is virtual. The focal equation is based on the reference of the surface of the mirror. Positive distance means real and negative distance means virtual.
     
  11. Apr 20, 2013 #10
    What do you mean?
     
  12. Apr 20, 2013 #11

    mfb

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    I don't know what is unclear about that question.
    Like this, but with an object closer to the mirror.
     
  13. Apr 20, 2013 #12
    So the answer IS E.
    real (image on front), enlarged, inverted.
     
  14. Apr 20, 2013 #13
    Not for an object lying inside of the focal point.

    Why don't you try drawing out a a simple ray diagram?
     
  15. Apr 20, 2013 #14

    mfb

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    I did not find an image of an object closer to the focal point. The inversion is not there in your problem.
     
  16. Apr 20, 2013 #15
    I forgot how to because I did this back in high school and my teacher (in college) just gave us a simple chart to follow and didn't emphasize the fact that we had to draw a ray diagram. :(
     
    Last edited: Apr 20, 2013
  17. Apr 20, 2013 #16
    The answer has to be B then...

    Ok well since I know I got those top 3 questions wrong...I wouldn't mind moving on to the other questions I wouldn't mind you guys checking for me...

    Number5-1_zpsce573a17.png

    I chose D…but I don't think it's right…
    I did this:

    Given:
    R = 10 cm
    f = -R/2 (since it's convex) = -10/2 = -5
    do = ?
    M = +4 x (image is upright)
    di = -? (image is virtual)

    ____________________________

    M = -di/do
    4 = -di/do
    di = -4do

    ____________________________

    1/f = 1/do + 1/di
    1/(-5) = 1/do + 1/(-4do)
    -0.2 = 1/do - 1/4do
    -0.2 = (4/4)1/do - (1/1)1/4do
    -0.2 = (4 - 1)/4do
    -0.2 = 3/4do
    4do = 3/(-0.2)
    4do = -0.6
    do = -0.6/4
    do = -0.15

    Is the answer C? (I chose D originally and I can't change my answer….but now that i've worked it out step by step i think the answer is C)
     
  18. Apr 20, 2013 #17
    Your magnification is wrong. It's 4x smaller, which means ##\frac{d_i}{d_o}## should be less than one since ##\frac{h_i}{h_o}## is reduced.
     
  19. Apr 20, 2013 #18
    Oh goodness...
    So what should M equal?
     
  20. Apr 21, 2013 #19
    Well, it's 4x smaller so what do you think?

    I'm sure you can figure this out. Other than that there seems to be nothing else wrong with your calculations.
     
  21. Apr 21, 2013 #20

    mfb

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    Well, there is a calculation error in the first post, I mentioned it in post 2:
     
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