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anonymous

  • one year ago

A 2.4 cm object is 15.0 cm to the left of a convex lens with a focal length of +5.0 cm. Part 1: Draw a ray diagram of the setup showing the location of the image. Part 2: Calculate the distance of the image from the lens. Part 3: What size is the image and is it upright or inverted?

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  1. Michele_Laino
    • one year ago
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    here is the drawing of your problem: |dw:1434906888314:dw|

  2. anonymous
    • one year ago
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    whoahh okie!! :)

  3. Michele_Laino
    • one year ago
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    here we have to apply this formula: \[\Large \frac{1}{p} + \frac{1}{q} = \frac{1}{f}\] where p= 15 cm f= 5 cm please solve for q

  4. anonymous
    • one year ago
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    ok! 1/15 + 1/q = 1/5 1/q = 3 q=1/3 ?

  5. Michele_Laino
    • one year ago
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    we have: \[\Large q = \frac{{fp}}{{p - f}} = \frac{{5 \times 15}}{{15 - 5}} = ...cm\]

  6. anonymous
    • one year ago
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    ohh oops so we get 75 / 10 = 7.5 cm ?

  7. Michele_Laino
    • one year ago
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    that's right!

  8. Michele_Laino
    • one year ago
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    now, from my drawing, we get that the image is inverted

  9. anonymous
    • one year ago
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    okay! so part 2 is that it is 7.5 cm away from the lens? and part 3 is that it is inverted?

  10. Michele_Laino
    • one year ago
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    yes! nevertheless we have to determine the dimension of the image

  11. anonymous
    • one year ago
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    yes! we have to calculate the size, too.. how do we do that?

  12. Michele_Laino
    • one year ago
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    we can use the similarity property of these triangles: |dw:1434907503742:dw|

  13. anonymous
    • one year ago
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    ok!

  14. Michele_Laino
    • one year ago
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    so we can write this proportion: \[\Large 2.4:15 = x:7.5\]

  15. Michele_Laino
    • one year ago
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    or, applying the fundamental property of proportion: \[\Large x = \frac{{2.4 \times 7.5}}{{15}} = ...cm\]

  16. anonymous
    • one year ago
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    we get 1.2 cm? that is the size of the image?

  17. Michele_Laino
    • one year ago
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    yes! correct!

  18. anonymous
    • one year ago
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    yay! so we are finished with this? :O

  19. Michele_Laino
    • one year ago
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    yes! we have finished! :)

  20. anonymous
    • one year ago
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    yay!! okay, onto the last one!!:) thank you1!

  21. Michele_Laino
    • one year ago
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    ok! :)

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