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physics

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the magnification caused by a convex lens is represented by Hi/Ho, where hi is the height of the image and ho is the height of the object. Using that ratio, show that the magnification caused by a convex lens is equal to di/do(ratio of the image distance to the object distance.

  • physics -

    From similar triangles:
    Hi/di =Ho/do
    => Hi/Ho=di/do =M

  • physics -

    fairly simple
    M=hi/ho
    also M=-di/do

    therefore

    M=hi/ho
    -di/do=hi/ho
    hi/ho=hi/ho

  • physics -

    error:
    fairly simple
    M=hi/ho
    also M=-di/do

    therefore

    M=hi/ho
    -di/do=hi/ho
    hi/ho=-di/do

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