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Homework Help: Mirror Optics

  1. Dec 19, 2007 #1
    1. The problem statement, all variables and given/known data
    There is a sphere of Radius R. A point object is kept at a distance b from it.Now the sphere is halfed about an axis perpendicular line joining the object and centre of the sphere.The planar surface of the hemisphere away from the object is silvered.Find the distance of the image from the sphere?

    2. Relevant equations
    [tex] \frac{\mu_{2}}{v}-\frac{\mu_{1}}{u}=\frac{\mu_{2}-\mu_{1}}{R}[/tex]
    where symbols have their usual meanings
    also silvering means making it a mirror

    3. The attempt at a solution
    Now there are basically three optical surfaces
    the first spherical surface
    then the planar and then the mirror.
    What i did was to apply the formula for 1st surface then find the image which acts as object for second interface then use the found out image as object for mirror .then find the third image(i.e due to mirror) then this acts as an object again for the planar refracting surface .
    then agian find the image and finally use it as an object for the curved surface .But still i am unable to get the answer :confused:
    Last edited: Dec 19, 2007
  2. jcsd
  3. Dec 19, 2007 #2

    Doc Al

    User Avatar

    Staff: Mentor

    I would treat this as two surfaces: The first spherical surface, then the plane mirror.
  4. Dec 19, 2007 #3
    ok let me have a go at that
    but why is that so
  5. Dec 19, 2007 #4
    no that's not working
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