Geometrical OpticsHard

Question

A spherical surface of radius of curvature R, separate air (refrective index 1.0) from the glass (refrective index 1.5). The centre of curvature is in the glass. A point object P placed in air is found to have a real image Q in the glass . The line PQ cuts the the surface at a point O and PO = OQ. The distance PQ is equal to

Options

A.5 R
B.3 R
C.2 R
D.1.5 R

Solution

Let us say PO = OQ = X
Applying    
Substituting the values with sing
      
(Distance are measured from O and are taken positive in the direction of ray of light)
∴           ∴ X = 5R

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