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Locate the image of the point object O i...

Locate the image of the point object O in the situtaion shown. The point C denotes the centre of curvature of the separating surface.

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Give: u = - 15 cm, R = 30 cm, `n_(1) = 1 and n_(2)` = 1.5 Equation for single spherical surface is `(n_(2))/(v)-(n_(3))/(u)=((n_(2)-n_(1))/(R))`
Substituing the vlues, `(1.5)/(v)-(1)/(-15)=((1.5-1))/(30):(1.5)/(v)+(1)/(15)=(0.5)/(30)`
`(1.5)/(v)+(1)/(15)=(1)/(60)(1.5)/(v)=(1)/(60)-(1)/(15),`
`(1.5)/(v)=(1-4)/(60)=(-3)/(60),=-(1)/(20)`
The image is a virtual image formed 30 cm to the spherical surface.
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