1.

Light from a point source in air falls on a convex spherical glass surface `(mu = 1.5 and R = 20 cm)`. Calculate position of the image when the light source is at `1m` from the glass surface.

Answer» Here, `mu_(1) = 1` (for air), `mu_(2) = 1.5` (for glass), `R = + 20 cm, u =-m = -100 cm, v = ?`
As refraction occurs from rarer to denser medium, therefore
`-(mu_(1))/(u) + (mu_(2))/(v) = (mu_(2) - mu_(1))/(R )`
`-(1)/(-100) + (1.5)/(v) = (1.5 - 1)/(20) = (1)/(40)`
`(3)/(2v) = (1)/(40) - (1)/(100) = (5 - 2)/(200) = (3)/(200)`
`v = 100 cm`
`:.` Image is formed at `100 cm` from the pole of the surface in the direction of incidence of light.


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