find final position of image
Answers
The refraction of light occurs when light travels from medium of one refractive index to another refractive index .
According to the lens formula for refraction between two surfaces of different refractive index .
=> μ2/v - μ1/u = (μ2-μ1)/R
where,
μ2 = refractive index of air = 1
μ1 = refractive index of glass = 4/3 = 1.3
R = radius of curvature of sphere v = image distance
u = object distance = - 20 cm
=> μ2/v - μ1/u = (μ2-μ1)/R
=> μ2/v - μ1/u = (μ2-μ1)/R
=> 1/v - 1.3/(-20) = (1-1.3)/(-10)=> 1/v = 1.3/10 - 1.3/20
=> 1/v = - 1/40
=> v = - 40 cm
Thus, position of image from centre of sphere
= 40 - 10 = 30 cm.
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