Question

find final position of image​

Answer 1

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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