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An object of height 1mm is placed inside...

An object of height 1mm is placed inside a sphere of refractive index `mu=2` and radius of curvature 20 cm as shown in the figure. Find the position, size, and nature of image, for the situation shown in Figure. Draw ray diagram.

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For refraction near point A,` u=-30,R=-20,n_(1)=2,n_(2)=1`.
Applying refractive formula,
`(n_(2))/(v)-(n_(1))/(u)=(n_(2)-n_(1))/(R)rArr(1)/(v)-(2)/(-30)=(1-2)/(-20)`
`v=-60cm`
`m=(h_(2))/(h_(1))=(n_(1)v)/(n_(2)u)=(2(-60))/(1(-30))=4`
`:. h_(2)=4mm`
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