A smell object `Q` of length `Q` of length `1mm` leis along the principle axis of a spherical glass of radius `R = 10cm` and refreactive index `3//2`. The object is seen from air along the principle axis form left. The distance of object from teh centre `P` is `5cm`. Find the size of image is it real, inverted?

Answer

`8//3 mm`, virtual at `v = -20`, no inversion

Explanation

`(n_(2))/(v) - (n_(1))/(u) = (n_(2) - n_(1))/(R), (1)/(v) - (3)/(2xx(-15)) = (1-3//2)/(-10)`
`(1)/(v) + (1)/(10) = (-1)/(10) rARr v = -20cm` (virtual)
`- (n_(2))/(v^(2)) dv + (n_(1))/(u^(2)) du = 0, (1)/(400)dv = (3)/(2xx225) xx 1mm`
`dv = (400)/(2xx75)mm (8)/(3)mm`
`+ve,dv rArr "no inversion"`