1.

(i) A paper weight of refractive index n=3//2 in the from of a hemisphere of radius 3.0 cm is used to hold down a printed page. An observer looks at the page vertically through the paperweight. At what height above the page will the printed letters near the centre appear to the observer ? (ii) Solve the previous problem if the paperweight is inverted at its place so that the spherical surface touches the paper.

Answer»


SOLUTION :(i) For `AB` FACE `AB(1)/(v)+(1)/(u)=(2)/(R)R_(AB)=infty`
`(1)/(v)=-(1)/(u) |v|=|u|`
For spherical SURFACE
`(n_(2))/(v)-(n_(1))/(u)=(n_(2)-n_(1))/(R)`
`(1)/(v)-(3/2)/(-3)=(1-(3)/(2))/(-3)` ltb rgt `v=-3`
So no shift

(ii)
`D_(app)=d_(actual)//n_(relative)=(3)/(3//2)=2 CM`
so shift `=3-2=1 cm` upward


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