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(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. |
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Answer» `(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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