A double convex lens has a radii of curvature 1m and 2m what is th erefractive index if if focal length is 50 cm
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Solution :-
As per the given data ,
- R 1 = 1 m = 100 cm
- R 2 = 2m = - 200 cm
- Focal length ( f) = 50 cm
We need to find the refractive index of the convex lens
Hence , by using the lens maker's formula ,
⇒ 1 / f = ( n - 1 ) ( 1 / R 1 - 1 / R 2 )
⇒ 1 / 50 = ( n - 1 ) ( 1 / 100 + 1 / 200 )
⇒ 1 / 50 = ( n - 1 ) ( 2 + 1 / 200 )
⇒ 1 / 50 = ( n - 1 ) ( 3 / 200 )
⇒ n - 1 = 200 / 50 x 3
⇒ n - 1 = 4 / 3
⇒ n - 1 = 1.33
⇒ n = 2.33
The refractive index of the biconvex lens is 2.33
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Explanation:
using lense formula we can do this .answer is 2.33
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