Equiconvex lens are to be manufactured from refractive index 1.5. What will be the radius of curvature if the lens should have a focal length of 20 cm?
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Answer:
The focal length of a thick lens is given by the Lens' Maker Formula-
f
1
=(μ−1)(
R
1
1
−
R
2
1
+
μR
1
R
2
(μ−1)d
)
=(1.5−1)(
+20
1
−
−20
1
+
1.5(20)(20)
0.5(5)
)
⟹f=19.2cm
Hence the image of object far from lens is formed at its focus, that is, at a distance 19.2cm.
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