1.

A pin is placed 0.1 m in front of a convex lens of focal length 0.2 m and refractive index 1.50. The surface of the lens farther away from the pin is silvered and has a radius of curvature of 0.22 m. How far from the lens is the final image formed ?

Answer»

10 cm
11 cm
12 cm
13 cm

Solution :(b) `|(1)/(F)| = (2)/(f_(1))+(1)/(f_(m))=(2)/(20)+(2)/(22)`
`therefore "" |F| = (110)/(21) cm`
The convex lens with a silvered surface behaves as a concave mirror of effective focal length.
`therefore "" F = (-100 cm)/(21)`
and mu = - 10 cm
By mirror formula,
`(1)/(v) + (1)/(u) = (1)/(F)`
`rArr "" (1)/(v) = - (21)/(110) + (1)/(10)`
v = - 11 cm.


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