Optics Question 682

Question: A plano-convex lens of refractive index 1.5 and radius of curvature 30 cm is silvered at the curved surface. Now this lens has been used to form the image of an object. At what distance from this lens an object be placed in order to have a real image of the size of the object

[AIEEE 2004]

Options:

A) 20 cm

B) 30 cm

C) 60 cm

D) 80 cm

Show Answer

Answer:

Correct Answer: A

Solution:

Focal length of the system (concave mirror) $ F=\frac{R}{2} $

$ =\frac{30}{2\times 1.5} $ =10 cm In order to have a real image of the same size as the object, the object must be placed at the centre of curvature u = (2f).



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