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Ray Optics And Optical Instruments

Question
CBSEENPH12039709

A plane 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?

  • 20 cm

  • 30 cm

  • 60 cm

  • 80 cm

Solution

A.

20 cm

1 over straight F space equals space 2 over straight f subscript 1 space plus 1 over straight f subscript straight m
and space 1 over straight f subscript 1 space equals space left parenthesis 1.5 minus 1 right parenthesis space open parentheses 1 over infinity minus fraction numerator 1 over denominator negative 30 end fraction close parentheses space equals space 1 over 60
and space straight f subscript straight m space equals space 15 space cm
therefore comma space straight F space equals space 10 space cm
object space should space be space placed space at space 20 space cm space from space the space lens.