If the magnification of a virtual image formed by an object 10cm from a convex…

If the magnification of a virtual image formed by an object 10cm from a convex less is 3, then the focal length of the lens is
  • A.
    10cm
  • B.
    20cm
  • C.
    25cm
  • D.
    15cm
Correct Answer: Option D
Explanation

M = (frac{v}{u}) = 3 = (frac{v}{30}). V = 30m
(frac{1}{u}) + (frac{1}{v}) = (frac{1}{f}) = (frac{1}{10}) – (frac{1}{30}) = (frac{1}{f})
(frac{3 – 1}{30}) = (frac{1}{f}
f = (frac{30}{2}) = 15cm

There is an explanation video available below.

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