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MHT CET · Physics · Ray Optics

A convex lens of focal length \(\frac{1}{3} \mathrm{~m}\) forms a real, inverted image twice the size of the object. The distance of the object from the lens is

  1. A 0.5 m
  2. B 0.166 m
  3. C 0.33 m
  4. D 1 m
Verified Solution

Answer & Solution

Correct Answer

(A) 0.5 m

Step-by-step Solution

Detailed explanation

\(m = \frac{v}{u} \implies -2 = \frac{v}{u} \implies v = -2u\) \(\frac{1}{v} - \frac{1}{u} = \frac{1}{f} \implies \frac{1}{-2u} - \frac{1}{u} = \frac{1}{1/3} \implies \frac{-3}{2u} = 3\)