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NEET 2011 (AIPMT, Prelims) · Spherical Surfaces & Thin Lenses

Spherical Surfaces & Thin Lenses question from NEET 2011 (AIPMT, Prelims)

Q102NEET 2011 · AIPMT · PRELIMSMedium

Spherical Surfaces & Thin Lenses

A biconvex lens has a radius of curvature of magnitude 20 cm. Which one of the following options best describes the image formed of an object of height 2 cm placed 30 cm from the lens?

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Answer: (c)

Taking $\mu = 1.5$ : $\frac{1}{f} = 0.5\left(\frac{2}{20}\right) \Rightarrow f = 20$ cm.
$u = -30$ cm: $\frac{1}{v} = \frac{1}{20} - \frac{1}{30} = \frac{1}{60} \Rightarrow v = 60$ cm
$m = \frac{v}{u} = -2$ , so image height $= 2 \times 2 = 4$ cm, real and inverted.
So the answer is (c).

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