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An object 2.5 cm high is placed at a distance of 10 cm from a concave mirror of radius of curvature 30 cm. The size of the image is

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a

9.2 cm

b

10.5 cm

c

5.6 cm

d

7.5 cm

answer is D.

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Detailed Solution

$R = - 30 cm \Rightarrow f = - 15 cm O = + 2 .5 cm, u = - 10 cm By mirror formula \frac{1}{- 15} = \frac{1}{v} + \frac{1}{(- 10)} \Rightarrow v = 30 cm . Also \frac{I}{O} = - \frac{v}{u} \Rightarrow \frac{I}{(+ 2 .5)} = - \frac{30}{(- 10)} \Rightarrow I = + 7 .5 cm$

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