An object 2.5 cm high is placed at a distance of 10 cm from a concav

Question

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

Options:

A . 9.2 cm

B . 10.5 cm

C . 5.6 cm

D . 7.5 cm

Answer: Option D
:
D
R=-30cm

\Rightarrow

f=-15cm
O=+2.5cm,u=-10cm
By mirror formula

\frac{1}{- 15} = \frac{1}{v} + \frac{1}{(- 10)} \Rightarrow v = 20 c m .

Also

\frac{I}{O} = \frac{v}{u} \Rightarrow \frac{I}{(+ 2.5)} = \frac{30}{(- 10)} \Rightarrow I = + 7.5 c m .

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