An object is placed at a certain distance on the principal axis of concave mirror. The image is formed at a distance 30 cm from the mirror. Find the object distance if r = 15 cm

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15 cm

20 cm

10 cm

7.5 cm

answer is C.

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Detailed Solution

v $= 30 c m r = 15 c m \Rightarrow f = - 7.5 c m 1 / f = 1 / v + 1 / u \Rightarrow - 10 / 75 = 1 / u - 1 / 30 1 / 30 - 10 / 75 = 1 / u 5 - 20 / 150 = 1 / u - 15 / 150 = 1 / u \Rightarrow u = - 10 c m$

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