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An object is placed at a distance of 25 cm from the pole of a convex mirror and a plane mirror is set at a distance 5 cm from convex mirror so that the virtual images formed by the two mirrors do not have any parallax. The focal length of the convex mirror is

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a

37.5 cm

b

-7.5 cm

c

-37.5 cm

d

+7.5 cm

answer is A.

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Detailed Solution

Clearly, the distance of  IMAGE  I from P is 15 cm. WITH RESPECT TO THE MIRROR  IMAGE WILL BE FORMED AT 20 cm on the other side of it.Now,  u=−25cm,v=15cm,f=?1u+1v=1f  or  1f=1−25+115or 1f=−3+575  f=752cm=37.5cm
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