When a 10.5 cm tall object is placed in front of a convex mirror with a 10 cm focal length, the image is created at a distance of 25 cm. Which of the following statements is true if v denotes image distance, f denotes focal length, and h denotes object height?

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v= -25 cm, f= -10 cm, and h = -10.5 cm

v= -25 cm, f= +10 cm, and h = -10.5 cm

v= +25 cm, f= -10 cm, and h = +10.5 cm

v= +25 cm, f= +10 cm, and h = +10.5 cm

answer is D.

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Detailed Solution

Since a convex mirror always forms a virtual image behind the mirror, the image distance(v) will be positive which is +25 cm.
The height measured above the principal axis is considered positive. Therefore, the height(h) of the object will be +10.5 cm.
The focus of a convex mirror always lies behind the mirror, therefore, the focal length(f) will also be positive which is +10 cm.

Therefore, image distance, height and focal length all will be positive.

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