Bobby places a 4.75 cm tall light bulb a distance of 33.2 cm from a concave mirror. if the mirror has a focal length of 28.2, then what is the image height and image distance?

Explanation:

Height of the light bulb, h = 4.75 cm

Distance between the light bulb and the concave mirror, u = -33.2 cm

Focal length of the mirror, f = -28.2 cm (negative always)    

Let v is the distance between the image and the light bulb. It can be calculated as :

v = -187.24 cm

So, the image distance from the mirror is 187.24 cm.  

The magnification of the mirror is given by :

or

, h' is the size of image  

h = -26.78 cm

So, the height of the image is 26.78 cm and it is inverted. Hence, this is the required solution.

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