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March 27, 2017

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A small statue has a height of 3.8 cm and is placed in front of a concave mirror. The image of the statue is inverted, 1.9 cm tall, and located 14 cm away from the mirror. Find the focal length of the mirror.

  • Physics - ,

    The image is real (because it is inverted)and the magnification is 1.9/3.8 = 1/2.
    The image distance di is half the object distance do. (do = 2 di)
    1/di + 1/do = 3/do = 1/f
    f = do/3 = 2 di/3 = 9.33 cm

    Check:
    1/28 + 1/14 = 1/9.33

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