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A concave mirror of focal length 10 cm produces an Image five times as large as the the image is in front of the mirror determine the distance of object from the mirrors

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Final answer:

To determine the distance of the object from the concave mirror, use the mirror equation and magnification equation to solve for the object distance. Given a concave mirror with a focal length of 10 cm and an image that is five times larger than the object, the object distance is 50 cm.

Step-by-step explanation:

To determine the distance of the object from the concave mirror, we can use the mirror equation: 1/f = 1/do + 1/di, where f is the focal length of the mirror, do is the object distance, and di is the image distance.

Given that the image produced by the mirror is five times as large as the object, we can also use the magnification equation: m = -di/do, where m is the magnification.

Substituting the given values into these equations, we can solve for do:

1/10 = 1/do + 1/(5do)

1/10 = 6/5do

do = 50 cm

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