When an object is located very far away from a convex mirror,the image of the ob

Question

When an object is located very far away from a convex mirror,the image of the object is 21 cm behind the mirror. Determine wherethe image is located when the object is placed 8.4 cm in front ofthe mirror.

Number

Units

the tolerance is +/-2%

Explanation / Answer

The focal length of the convex mirror is        1 / f = 1 / o + 1/ i               = 1 /     + 1 / -21 ==> f = - 21 cm Therefore the image location when object is placed at 8.4 cm infront of the mirror is            1 /i = 1 / f    -   1 / o                   = - 1 / 21    - 1 / 8.4                   = - 0.0476 - 0.1190                   = - 0.1666 ==> image location i = - 6.00 cm

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