Question

An object 11.0 cm tall is placed at the zero mark of a meterstick. A spherical mirror located at some point on the meterstick creates an image of the object that is upright 4.00 cm tall, and located at the 44.0-cm mark of the meterstick. (a) is the mirror convex or concave? convex concave (b) Where is the mirror? At the cm mark. (c) What is the mirror's focal length? | cm

Answer 1

A)

Convex

B)

Magnification, m = - di/do = hi/ho

4/11 = - di/do

di = - 0.3636 do

do - di = 44

do + 0.36 do = 44

do = 32.27 cm

C)

di = - 0.36 x 32.27 = - 11.62 cm

Using lens formula,

1/f = 1/di + 1/do

f = (-11.62 x 32.27)/(-11.62 + 32.27)

f = - 18.15 cm

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