2.) A 1.3-cm -tall object is 16 cm in front of a concave mirror that has a 59 cm

Question

2.) A 1.3-cm -tall object is 16 cm in front of a concave mirror that has a 59 cm focal length.

a.) Calculate the position of the image. Express your answer to two significant figures and include the appropriate units.

b.) Calculate the height of the image. Express your answer to two significant figures and include the appropriate units.

c.)

State whether the image is in front of or behind the mirror, and whether the image is upright or inverted.

State whether the image is in front of or behind the mirror, and whether the image is upright or inverted.

The image is inverted and placed behind the mirror. The image is inverted and placed in front of the mirror. The image is upright and placed behind the mirror. The image is upright and placed in front of the mirror.

Explanation / Answer

Ho (height of object) = 1.3 cm

u (object distance) =-16 cm, f = -59 cm

using mirror equation,

1/f = 1/u + 1/v

1/ -59 = 1/(-16)+ 1/v

1/v = 1/16 -1/59

v = ( 59x 16 ) / ( 59 - 16) = 21.953 cm apprx

hi/ho = v/u

hi = 1.3 ( 22/ 16) = 1.78 cm apprx

c) The image is upright and placed behind the mirror.

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