A 4.0-cm-tall object is 20cm in front of a concave mirror that has a 25 cm focal

Question

A 4.0-cm-tall object

is 20cm in front of a concave mirror that has a 25 cm focal length.

Part A

Calculate the image position.

Express your answer to two significant figures and include the appropriate units.

Part B

Calculate the image height. Type a positive value if the image is upright and a negative value if it is inverted.

Express your answer to two significant figures and include the appropriate units.

A 4.0-cm-tall object is 20cm in front of a concave mirror that has a 25 cm focal length. Part A Calculate the image position. Express your answer to two significant figures and include the appropriate units. Part B Calculate the image height. Type a positive value if the image is upright and a negative value if it is inverted. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

a) object distance = do = 20 cm

     focal length, f = 25 cm

using mirror equation , we get ::

1/do + 1/di = 1/f

1/20 + 1/di = 1/25

1/di = 1/25 - 1/20

di = -100 cm

b) hi = height of image

ho = height of object = 4 cm

using the equation ::

hi/ho = -di/do

hi / 4 cm = - (-100 cm) / 20 cm

hi / 4 cm = 5

hi = 20 cm

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