A convex mirror is on the exterior of the passenger side of many trucks (see the

Question

A convex mirror is on the exterior of the passenger side of many trucks (see the figure(Figure 1) ). If the focal length of such a mirror is -40.0 cm.

A.)what will be the location of the image of a car that is 2.0m high and 115m behind the truck mirror?

B.)what will be the height of the image of a car that is 2.0m high and 115m behind the truck mirror?

C.)what will be the location of the image of a car that is 2.0m high and 13.5m behind the truck mirror?

D.what will be the height of the image of a car that is 2.0m high and 13.5m behind the truck mirror?

Explanation / Answer

A) 115 m = 11500 cm

h = 2 m = 200 cm

1/p + 1/q = 1/f

1/q = 1/f - 1/p = 1/-40 - 1/(115*100)

q = -39.86 cm

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B) m = -q/p = 39.86 / 11500 = 3.47 * 10-3

hf = m hi = 3.47 * 10-3 * (2 * 100 cm)

= 0.693 cm

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C)f = -40 cm

p = 13.5 m = 1350 cm

1/f = 1/p + 1/i

1/i = 1/-40 - [1/1350]

i = -38.85 cm

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D) m = - i / p = 38.85 / 1350 = 0.0288

m = height of the image / height of the object

m = hi / hp

height of the image hi = m * hp

= 0.0288 * 200

= 5.76 cm

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