A convex mirror, like the passenger-side rearview mirror on a car, has a focal l

Question

A convex mirror, like the passenger-side rearview mirror on a car, has a focal length of -2.7 m. An object is 5.4 m from the mirror. Use ray tracing to determine the location of its image. How far is the image from the mirror? Input positive value if the image is on the same side from the mirror as an object and negative if the image is on the other side. Express your answer to two significant figures and include the appropriate units. Is the image upright or inverted? Is it real virtual? Upright, virtual. Inverted, virtual

Explanation / Answer

(a) We have relation for lense

1/v + 1/u = 1/f

where v is distance of image , u distance of object and f is focal length.

sign convention taken : all distnace left side of the mirror is taken as negative whereas to the right side positive.

here f=2.7 m

u=- 5.4 m

1/v+ (-1/5.4) =1/2.7

1/v=1/2.7 +1/5.4
1/v=1/(0.56)

v=1.8 m on the other side of the mirror.

(b)

The nature of the image is

Diminished , virtual and upright.

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