An object is placed 5m away from a convex mirror with a radius of curvature of 2

Question

An object is placed 5m away from a convex mirror with a radius of curvature of 2m.
A) What is the focal length of the mirror? B) How far away is the image from the mirror, include whether it is in front or behind the mirror? C) Is the image real or virtual? D) Is the image inverted or upright? E) What is the magnification of the image?
Please show work! An object is placed 5m away from a convex mirror with a radius of curvature of 2m.
A) What is the focal length of the mirror? B) How far away is the image from the mirror, include whether it is in front or behind the mirror? C) Is the image real or virtual? D) Is the image inverted or upright? E) What is the magnification of the image?
Please show work! An object is placed 5m away from a convex mirror with a radius of curvature of 2m.
A) What is the focal length of the mirror? B) How far away is the image from the mirror, include whether it is in front or behind the mirror? C) Is the image real or virtual? D) Is the image inverted or upright? E) What is the magnification of the image?
Please show work!

Explanation / Answer

a)

the focal length of the mirror = R/ 2

f = 2 / 2 = 1m

b)

by using the mirror formula

1 / f = 1 / v + 1 / u

1 / v = 1 / f - 1 / u

v = 1 / ( 1 / 1 - 1 / -5)

v = 0.83 m

the image is at position is 0.83 m

the image is behind the mirror between pole and focal length

c)

the image is virtual

d)

upright

e)

the formula of magnification

m = - v / u

m = -0.83 /- 5

m = 0.166

the magnification of the image is 0.166

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