Question

The radius of curvature of a convex mirror used on a moving automobile is 2.0m.a truck is coming behind it at a constant distance of 3.5m. Calculate the position and the size of the image relative to the size of the truck. What will be the nature of the image

Answer 1

Answer:

Explanation:

∵f=R/2

so,f=2/2=1m

1/f=1/u+1/v

1/1=-1/3.5+1/v

1/v=1/3.5+1

1/v=4.5/3.5=9/7

v=7/9=0.77m

image formed is virtual and erect.

m=-v/u

=-7/9/-3.5=0.22

Answer 2

Answer:

f = r÷2 = 2m ÷ 2 = 1 m

u = -3.5 m

Using mirror formula,

1 ÷ -3.5 m + 1 ÷ v = 1 ÷ 1 m

1 ÷ v = 1 m + 1 ÷ 3.5 m

1 ÷ v = (3.5 + 1) m ÷ 3.5

1 ÷ v = 4.5 m ÷ 3.5

1 ÷ v = 9 ÷ 7 m

v = 7 ÷ 9 m

v = 0.78 m

Explanation:

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