Question

the radius of curvature of convex mirror used on automobile is 2.0 m. a truck is coming behind it at constant distance of 3.5 metre calculate ( 1) the positions and nature of image​

Answer 1

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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

Image will be virtual, erect and smaller than object.