Question

A convex mirror used on an automobile has a focal length of 6m. If vehicle
behind is at a distance of 12m. Find the nature and location of image.
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Answer 1

Answer:

12m

Explanation:

1/f= 1/u+ 1/v

1/6=1/12+ 1/v

1/v = 1/6 - 1/12

1/v = 2-1/12

1/v = 1/12

V = 12 m

Answer 2

f = 6m, u = - 12m

From mirror formula,.

1/f = 1/u + 1/v

1/f - 1/u = 1/v

1/6 - (-1)/ 12 = 1/v

1/6 + 1/12 = 1/v

2 + 1/12 = 1/v

3/12 = 1/v, 1/4 = 1/v

v = 4m

m = -v/u = -4/-12 = 1/3

The image is virtual and erect as magnification is less than 1 and is positive.

The image is formed behind the mirror and is diminished.