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A convex mirror is used for rear-view on an automobile has a radius of curvature of $15.00 m$ . If a bus is located at $5.00 m$ from this mirror, the position of the image will be [[1]] $m$ .

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Detailed Solution

A convex mirror is used for rear-view on an automobile has a radius of curvature of

15.00 m

. If a bus is located at

5.00 m

from this mirror, the position of the image will be

3 m

.
It has been given that,
Object distance,

(u) = - 5 m

Radius of curvature,

(R) = 15 m

Where

v

is the distance of the image from the mirror,

u

is the distance of the object from the mirror, and

f

is the focal length of the mirror.
Focal length,

f = \frac{R}{2}

\Rightarrow f = \frac{15.00}{2}

\Rightarrow f = 7.50 m

Applying mirror formula,

\frac{1}{v} + \frac{1}{u} = \frac{1}{f}

\frac{1}{v} = \frac{1}{f} - \frac{1}{u}

\frac{1}{v} = \frac{1}{2.50} - \frac{1}{- 5.00}

v = 3 m

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