## A convex mirror used a rear-view mirror in a car has a radius of curvature of 3 m. If a bus is located at a distance of 20m from t

Question

A convex mirror used a rear-view mirror in a car has a radius of curvature of 3 m. If a bus is located at a distance of 20m from this position of image. What is the nature of image ?

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Mathematics
2 years
2021-06-22T02:48:10+00:00
2021-06-22T02:48:10+00:00 2 Answers
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## Answers ( )

Given:In convex mirror,

Radius of curvature = 3m

Object distance = 20 m

To find:The position of the image and nature of the image.

Solution:1st we have to find focal length we know that,

» For a spherical mirror having small aperture, the principle focus lies exactly mid way between the pole and centre of curvature. So, the focal length of a spherical mirror is equal to the half of its radius of curvature.

if f is the focal length of a mirror and R is its radius of curvature, then f = R/2

by substituting the given values in the formula,

Now, using mirror formula that is,

» A formula which gives the relationship between image distance, object distance and focal length of a sperical mirror is known as the mirror formula .i.e.,

where,

By substituting all the given values in the formula,

Thus, the position of the image is 1.39 m.Hence, the nature of image is the image is erect and virtual.Hola ⚘⚘

Finding the focal length

Now, Using mirror formula

v = Image distance

u = object distance

f = focal length

• Position of the image is 1.39 m

• Nature of image erect and virtual