Question

A convex mirror is used for real view on an automobile has a radius of curvature 2m. If a bus is located at a distance of 6m from the mirror. Find the position and nature of the image?

Answer 1

Given :-

▪ A convex mirror of focal length = + 1 m , because focal length = Radius / 2.

▪ Distance of bus from the mirror, u = - 6 m

To Find :-

▪ Position and nature of the image.

Solution :-

We are given focal length and distance of object, so let's find the position of the image, formed which can be calculated using the mirror formula,

⇒ 1 / f = 1/v + 1/u

⇒ 1 / 1 = 1/v - 1/6

⇒ 1 + 1/6 = 1/v

⇒ 1/v = (6 + 1)/6

⇒ 1/v = 7/6

⇒ v = 6 / 7 m

So, The position of the image is 6/7 m from the mirror. Now, Let's find the nature of it by looking at the magnification,

⇒ m = - v/u

⇒ m = -(6/7) / (-6)

⇒ m = 1/7

Properties of Image :-

• Nature : Virtual and Erect.
• Size : Smaller than object.
• Position : 6/7 m behind the mirror.

Answer 2

Answer:

Question

A convex mirror is used for real view on an automobile has a radius of curvature 2m. If a bus is located at a distance of 6m from the mirror. Find the position and nature of the image?

$\huge \sf {To find}$

Position and nature of Image

$\huge \sf {Formula}$

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

Solution

➡️1/1 = 1/v + 1/6

➡️1+1/6= V

➡️1/V = (6+1)/6

➡️1/V = 7/6

➡️V = 6/7 m

$\huge \fbox {Position= 6/7 m}$

➡️ m = - v / u

➡️m= (-6/7)/(6)

➡️m= 1/7

$\huge \fbox {Properties of Image}$

• Nature = Viral and erect
• Size = Smaller than the object
• Position = 6/7 behind the mirror