Question

a convex mirror used for rear-raw on an automobile has a radius of curvature of 8m. If a bus is located at 10m from the mirror. Find the position,nature and size of the mirror​

Answer 1

Answer:

A convex mirror used for rear view on an automobile has a radius of curvature of 3 m. If a bus is located at 5 m from this mirror. A convex mirror used for rear view on an automobile has a radius of curvature of 3 m.

Answer 2

Answer :

Image formed is virtual, erect, and smaller in size by 0.44 .

Step-by-step explanation :

Given :

• Radius of curvature (R) = 8m

• Object distance (u) = - 10 m

To find :

• Image distance (v) = ?

• Height of the image (hi) = ?

• Position , nature, size = ?

Formulae Used :

1. Mirror formula is given by,

• 1/v + 1/u = 1/f

2. Focal length = R/2 [ As radius of curvature is given ]

3. Magnification = hi/h or -v/u

SoluTion :

Firstly let's find the focal length, further we'll find image distance and magnification.

Focal length :

→ R/2

→ 8/2

→ + 4 m.

The above focal length will be positive as the Radius of curvature is positive in convex mirror.

Apply mirror formula,

➝ 1/v + 1/u = 1/f

➝ 1/v = 1/f - 1/u

➝ 1/v = 1/8 - 1/-10

➝ 1/v = -10-8/-80

➝ 1/v = -18/-80

➝ v = 80/18

➝ v = 4.4 m

Now, let's find the magnification to know the position, nature and size of the image .

Magnification :

→ hi/h

→ -v/u

→ -4.4/-10

→ + 0.44

Hence, image formed is virtual, erect, and smaller in size by 0.44 .