Question

An object is kept at a distance of 5m in front of a spherical mirror, which forms its erect image at a distance of 2m from the mirror. What is the magnification? Is the mirror concave or convex?​

Answer 1

Given:-

An object is kept at a distance of 5m in front of a spherical mirror, which forms its erect image at a distance of 2m from the mirror

Which Means

Object Distance(u)= 5cm

Image Distance(v)=2 m

Image Formed is Erect.

To Find:-

Magnification of the mirror(m)

Mirror is Concave or Convex.

Solution:-

According to the Question

Image Formed if Erect.

Which means the image is Virtual

Then we use Magnification Formula

m = \frac{ - v}{u}m=

u

−v

So, we will Substitute the Value in this equation

= > m = \frac{ - 2}{ - 5}=>m=

−5

−2

= > m = \frac{2}{5}=>m=

5

2

= > m = 4=>m=4

\therefore the \: magnification \: of \: the \: mirror \: is \: 4cm∴themagnificationofthemirroris4cm

Which is Positive

So, The Mirror is Convex