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?

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Answer 1

Given :

• The distance at which an object is kept from a spherical mirror = 5 m

• The image formed is erect.

• The image is formed at a distance of 2 m from the mirror.

To find :

• Magnification

• To check whether the mirror is concave or convex

Solution :

We have,

• Object distance = - 5 m [Here, we have taken the value of object distance as negative due to sign convention.]
• Image distance = 2 m

Using formula,

⟶ m = - v/u

where,

• m denotes the magnification

• v denotes the image distance

• u denotes the object distance

Substituting the given values ::

⟶ Magnification = - 2/ - 5

⟶ Magnification = 2/5

⟶ Magnification = 0.4

Therefore, the magnification of the image = 0.4

It is a convex mirror because the magnification is positive and image is erect and diminished.

Answer 2

Answer:

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

So, we will Substitute the Value in this equation

Which is Positive

So, The Mirror is Convex