# Question #db044

##### 2 Answers

#### Answer:

Test the condition at the two limits given in the question,

I show you how, below...

#### Explanation:

The equation for a spherical mirror is

which I will write as

If the object is located at

This is only true if

Next, recall that for a spherical mirror,

The equation becomes

or

It follows (I think!) that for any placement of the object between these limits, the image must be between the location of

Assuming that the question is about spherical mirrors and has been posted under flat mirror by oversight only.

We know that Mirror formula is the relationship between object distance

#1/f=1/v+1/u# .....(1)

A. When Object is placed at

Object distance

Inserting in equation (1) we get

Implies that image is formed at

B. Object is placed at

Object distance

Inserting in equation (1) we get

Implies that image is formed at

C. Object is placed between

Object distance

Inserting in equation (1) we get

Inserting any value of

Note that for

-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.

***Sign Convention**: For spherical mirrors, normally object distance is taken as negative, as it is measured against direction of light.Image distance is positive for real images and is in the direction of travel of light. Focal length is positive accordingly for a converging mirror as it is measured in the direction of travel of light.

If sign convention is followed then Mirror Formula for a converging mirror becomes

#1/u+1/f=1/v#

and calculations are to be done appropriately.