For a Concave mirror, object can be kept at different positions
Hence, we take different cases
Case 1 - Object is Placed at infinity
In this Case, Object AB is kept far away from mirror (almost at infinite distance)
So, we draw rays parallel to principal axis
Since ray parallel to principal axis passes through the Focus
Both rays meet at focus after reflection
Hence, Image is formed at Focus
And it is very very small
We can say that
- Image is in Front of the Mirror (Real Image)
- Image is Inverted
- Image is Smaller than the Object (Highly Diminished)
Case 2 - Object is beyond Center of Curvature (C)
Here, Object AB is beyond C
First, we draw a ray parallel to principal axis
So, it passes through focus after reflection
We draw another ray which passes through Center of Curvature
So, the ray will go back along the same path after reflection
Where both reflected rays meet is point A'
And the image formed is A'B'
This image is formed between Center(C) and Focus (F)
We can say that
- Image is in Front of the Mirror (Real Image)
- Image is Inverted
- Image is Smaller than the Object (Diminished)
Case 3 - Object is at Center of Curvature (C)
Here, Object AB is kept at C
First, we draw a ray parallel to principal axis
So, it passes through focus after reflection
We draw another ray which passes through Focus
So, the ray will reflect back parallel to the principal axis
Where both reflected rays meet is point A'
And the image formed is A'B'
This image is formed between at Center(C)
We can say that
- Image is in Front of the Mirror (Real Image)
- Image is Inverted
- Image is exactly the same size as that of Object
Case 4 - Object is between Center of Curvature (C) and Focus (F)
Here, Object AB is kept between C and F
First, we draw a ray parallel to principal axis
So, it passes through focus after reflection
We draw another ray which passes through Center of Curvature
So, the ray will go back along the same path after reflection
Where both reflected rays meet is point A'
And the image formed is A'B'
This image is formed between beyond Center(C)
We can say that
- Image is in Front of the Mirror (Real Image)
- Image is Inverted
- Image is larger than the object (Magnified)
Case 5 - Object is at Focus (F)
Here, Object AB is kept at F
First, we draw a ray parallel to principal axis
So, it passes through focus after reflection
We draw another ray which passes through Center of Curvature
So, the ray will go back along the same path after reflection
We observe that both rays are parallel to each other
Hence we can say that they meet at infinity.
Hence, the rays form an image at infinity
And image formed would be larger than the object
We can say that
- Image is in Front of the Mirror (Real Image)
- Image is Inverted
- Image is larger than the object (Magnified)
Case 6 - Object is between Pole (P) and Focus (F)
Here, Object AB is kept between P and F
First, we draw a ray parallel to principal axis
So, it passes through focus after reflection
We draw another ray which passes through Center of Curvature
So, the ray will go back along the same path after reflection
We observe that both reflected rays are diverging
It means that they would have met at some point
Hence, we extend both reflected rays behind the mirror
We see that the rays form an image behind the mirror.
So, the image is virtual
And image formed would be larger than the object
We can say that
- Image is behind the Mirror (Virtual Image)
- Image is erect
- Image is larger than the object (Magnified)
Note: -
Real image is formed in front of mirrorVirtual Image is formed behind the mirror
And,
Inverted image is upside down
Erect image is straight
To summarize
Position of the
object |
Position of the
image |
Size of the
image |
Nature of the
image |
At infinity | At the focus F |
Highly diminished,
point-sized |
Real and inverted |
Beyond C | Between F and C | Diminished | Real and inverted |
At C | At C | Same size | Real and inverted |
Between C and F | Beyond C | Enlarged | Real and inverted |
At F | At infinity | Highly enlarged | Real and inverted |
Between P and F | Behind the mirror | Enlarged | Virtual and erect |
Questions
Question 3 Page 168 - Name a mirror that can give an erect and enlarged image of an object
NCERT Question 2 - The image formed by a concave mirror is observed to be virtual, erect and larger than the object. Where should be the position of the object?
(a) Between the principal focus and the centre of curvature
(b) At the centre of curvature
(c) Beyond the centre of curvature
(d) Between the pole of the mirror and its principal focus.