Question

Draw ray diagrams for the cases of images obtained in concave mirrors as described in the table below. 

Images formed by concave mirrors
No.	Position of the object	Position of the image	Nature of image	Size of the image
1	Between pole and focus	Behind the mirror	Erect, virtual	Magnified
2	At the focus	At infinity	Inverted, real	Very large
3	Between focus and centre of curvature	Beyond the centre of curvature	Inverted, real	Magnified
4	At the centre of  curvature	At the centre of curvature	Inverted, real	Same as the object
5	Object between infinity and Centre of curvature	Between the centre of curvature and focus	Inverted, real	Diminished
6	Object at infinity	At focus	Inverted, real	Diminished

Answer 1

1. Object between the focus (F) and the pole (P):
   
   P: pole, C: Centre of curvature, F: Focus, PF: Focal length (f), PC: Radius of curvature (R), AB: Object, A'B': Image, PB: Object distance (u), PB': Image distance (ν)
   Here, the image forms from behind the mirror. It is enlarged and virtually upright.
2. Object at the focus (F):
   
   C: Centre of curvature, F: Focus, PF: Focal length (f), PC: Radius of curvature (R), AB: Object, PB: Object distance (u)
   Here the image is formed at infinite distance. It is real, inverted and huge in size.
3. Object between the centre of curvature (C) and the focus (F):
   
   C: Centre of curvature, F: Focus, PF: Focal length (f), PC: Radius of curvature (R), AB: Object, A'B': Image, PB: Object distance (u), PB': Image distance (ν)
   Here the image exits the center of curvature. It is real, inverted and larger in size than the object.
4. Object at the centre of curvature:
   
   C: Centre of curvature, F: Focus, PF: Focal length (f), PC: Radius of curvature (R), AB: Object, A'B': Image, PB: Object distance (u), PB': Image distance (ν)
   In this situation the image is formed at the center of curvature only. It is real, inverted and similar in size.
5. Object between infinity and Centre of curvature:
   
   C: Centre of curvature, F: Focus, PF: Focal length (f), PC: Radius of curvature (R), AB: Object, A'B': Image, PB: Object distance (u), PB': Image distance (ν)
   Here the image is between the center of curvature and the principal focus. The image is real, inverted and smaller than the object.
6. Object at infinity:
   
   C: Centre of curvature, F: Focus, PF: Focal length (f), PC: Radius of curvature(R), AB: Object at infinity 
   In this situation, the image is formed at the principal focus of the concave mirror. It is real, contrasting and much smaller in size.