Draw ray diagrams showing the image formation by a concave mirror when an object is placed:
$(a)$ Between pole $(P)$ and focus $(F)$ of the mirror.
$(b)$ Between focus $(F)$ and centre of curvature $(C)$ of the mirror.
$(c)$ At centre of curvature $(C)$ of the mirror.
$(d)$ $A$ little beyond centre of curvature $(C)$ of the mirror.
$(e)$ At infinity.

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(N/A) To draw the ray diagrams for a concave mirror,follow these steps for each case:
$(a)$ Between $P$ and $F$: The image is virtual,erect,and magnified,formed behind the mirror.
$(b)$ Between $F$ and $C$: The image is real,inverted,and magnified,formed beyond $C$.
$(c)$ At $C$: The image is real,inverted,and of the same size as the object,formed at $C$.
$(d)$ Beyond $C$: The image is real,inverted,and diminished,formed between $F$ and $C$.
$(e)$ At infinity: The image is real,inverted,and highly diminished (point-sized),formed at the focus $F$.

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$(i)$ Under what condition does a concave mirror produce a virtual and magnified image? Draw a labelled ray diagram to show the formation of the image in the above case. Also,state the position of the object to produce a magnified and real image.
$(ii)$ $A$ ray of light moving along the principal axis is falling on a concave mirror. Draw the path of the reflected ray. Also,state the values of the angle of incidence and reflection in this case.

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