A ray parallel to principal axis is incident at $$30^{\circ}$$ from normal on concave mirror having radius of curvature $$R$$. The point on principal axis where rays are focussed is $$Q$$ such that $$PQ$$ is
From similar triangles,
$$\dfrac {QC}{\sin 30^{\circ}} = \dfrac {R}{\sin 120^{\circ}}$$
or $$QC = R \times \dfrac {\sin 30^{\circ}}{\sin 120^{\circ}} = \dfrac {R}{\sqrt {3}}$$
Thus $$PQ = PC - QC = R - \dfrac {R}{\sqrt {3}} = R \left (1 - \dfrac {1}{\sqrt {3}}\right )$$.
An object $$2\ cm$$ in size is placed $$30\ cm$$ in front of a concave mirror of focal length $$15\ cm$$. At what distance from the mirror should a screen be placed in order to obtain a sharp image? What will be the nature and the size of the image formed? Draw a ray diagram to show the formation of the image in this case.
Draw a ray diagram to show that the depth of a vessel containing vessel containing water when seen from above appears to be less than its real depth.
Draw ray diagrams showing the image formation by concave mirror when an object is placed between pole and focus of the mirror
Draw ray diagrams showing the image formation by concave mirror when an object is placed between focus and centre of curvature of the mirror
Draw ray diagrams showing the image formation by concave mirror when an object is placed at centre of curvature of the mirror.
Draw ray diagrams showing the image formation by concave mirror when an object is placed a little beyond centre of curvature of the mirror
Draw ray diagrams showing the image formation by concave mirror when an object is placed at infinity
Draw ray diagrams showing the formation by a convex mirror when an object is placed at infinity
Draw ray diagrams showing the formation by a convex mirror when an object is placed at finite distance from the mirror .
An object is placed between infinity and the pole of a convex mirror. Draw a ray diagram and also state the position, the relative size and the nature of the image formed.