Question

Draw ray diagram for image position in a concave mirror for object
positioned between infinity and center of curvature.

Answer 1

$\maltese$ Required ray diagram:-

• Refer to attachment.

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$\maltese$ Rules for image formation:-

• Any ray of light passing parellel to the principal axis, will pãss through the principal focus (F).

• Any ray of light which passes through principal focus, will travel in parellel line with principal focus.

• Any ray of light passing through  will reflect back along same line path.

• Any ray of light which is not parellel to principal focus, will follow law of reflection and passes through the same angle as the angle of incidence. The normal in this case will be principal axis.

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$\maltese$ Terms used in the attachment:-

• AB is the image

• P is the pole

• F is focal length

• C is centre of curvature

• $\sf {A^'} {B^'} is \: object\: distance$

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$\maltese$ Important points to remember while drawing ray diagrams:-

• Always follow rules for image formation while forming images.

• Atleast 2 rays are required to construct an image.

• The length of focal length must be equal to half of the radius of curvature.

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$\maltese$ Some important concepts:-

• Principal axis

$\leadsto$ The imaginary line, which is perpendicular to the surface of mirror is called principal axis.

• Principal focus

$\leadsto$ The point at principal axis at which ray of light after reflection passes is called principal focus.

• Centre of curvature

$\leadsto$ The centre of the sphere of which mirror is a part is called centre of curvature.

• Focal length

$\leadsto$ The distance between focal length and pole of mirror is called focal length.

• Aperture

$\leadsto$ The length of the given mirror is called it's aperture.

• Radius of curvature

$\leadsto$ The distance between centre of curvature and pole is called radius of curvature.

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$\maltese$ Position and nature of image formation by concave mirror:

$\boxed{\begin{array}{c|c|c|c}\sf \pink{Position_{\:(object)}} &\sf \purple{Position_{\:(image)}} &\sf \red{Size_{\:(image)}} &\sf \blue{Nature_{\:(image)}}\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf At \:Infinity &\sf At\: F&\sf Highly\:Diminished&\sf Real\:and\:Inverted\\\\\sf Beyond\:C &\sf Between\:F\:and\:C&\sf Diminished&\sf Real\:and\:Inverted\\\\\sf At\:C &\sf At\:C&\sf Same\:Size&\sf Real\:and\:Inverted\\\\\sf Between\:C\:and\:F&\sf Beyond\:C&\sf Enlarged&\sf Real\:and\;Inverted\\\\\sf At\:F&\sf At\:Infinity&\sf Highly\: Enlarged&\sf Real\:and\:Inverted\\\\\sf Between\:F\:and\:P&\sf Behind\:the\:mirror&\sf Enlarged&\sf Erect\:and\:Virtual\end{array}}$

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