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Sign convention for concave,convex mirror and concave,convex lens?
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Sign convention for concave,convex mirror and concave,convex lens?
For mirror Sign in the case of concave mirror: *.Since, object is always placed in front of the mirror hence the sign of object is taken as negative. *.Since, the centre of curvature and focus lie in front of the concave mirror, so signs of radius of curvature and focal length are taken as negativein the case of concave mirror. *.When image is formed in front of the mirror, the distance of image is taken as – (negative) and when image is formed behind the mirror, the distance of image is taken as + (positive). *.Height of image is taken as positive in the case of erect image and taken as negative in the case of inverted image. Sign in the case of a convex mirror: *.Since, object is always placed in front of the mirror hence the sign of object is taken as negative. *.Since, the centre of curvature and focus lies behind the convex mirror, so sign of radius of curvature and focal length are taken as + (positive) in the case of convex mirror. *.In the case of convex mirror, image always formed behind the mirror, thus the distance of image is taken as positive. *.In the case of a convex mirror, always an erect image is formed, thus the height of image is taken as positive. For lenses , Sign convention for lens is similar to that of spherical mirror. Signs are taken left of theoptical centre as negative, right of the optical centre as positive, above of the principal axis as positive and below of the principal axis as negative. Sign Convention - The new sign convention is known as New Cartesian Sign Convention. In this sign is taken negative towards left and taken as positive towards right at X-axis from origin.The sign is taken as positive (+) above the origin point at Y-axis; and below the origin point as negative (-) at Y-axis.
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Sign convention for concave,convex mirror and concave,convex lens?
Sign Convention for Concave, Convex Mirror and Concave, Convex Lens


Sign convention is a set of rules that is used to determine the sign of various physical quantities involved in the study of optics. It helps to determine the direction and the sign of the image formed by lenses and mirrors. The sign convention is based on the Cartesian coordinate system.


Sign Convention for Concave Mirror


  • The object distance (u) is always measured from the pole of the mirror to the object.

  • The image distance (v) is always measured from the pole of the mirror to the image.

  • The focal length (f) is always measured from the pole of the mirror to the focal point.

  • The radius of curvature (R) is always measured from the pole of the mirror to the center of curvature.

  • The height of the object (h) is always measured perpendicular to the principal axis and is taken as positive if it is above the principal axis and negative if it is below the principal axis.

  • The height of the image (h') is always measured perpendicular to the principal axis and is taken as positive if it is above the principal axis and negative if it is below the principal axis.

  • The magnification (m) is positive for a virtual image and negative for a real image.



Sign Convention for Convex Mirror


  • The object distance (u) is always measured from the pole of the mirror to the object.

  • The image distance (v) is always measured from the pole of the mirror to the image.

  • The focal length (f) is always measured from the pole of the mirror to the focal point.

  • The radius of curvature (R) is always measured from the pole of the mirror to the center of curvature.

  • The height of the object (h) is always measured perpendicular to the principal axis and is taken as positive if it is above the principal axis and negative if it is below the principal axis.

  • The height of the image (h') is always measured perpendicular to the principal axis and is taken as positive if it is above the principal axis and negative if it is below the principal axis.

  • The magnification (m) is positive for a virtual image and negative for a real image.



Sign Convention for Concave Lens


  • The object distance (u) is always measured from the lens to the object and is taken as positive for an object on the same side as the incident light.

  • The image distance (v) is always measured from the lens to the image and is taken as positive for a virtual image.

  • The focal length (f) is always measured from the lens to the focal point and is taken as negative for a diverging lens.

  • The height of the object (h) is always measured perpendicular to the principal axis and is taken as positive if it is above the principal axis and negative if it is below the principal axis.

  • The height of
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Sign convention for concave,convex mirror and concave,convex lens?
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