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Question

Write the sign convection used for spherical mirror .

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Solution

u is object distance
v is image distance
f is focal length
h is height of object
h' is height of image
m is magnification
Above quantities are applied for all mirrors and lens.

Sign convention of mirror
1. Concave mirror
u = negative
v = negative (Real and Inverted) and positive (Virtual and Erect)
f = negative
h = positive
h' = negative (Real and Inverted) and positive (Virtual and Erect)
m = negative (Real and Inverted) and positive (Virtual and Erect)

2. Convex Mirror
u = negative
v = positive
f = positive
h = positive
h' = positive
m = positive

Sign Convention of Lenses
1. Convex Lens
u = negative
v = positive (Real and Inverted) and negative (Virtual and Erect)
f = positive
h = positive
h' = negative (Real and Inverted) and positive (Virtual and Erect)
m = negative (Real and Inverted) and positive (Virtual and Erect)

2. Concave Lens
u = negative
v = negative
f = negative
h = positive
h' = positive
m = positive

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