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an object is placed at 15 cm from a convex mirror of radius of curvature 90 cm. calculate the position of the image and magnification

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Secondary SchoolScience5 points

An object is placed 15 cm from a convex mirror of radius of curvature 90cm. calculate position of the image and its magnification.

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MeischerVirtuoso

Radius of curvature = 90 cm 

focal length = r/2 = +45 cm(since it is on the direction on the incident light)

object distance, u = - 15 cm (since it is on the opposite direction of the incident light)

we have to find v= ?

using mirror formula we get ,

1/v + 1/u = 1/f

so 1/ v = 1/f - 1/u 

1/v = 1/ 45 - (1/-15) = 1/45 + 1/15 = 4/45

so v =45 / 4 cm

therefore image distance = 45 / 4 cm (positive sice it is in the direction of incident light)


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