An object is kept at the centre of curvature of a convex lens of focal length 10 cm. Find the
position and nature of the image
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The position of of the image is -10 cm( behind the mirror) and nature is virtual and erect
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Given info : An object is kept at the centre of curvature of a convex lens of focal length 10 cm.
To find : the position and nature of the image are ..
solution : focal length of convex lens , f = 10 cm
so radius of curvature of convex lens, R = 2f = 20 cm
so object distance, u = - 20cm
focal length, f = +10cm
using formula, 1/v - 1/u = 1/f
⇒1/v - 1/-20 = 1/10
⇒1/v = 1/10 - 1/20 = 1/20
⇒v = 20 cm
Therefore position of image is 20cm from the pole of convex lens. (just opposite side of object )
magnification, m = v/u = 20/-20 = -1 , it indicates that image is real and size of image is size of object.
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