A convex lens of focal length …
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A convex lens of focal length 20cm is placed coaxially with a convex mirror of radius of curvature 20cm the 2 are kept 20cm apart from each other . A poin object is place 60 cm infront of the convex lens . Draw a ray digram to show the formation of the image by the combination . Determine the nature and position of the image form..
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Sia ? 6 years, 3 months ago
The ray diagram given below shows the image formation:
Object O is at 2f of a lens so it will form an image at 2f, i.e. 60 cm from the lens.So the position of an object for a mirror is at (60 - 15)cm = 45cm behind the mirror.
Now from the ray diagram we have
f = +10 cm, u = +45 cm and v = ?
{tex}\frac { 1 } { v } + \frac { 1 } { u } = \frac { 1 } { f } \Rightarrow \frac { 1 } { v } + \frac { 1 } { 45 } = \frac { 1 } { 10 }{/tex}( by using mirror formula)
{tex}\therefore v = + \frac { 90 } { 7 } \mathrm { cm }{/tex} (behind the mirror)
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