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CBSE Class 10 Answered

An object 2 cm in size is placed 30 cm in front of a convex mirror of focal length 15 cm. Find the nature, position and the size of the image formed. Draw a ray diagram to show the formation of the image in this case.
Asked by shivrajminhas2006 | 03 Jun, 2022, 01:49: PM
answered-by-expert Expert Answer
We have mirror equation as given below
 
(1/v) + (1/u) = 1/f
 
where v is mirror-to-image distance , u is mirror-to-object distance and f is focal length.
 
u = - 30 cm ( Cartesian sign convention is followed ) and f = 15 cm
 
hence we get
 
1/v = (1/15) + (1/30) = 1/10
 
hence image is formed 10 cm behind mirror
 
Magnification m = - (v/u) = - [ 10 / (-30) ] = 1/3
 
image is virtual , diminished and erect
 
size of image = 2 × (1/3) = 2/3 cm
 
Ray diagram is given below
 
Answered by Thiyagarajan K | 03 Jun, 2022, 02:37: PM

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