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CBSE Class 10 Answered

the magnification produced by a spherical lens is 1/3.if the image is formed at distance of 10cm from the lens,find the position of object . also find the nature and focal length of the lens.
Asked by bcnandi | 06 Nov, 2019, 07:36: PM
answered-by-expert Expert Answer
magnification = v/u = 10/u = 1/3 
where v is lens-to-image distance, u is lens-to-object distance .
 
For spherical lens, u is negative by sign convention , Hence from above eqn, v = -10 cm and u = -30 cm
 
we have lens equation, ( 1/ v ) - (1/u) = 1/f  or  (-1/10) + (1/30) = 1/f   or  f = -15 cm
 
Position of the image , v = -10 cm  (  image is formed at same sie of object )
 
focal length -15 cm , since focal length is -ve, this spherical lens is concave lens (diverging lens )
Answered by Thiyagarajan K | 06 Nov, 2019, 11:37: PM

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