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Hi sir/mam How can I solve this problem ?
question image
Asked by sreekumar1974 | 24 Dec, 2019, 12:01: AM
answered-by-expert Expert Answer
We have equation of refraction in spherical surface as
 
( n2 / v ) - ( n1 / u ) = ( n2 - n1) /R  ......................(1)
 
where n1 is refractive index of medium of incident light ray .
 
In this question, n1 is refractive index of air , n1 =1
 
n2 is refractive index of refracting medium , in this case we assume n2 = 1.5 , is refractive index of glass
 
R is the Radius of curvature of spherical surface, v is image distance and u is object distance
 
hence using eqn.(1),  we have,  ( 1.5 / v ) +(1/10) = ( 0.5 / 10)  .................(2)
 
In eqn.(2), Cartesian sign convention is used so that object distanve u is negative.
 
From eqn.(2), we get, image distance v  = - 30 cm
 
Answered by Thiyagarajan K | 24 Dec, 2019, 09:37: AM

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