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 A LUMINOUS OBJECT IS PLACED AT A DISTANCE OF 30CM FROM THE CONVEX LENS OF FOCAL LENGTH 20CM.ON THE OTHER SIDE OF THE LENS,AT WHAT DISTANCE FROM THE LENS A CONVEX MIRROR OF RADIUS OF CURVATURE 10CM BE PLACED IN ORDER TO HAVE AN UPRIGHT IMAGE OF THE OBJECT COINCIDENT WITH IT?A-12CM,B-30CM,C-50CM,D-70CM

Asked by Priyanka 13th November 2017, 4:04 PM
Answered by Expert
Answer:
begin mathsize 12px style 1 over v minus 1 over u equals 1 over f
fraction numerator begin display style 1 end style over denominator begin display style v end style end fraction minus fraction numerator begin display style 1 end style over denominator begin display style negative 30 end style end fraction equals fraction numerator begin display style 1 end style over denominator begin display style 20 end style end fraction
v equals 60 c m

t h e y space w i l l space c o i n c i d e space i f space t h e space r a y s space f r o m space t h e space l e n s space i n c i d e n t space o n space t h e space m i r r o r space a t space a space p o i n t space a t space
w h i c h space i f space t h e y space a r e space t r a c e d space b a c k w a r d space t h e y space p a s s e s space t h r o u g h t space t h e space c e n t r e space o f space t h e space m i r r o r space a l o n g space t h e space p a t h space o f space r a d i u s space o f space c u r v a t u r e

R equals 10 c m
t h e r e f o r e space comma space d i s tan c e space a t space w h i c h space f r o m space t h e space l e n s space a space c o n v e x space m i r r o r space o f space r a d i u s space o f space c u r v a t u r e space 10 space c m space b e space p l a c e d space
equals space 60 minus 10 equals space 50 space c m. end style
Answered by Expert 6th December 2017, 4:15 PM
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