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Two thin convex lenses of focal lengths f1 and f2 are separated by a horizontal distance d ( where d centres are displaced by a vertical separation ? as shown in the figure. Taking the origin of coordinates, O, at the centre of the first lens, the x and y coordinates of the focal point of the lens system, for a parallel beam of rays coming from the left, are given by ( a ) x = 1 2 1 2 f f f f + , y = ? ( b ) x = d ( d ) 1 2 1 2 f f - f f + + , y = 1 2 2 ? f + f ( c ) x = d d ( d ) 1 2 1 2 1 - - f f f f f + + , y = d ? ( d ) 1 2 1 - - f f f + ( d ) x = d d ( d ) 1 2 1 2 1 - - f f f f f + + , y = 0

Two thin convex lenses of focal
lengths f1 and f2 are separated
by a horizontal distance d ( where
d < f1 and d < f2 ), and their
centres are displaced by a vertical
separation ? as shown in the
figure. Taking the origin of
coordinates, O, at the centre of
the first lens, the x and y
coordinates of the focal point of the lens system, for a parallel beam of rays coming
from the left, are given by
( a ) x =
1 2
1 2
f f
f f
+
, y = ? ( b ) x =
d
( d )
1 2
1 2
f f -
f f
+
+
, y =
1 2
2
?
f + f
( c ) x =
d
d ( d )
1 2
1 2 1
-
-
f f
f f f
+
+
, y =
d
? ( d )
1 2
1
-
-
f f
f
+
( d ) x =
d
d ( d )
1 2
1 2 1
-
-
f f
f f f
+
+
, y = 0

Grade:12

1 Answers

Aman Bansal
592 Points
12 years ago

Dear Rajen,

he answer is : x=(f1f2+d(f1-d))/(f1+f2-d) , y=r(f1-d)/(f1+f2-d)

Best Of luck

Plz Approve the answer...!!!!

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