Two thin convex lenses of focal lengths f 1 and f 2 are separated by a horizontal distance d (d < f 1 and d < f 2 ) and their centres are displaced by a vertical separation Δ as shown in Fig. Taking the origin of coordinates O at the centre of first lens, what would be the x and y-coordinates of the focal point of this lens system for a parallel beam of rays coming from left?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. The parallel rays will be focused at the focal point of the lens. The first image lies at I, at a distance f 1 from the origin. This image I 1 will act as an object for refraction through the second lens. The object distance for the second lens, u = (f 1 – d).
From lens equation, 
– 
= 
v = 
Hence, the x-coordinate of final image I 2 is
x = d + v = 
= 
Image an arrow tip is at f 1 ; its image from lens f 1 is the final image.
Magnification, m = 
= 
= 
I 2 = 
Δ = 
Δ
Thus y-coordinate of tip of I 2
Δ – I 2 = Δ 
= 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems