Arrange the following in the correct order for image formation by a convex lens when the object is between F and 2F.
A. Refraction of rays through lens occurs.
B. Rays converge on opposite side
C. Image is formed beyond 2F
D. Rays are incident on lens
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → D, A, B, C
A convex lens forms an image by refraction: the rays first reach the lens, bend at its surfaces and then converge on the other side. For an object between F and 2F, the real image forms beyond 2F.
(D) Rays are incident on lens — the rays from the object must first reach the lens.
(A) Refraction of rays through lens occurs. — the rays bend at the two surfaces of the lens.
(B) Rays converge on opposite side — the refracted rays meet on the far side of the convex lens.
(C) Image is formed beyond 2F — the rays meet beyond 2F because the object lies between F and 2F. For example, with f = 10 cm and u = −15 cm the lens formula gives an image at 30 cm, beyond 2F = 20 cm:
\( \displaystyle \frac{1}{v} = \frac{1}{f} + \frac{1}{u} = \frac{1}{10} - \frac{1}{15} = \frac{1}{30} \)
So the correct order is D, A, B, C.