Question

When an object is placed between the optical center and focus of the convex lens:
A) The inverted, real, and the enlarged image is formed.
B) The virtual, erect, and the enlarged image is formed.
C) Inverted, erect, and the diminished image is formed.
D) Virtual, real, and the diminished image is formed.

Answer 1

Hint: Use the rules of image formation by the lens and draw the ray diagram when an object is placed between the optical center and focus of the lens. From the ray diagram, we can answer the nature and size of the image so formed.

Complete step by step answer:
Since the given lens is convex, so to draw the ray diagram steps are as following –
(i) Draw the convex lens and principal axis. Mark the various points like the optical center and principal focus.
(ii) Now place the object between the optical center and focus of the convex lens.
(iii) A ray of light that is parallel to the principal axis will pass through the principal focus after refraction through the lens.
(iv) A ray of light that passes through the optical center will keep going on in the same direction without any deflection.
(v) The image will form at a point where these two rays meet.
(vi) The rays of light do not actually meet after refraction through the lens but they appear to meet virtually on the same side of the object.
The ray diagram is as follows:

Since the rays of light do not actually meet but appear to meet virtually. Hence the image is Virtual. A virtual image is always an erect image and from the ray diagram, it is clear that the image is enlarged in size.

Therefore the correct answer is option B i.e. virtual, erect, and the enlarged image is formed.

Note:
Always remember the rules of image formation by the lens which are as follows-
A ray of light which is originally parallel to the principal axis passes through the focus after refraction through the lens.
A ray of light passing through the optical center of the convex lens does not bend after refraction but goes straight. Also, a ray of light going along the path of the principal axis of a convex lens also goes straight and does not deviate.
When a ray of light passes through the focus of the convex lens then it becomes parallel to the principal axis after refraction through the lens.