Published by:
CGP EDU Academic Team
Published on: September 12, 2026
An equiconvex lens is cut into two halves along (i) XOX ′ ′ and (ii) YOY ′ ′ as shown in the figure. Let f, f ′ ′ , f ′ ′ ′ ′ be the focal lengths of the complete lens, of each half in case (i), and of each half in case (ii), respectively
Choose the correct statement from the following
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Step 1: Analyze the lens behavior when cut along different axes.
Step 2: For XOX', each half acts as a thinner lens in terms of curvature, leading to a focal length f"/2 compared to the original focal length f.
Step 3: For YOY', the behavior is similar; hence, each half has a focal length of f""", which is also f/2.
Step 4: Therefore, it follows that for both cases, we can conclude B is the correct option, stating a relationship between the focal lengths.
Step 2: For XOX', each half acts as a thinner lens in terms of curvature, leading to a focal length f"/2 compared to the original focal length f.
Step 3: For YOY', the behavior is similar; hence, each half has a focal length of f""", which is also f/2.
Step 4: Therefore, it follows that for both cases, we can conclude B is the correct option, stating a relationship between the focal lengths.
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