A simple telescope used to view distant objects has eyepiece and objective lens of focal lengths and , respectively. Then
| Column I | Column II |
|---|---|
| (A) Intensity of light received by lens | (P) Radius of aperture (R) |
| (B) Angular magnification | (Q) Dispersion of lens |
| (C) Length of telescope | (R) focal length |
| (D) Sharpness of image | (S) spherical aberration |
Answer: A → I, B → III, C → III, D → I, D → II, D → IV
Solution
(A) Intensity of light received: Depends on the area of the aperture, which is proportional to . Matches (P).
(B) Angular magnification: For a telescope, . Matches (R).
(C) Length of telescope: For normal adjustment, . Matches (R).
(D) Sharpness of image: Affected by aperture size (larger aperture gives better resolution), chromatic aberration (dispersion), and spherical aberration. Matches (P), (Q), and (S).
Pairs: (A)→(P), (B)→(R), (C)→(R), (D)→(P),(Q),(S)
(B) Angular magnification: For a telescope, . Matches (R).
(C) Length of telescope: For normal adjustment, . Matches (R).
(D) Sharpness of image: Affected by aperture size (larger aperture gives better resolution), chromatic aberration (dispersion), and spherical aberration. Matches (P), (Q), and (S).
Pairs: (A)→(P), (B)→(R), (C)→(R), (D)→(P),(Q),(S)
JEE Advanced · 2006 · 09 Apr 2006 · Match the columns