Given below are four statements-

(p) The second principal focus of a lens is the position of the object, real or virtual whose image is at infinity.

(q) The second principal focus of a lens is the position of the image, real or virtual whose object is at infinity.

(r) The first principal focus of a lens is the position of the object, real or virtual whose image is at infinity.

(s) The first principal focus of a lens is the position of the image, real or virtual whose object is at infinity. 

Examine the above statements and find which among then are correct. 

This question was previously asked in
ALP CBT 2 Physics and Maths Previous Paper 2 (Held On: 21 Jan 2019 Shift 2)
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  1. (q) & (r)
  2. (p) & (s)
  3. (q) & (s)
  4. (p) & (r)

Answer (Detailed Solution Below)

Option 1 : (q) & (r)
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Detailed Solution

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CONCEPT:

  • Nature, position, and relative size of the image formed by a convex lens for various positions of the object:-

Position of the object

Position of the image

The relative size of the image

Nature of the image

At infinity

At focus F2

Highly diminished, point-sized

Real and inverted

Beyond 2F1

Between F2 and 2F2

Diminished

Real and inverted

At 2F1

At 2F2

Same size

Real and inverted

Between F1 and 2F1

Beyond 2F2

Enlarged

Real and inverted

At focus F1

At infinity

Infinitely large or highly enlarged

Real and inverted

Between focus Fand optical center O

On the same side of the lens as the object

Enlarged

Virtual and erect
 

EXPLANATION:

  • From the above discussion, we can say that, statements q and r are correct. So option 1 is correct.
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