Q25
2 marksVery Short AnswerSection B

A person suffering from presbyopia needs bifocal lens. If he needs two lens of power - 4.0 dioptre and + 2.0 dioptre, which one of these two lenses is for the correction of distant vision and what is its focal length?

The Human Eye and the Colourful World
Defects of Vision and Their Correction
Official Answer

The lens with power P=4.0 DP = -4.0\text{ D} is used for the correction of distant vision. Its focal length is 0.25 m-0.25\text{ m} (or 25 cm-25\text{ cm}).

distant visionconcave lensnegative powerfocal length-0.25 m-25 cm

Marking Scheme

  • 1Identifying that the lens with power P=4.0 DP = -4.0\text{ D} is used for distant vision (1 mark)
  • 2Calculating the focal length correctly as f=0.25 mf = -0.25\text{ m} or 25 cm-25\text{ cm} using the formula f=1/Pf = 1/P (1 mark)

Hint

Distant vision correction requires a diverging (concave) lens, which always has a negative power value. Use f=1/Pf = 1/P to find the focal length.

Quick Oral Answer

The lens with negative power, 4.0 D-4.0\text{ D}, is used for distant vision because it is a concave lens. Its focal length is calculated as 1/41 / -4, which equals 0.25 m-0.25\text{ m} or 25 cm-25\text{ cm}.

Analysis & Explanation

Presbyopia is an age-related defect where the power of accommodation decreases. When a person suffers from both myopia (inability to see distant objects clearly) and hypermetropia (inability to see near objects clearly), they require bifocal lenses. The upper part of a bifocal lens is a concave lens (negative power) to assist with distant vision, while the lower part is a convex lens (positive power) to assist with reading or near vision. Thus, the 4.0 D-4.0\text{ D} lens is concave and meant for distant vision, whereas the +2.0 D+2.0\text{ D} lens is convex and meant for near vision.

Common Mistakes

  1. 1Forgetting the negative sign in the focal length calculation.
  2. 2Confusing positive power (+2.0 D) with distant vision correction.

Interesting Facts

Bifocal lenses were famously invented by Benjamin Franklin in the 18th century so he wouldn't have to constantly switch between two pairs of glasses!

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Frequently Asked Questions

How many marks does this question carry in CBSE Class 10 Science 2024?

This question carries 2 marks in the CBSE Class 10 Science 2024 examination.

Which chapter does this question come from in Science?

This question is from the chapter "The Human Eye and the Colourful World" in the CBSE Class 10 Science syllabus.

What topic does this question cover in Science?

This question covers the topic "Defects of Vision and Their Correction" from CBSE Class 10 Science.

What type of question is this in the CBSE Class 10 Science 2024 paper?

This is a Very Short Answer question from Section B in the CBSE Class 10 Science 2024 paper.