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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Optical Instruments

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Optical Instruments

A normal eye has its retina positioned 2 cm behind the eye-lens....

A normal eye has its retina positioned 2 cm2 \text{ cm} behind the eye-lens. Determine the power of the eye-lens when the eye is most strained.

Options

  1. A50 D50 \text{ D}
  2. B60 D60 \text{ D}
  3. C46 D46 \text{ D}
  4. D54 D54 \text{ D}

Correct answer

D. 54 D54 \text{ D}

Step-by-step solution

The image distance for the eye-lens is the distance to the retina, so v=2 cm=+0.02 mv = 2 \text{ cm} = +0.02 \text{ m}.

When the eye is most strained, it focuses on an object placed at the near point. For a normal eye, the near point is at 25 cm25 \text{ cm}.

The object distance is u=−25 cm=−0.25 mu = -25 \text{ cm} = -0.25 \text{ m}.

Using the lens formula, the power PP of the eye-lens is given by:

P=1f=1v−1uP = \dfrac{1}{f} = \dfrac{1}{v} - \dfrac{1}{u}

P=10.02−1−0.25P = \dfrac{1}{0.02} - \dfrac{1}{-0.25}

P=50+4=54 DP = 50 + 4 = 54 \text{ D}
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