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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 simple microscope is rated at 5 X for a normal relaxed eye....

A simple microscope is rated at 5 X5 \text{ X} for a normal relaxed eye. Determine its magnifying power for a relaxed farsighted eye that has a near point of 40 cm40 \text{ cm}.

Options

  1. A12.5 X12.5 \text{ X}
  2. B8 X8 \text{ X}
  3. C6.4 X6.4 \text{ X}
  4. D10 X10 \text{ X}

Correct answer

B. 8 X8 \text{ X}

Step-by-step solution

The magnifying power of a simple microscope for a relaxed eye (image at infinity) is given by M=DfM = \dfrac{D}{f}, where DD is the near point of the observer's eye and ff is the focal length of the lens.

For a normal eye, the near point is D=25 cmD = 25 \text{ cm}. Given that the magnifying power is 5 X5 \text{ X}, we have:

5=25f⇒f=5 cm5 = \dfrac{25}{f} \Rightarrow f = 5 \text{ cm}

For a farsighted eye with a near point D′=40 cmD' = 40 \text{ cm}, the magnifying power for a relaxed eye will be:

M′=D′f=405=8M' = \dfrac{D'}{f} = \dfrac{40}{5} = 8

Thus, the magnifying power is 8 X8 \text{ X}.
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