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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 person wears glasses with a power of -2.5 D . Is the person...

A person wears glasses with a power of −2.5 D-2.5 \text{ D}. Is the person farsighted or nearsighted, and what is the far point of the person without the glasses?

Options

  1. AFarsighted, 40 cm40 \text{ cm}
  2. BNearsighted, 40 cm40 \text{ cm}
  3. CNearsighted, 250 cm250 \text{ cm}
  4. DFarsighted, 250 cm250 \text{ cm}

Correct answer

B. Nearsighted, 40 cm40 \text{ cm}

Step-by-step solution

The power of the lens is given as P=−2.5 DP = -2.5 \text{ D}.

Since the power is negative, the lens is concave. A concave lens is used to correct nearsightedness (myopia).

The focal length of the lens is given by f=1P=1−2.5 m=−0.4 m=−40 cmf = \dfrac{1}{P} = \dfrac{1}{-2.5} \text{ m} = -0.4 \text{ m} = -40 \text{ cm}.

For a nearsighted eye, the corrective lens forms a virtual image of an object at infinity at the person's far point.

Using the lens formula 1v−1u=1f\dfrac{1}{v} - \dfrac{1}{u} = \dfrac{1}{f} with u=−∞u = -\infty, we get v=f=−40 cmv = f = -40 \text{ cm}.

The far point of the person without glasses is 40 cm40 \text{ cm}.
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