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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Geometrical Optics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Geometrical Optics

A convex lens has a focal length of 10 cm . Determine the location...

A convex lens has a focal length of 10 cm10 \text{ cm}. Determine the location and nature of the image when a point object is positioned on the principal axis at a distance of 10.2 cm10.2 \text{ cm} from the lens.

Options

  1. A510 cm510 \text{ cm} on the side of the object, virtual
  2. B490 cm490 \text{ cm} on the side of the object, virtual
  3. C490 cm490 \text{ cm} on the other side, real
  4. D510 cm510 \text{ cm} on the other side, real

Correct answer

D. 510 cm510 \text{ cm} on the other side, real

Step-by-step solution

Given focal length of the convex lens, f=+10 cmf = +10 \text{ cm}

Object distance, u=−10.2 cmu = -10.2 \text{ cm}

Using the lens formula:

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

1v−1−10.2=110\dfrac{1}{v} - \dfrac{1}{-10.2} = \dfrac{1}{10}

1v=110−110.2\dfrac{1}{v} = \dfrac{1}{10} - \dfrac{1}{10.2}

1v=10.2−1010×10.2\dfrac{1}{v} = \dfrac{10.2 - 10}{10 \times 10.2}

1v=0.2102=1510\dfrac{1}{v} = \dfrac{0.2}{102} = \dfrac{1}{510}

v=+510 cmv = +510 \text{ cm}

Since vv is positive, the image is real and formed at a distance of 510 cm510 \text{ cm} on the other side of the lens.
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