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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

An astronomical telescope's eyepiece has a focal length of 10 cm ....

An astronomical telescope's eyepiece has a focal length of 10 cm10 \text{ cm}. When the telescope is focussed for normal vision of distant objects, the tube length is 1.0 m1.0 \text{ m}. Determine the focal length of the objective and the magnifying power of the telescope.

Options

  1. A100 cm100 \text{ cm}, 1010
  2. B90 cm90 \text{ cm}, 99
  3. C110 cm110 \text{ cm}, 1111
  4. D90 cm90 \text{ cm}, 1010

Correct answer

B. 90 cm90 \text{ cm}, 99

Step-by-step solution

For normal vision, the final image is formed at infinity. The tube length of the telescope is given by L=fo+feL = f_o + f_e.

Given L=1.0 m=100 cmL = 1.0 \text{ m} = 100 \text{ cm} and fe=10 cmf_e = 10 \text{ cm}.

100=fo+10100 = f_o + 10

fo=90 cmf_o = 90 \text{ cm}

The magnifying power of the telescope for normal vision is given by M=fofeM = \dfrac{f_o}{f_e}.

M=9010=9M = \dfrac{90}{10} = 9
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