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A small telescope has an objective lens of focal length 140 cm and an eyepiece of focal length 5.0 cm. What is the magnifying power of the telescope for viewing distant objects when (a) the telescope is in normal adjustment (i.e., when the final image is at infinity)? (b) the final image is formed at the least distance of distinct vision (25 cm)?

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Class 12 Physics
CBSE and UP Board
Ray Optics and Optical Instruments
Chapter-9 Exercise 9.34
NCERT Solutions for Class 12 Physics Chapter 9 Question-34

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1 Answer

  1. Focal length of the objective lens, f0 = 140 cm

    Focal length of the eyepiece, fe = 5 cm

    Least distance of distinct vision, d = 25 cm

    Ans (a).

    When the telescope is in normal adjustment, its magnifying power is given as:

    m = f0/fe =140/5 = 28

    Ans (b).

    When the final image is formed at d, the magnifying power of the telescope is given as:

    m = f0/f[1 + fe/d]

    = 140/5 [1 + 5/25] = 28 [1+ 0.2] =28 x 1.2 = 33.6

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