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A astronomical telescope has objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance:

Options

  1. A37.3     cm
  2. B46.0     cm
  3. C50.0     cm
  4. D54.0     cm

Correct answer

D. 54.0     cm

Step-by-step solution

1 V - 1 - 200 = 1 40 1 V = 5 5 1 40 - 1 200 = 5 200 - 1 200 1 V = 4 200 = 1 50 V = 50 ∴ d = 50 + 4 = 54   c m

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