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Let the focal length of an eye-piece be 2.5 cm. For a telescope of magnification 100, the focal length of the objective should be:
  • a)
    250 cm
  • b)
    40 cm
  • c)
    2.5 × 10-2 cm
  • d)
    100 cm
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Let the focal length of an eye-piece be 2.5 cm. For a telescope of mag...
Calculation of Focal Length of Objective:
To determine the focal length of the objective for a telescope of magnification 100, we can use the formula for the magnification of a telescope:
Magnification = - (Focal Length of Objective) / (Focal Length of Eye-piece)
Given that the focal length of the eye-piece is 2.5 cm and the magnification is 100, we can plug in these values into the formula:
100 = - (Focal Length of Objective) / 2.5

Solving for Focal Length of Objective:
By rearranging the formula, we can solve for the focal length of the objective:
Focal Length of Objective = - (100) * 2.5
Focal Length of Objective = - 250 cm
Therefore, the focal length of the objective should be 250 cm to achieve a magnification of 100 for the telescope.

Conclusion:
The correct answer is option 'A' (250 cm).
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Community Answer
Let the focal length of an eye-piece be 2.5 cm. For a telescope of mag...
  • Magnification produced by a spherical mirror or lens gives the relative extent to which an object is magnified with respect to the object's size.
  • Magnification is the ratio of the objective's focal length to the eyepiece's focal length.
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