Question:

The multiplying constant of a Tacheometer, where \( f \) is the focal length and \( i \) is the distance between the stadia hairs, is

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In Tacheometry, the multiplying constant is crucial for converting stadia readings into distances. It is the ratio of focal length to the distance between stadia hairs.
Updated On: Dec 1, 2025
  • \( if \)
  • \( \frac{f^2}{i} \)
  • \( \frac{f}{i} \)
  • \( f \times i \)
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The Correct Option is C

Solution and Explanation

The multiplying constant in a Tacheometer is given by the ratio of the focal length \( f \) to the distance between the stadia hairs \( i \). This constant is used to calculate distances based on the observed readings in Tacheometry.
Step 1: Formula for Multiplying Constant
The multiplying constant is calculated using the formula: \[ \text{Multiplying constant} = \frac{f}{i}, \] where \( f \) is the focal length and \( i \) is the distance between the stadia hairs.
Thus, the correct answer is (C) \( \frac{f}{i} \).
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