Question

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

• A. \( if \)
• B. \( \frac{f^2}{i} \)
• C. \( \frac{f}{i} \)
• D. \( f \times i \)

Hint:

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.

Answer 1

The Correct Option is C

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) \( \frac{f}{i} \).