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If the staff intercept on a staff located at 100m from the level for five divisions deviation of the bubble is 0.050m and if the length of one division of the bubble is 2mm, then the radius of curvature of the bubble tube is
  • a)
    20m
  • b)
    20.20m
  • c)
    20.40m
  • d)
    20.80m
Correct answer is option 'A'. Can you explain this answer?
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Given data:
- Distance of staff from the level = 100m
- Deviation of the bubble for five divisions = 0.050m
- Length of one division of the bubble = 2mm

To find:
- Radius of curvature of the bubble tube

Formula used:
- Radius of curvature = (distance of staff from the level)^2 / (12 x deviation of bubble for five divisions x length of one division of the bubble)

Calculation:
- Radius of curvature = (100)^2 / (12 x 0.050 x 2) = 20m

Therefore, the radius of curvature of the bubble tube is 20m.

Explanation:
- The bubble tube in a level is curved. The curvature of the bubble tube is usually such that the bubble moves a certain amount for a given tilt of the level.
- The radius of curvature of the bubble tube is the radius of the circle that the tube would fit if it were a section of a circle.
- The formula used to calculate the radius of curvature of the bubble tube takes into account the distance of the staff from the level, the deviation of the bubble for five divisions, and the length of one division of the bubble.
- By plugging in the given values into the formula, we get the radius of curvature of the bubble tube as 20m.
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