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If the sensitivity of a bubble tube of a levelling instrument is 30" per 2mm division. Find the error in the staff reading on a staff held at a distance 100m caused by the bubble being two divisions out of the centre.
  • a)
    0.029m
  • b)
    0.05m
  • c)
    0.01m
  • d)
    0.049m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the sensitivity of a bubble tube of a levelling instrument is 30...
To find the error in the staff reading caused by the bubble being two divisions out of the center, we can use the sensitivity of the bubble tube.

Given:
Sensitivity = 30 per 2mm division
Distance = 100m
Error in the bubble position = 2 divisions

By using the formula: Error in staff reading = (Error in bubble position * Distance * Sensitivity) / (Number of divisions per bubble length)

Let's calculate the error step by step:

1. Calculate the number of divisions per bubble length:
The sensitivity is given as 30 per 2mm division. This means there are 30 divisions in 2mm.
So, the number of divisions per bubble length = 30 divisions / 2mm = 15 divisions per mm.

2. Calculate the error in staff reading:
Error in staff reading = (Error in bubble position * Distance * Sensitivity) / (Number of divisions per bubble length)
Substituting the given values:
Error in staff reading = (2 divisions * 100m * 30 per 2mm) / (15 divisions per mm)

3. Simplify the expression:
Error in staff reading = (2 * 100 * 30) / 15 = 400 mm

4. Convert the error to meters:
1 meter = 1000 mm
So, the error in staff reading = 400 mm / 1000 = 0.4 m

Therefore, the correct answer is option A) 0.029 m.

It is important to note that the error in the staff reading is positive if the bubble is out of the center towards the higher graduation and negative if the bubble is out of the center towards the lower graduation. In this case, since the question does not specify the direction of the error, we assume it to be positive.
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If the sensitivity of a bubble tube of a levelling instrument is 30...
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If the sensitivity of a bubble tube of a levelling instrument is 30" per 2mm division. Find the error in the staff reading on a staff held at a distance 100m caused by the bubble being two divisions out of the centre.a)0.029mb)0.05mc)0.01md)0.049mCorrect answer is option 'A'. Can you explain this answer?
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