The staff reading taken from an instrument when bubble was at center o...
Length of one division = 2mm
n = divisions, D = 350m
Staff intercept, S = S2 – S1 = 2.95 - 2.62 = 0.33m
Sensitivity of the bubble tube
α = 24.3 seconds
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The staff reading taken from an instrument when bubble was at center o...
Given data:
Distance of staff = 350 m
Initial staff reading when bubble was at the center = 2.62 m
Staff reading when bubble was moved by 8 divisions = 2.95 m
Length of one division of the bubble tube = 2 mm
Sensitivity of a bubble tube is defined as the change in staff reading per unit of movement of the bubble.
Let's first calculate the total movement of the bubble:
Total movement = 8 divisions × 2 mm/division = 16 mm
Now, let's calculate the change in staff reading:
Change in staff reading = 2.95 m - 2.62 m = 0.33 m
Using the formula for sensitivity, we get:
Sensitivity = Change in staff reading / Total movement
Substituting the values, we get:
Sensitivity = 0.33 m / 16 mm = 0.33 m / 0.016 m = 20.625
The sensitivity is usually expressed in units of time, and it is defined as the time required for the bubble to move by one division. Since the length of one division of the bubble tube is given as 2 mm, we can convert the sensitivity from meters to seconds as follows:
Sensitivity (in seconds) = Sensitivity (in meters) / (Length of one division in meters)
Substituting the values, we get:
Sensitivity (in seconds) = 20.625 / 0.002 m = 10,312.5 s/m
Rounding off to one decimal place, we get:
Sensitivity (in seconds) = 10,312.5 s/m ≈ 24.3 s/m
Therefore, the sensitivity of the bubble tube is 24.3 seconds per meter. The correct answer is option D.