The diagram shows the outer diameter of three similar rings measured by a meter scale. If the
initial and final reading on the scale is taken as 0 ± 0.2 and 6 ± 0.2, then the uncertainty in the
diameter of each ring is
A. 2.0 ± 0.02 cm
B. 2.0 ± 0.04 cm
C. 2.0 ± 0.1 cm
D. 2.0 ± 0.3 cm
Answers
Answer:
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Explanation:
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Answer:
c) 2.0 ± 0.04cm
Explanation:
Absolute uncertainties are added (±0.2) + (±0.2) = ±0.4
and the distance x determined by the difference between initial and final reading.
x1 = 0 , x2 = 6
So the difference will be
x = x2 - x1
x = 6 - 0
x = 6
So, 6 ± 0.4
Now we have to find diameter of each ring. We have 3 rings and to find the diameter of each ring we have to divided by this value by 3.
(6 ÷ 3) ± ( 0.4 ÷ 3)
2 ± 0.1
So the correct answer is c) 2.0 ± 0.1 cm