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Error Propagation

Total questions: 10

Worksheet time: 13mins

Name
Class
Date
1.

Systematic errors lead to a lack of:

a)

accuracy in the measurement.

b)

significant digits in the measurement.

c)

precision in the measurement.

d)

gradation of the measuring instrument

2.

Random errors lead to a lack of:

a)

accuracy in the measurement.

b)

significant digits in the measurement.

c)

precision in the measurement.

d)

gradation of the measuring instrument

3.

What is the mass and uncertainty indicated by this electronic balance?

a)

198.61 ± 0.01 g

b)

198.61 ± 0.02 g

c)

198.61 ± 0.05 g

d)

198.61 ± 0.005 g

4.

What is the uncertainty in newtons for this scale on a force spring scale?

a)

± 0.03 N

b)

± 0.1 N

c)

± 0.05 N

d)

± 0.01 N

5.

The length of the side of a cube is 2.0 cm ± 4 %. The mass of the cube is 24.0 g ± 8 %. What is the percentage uncertainty of the density of the cube?

a)

± 2 %

b)

± 8 %

c)

± 12 %

d)

± 20 %

6.
Calculate the absolute uncertainty of this measurement:
2.64A±1.5%
a)
±1.5A
b)
±0.04A
c)
±3.96A
d)
±0.396
7.

Work out the following calculation and quote the final answer with an absolute uncertainty.


67.2 ± 0.1 + 38.5 ± 0.3

4 lines
8.

Work out the following calculation and quote the final answer with an absolute uncertainty.


0.0257 ± 0.002 – 0.0120 ± 0.002

4 lines
9.

Work out the percentage uncertainties for each of the following quantity.

20.2 ± 0.1

a)

0.004%

b)

0.0495%

c)

0.5%

d)

None of the above

10.

Which of the following measurements have been quoted with respect to uncertainty correctly? Check all that apply.

a)

0.1930 ± 0.0001

b)

63.27 ± 5

c)

10.9 ± 0.12

d)

118 ± 5