Free Printable Uncertainties

1.

The resistance R of a resistor is determined by measuring the potential difference V across it and the current I in it. The value of R is then calculated using the equation

$R=\frac{V}{I}$ .
The values measured are V = 1.00 ± 0.05 V and I = 0.50 ± 0.01 A. What is the % uncertainty in the value of R?

a)

2.5 %

b)

3.0 %

c)

7.0 %

d)

10.0 %

2.

In an experiment, a radio-controlled car takes 2.50 ± 0.05 s to travel 40.0 ± 0.1 m.

What is the car’s average speed and the uncertainty in this value?

a)

16 ± 1m s^-1

b)

16.0 ± 0.2 m s^-1

c)

16.0 ± 0.4 m s^-1

d)

16.00 ± 0.36 m s^-1

3.

In an experiment to determine the acceleration of free fall g, the period of oscillation T and length l of a simple pendulum were measured. The uncertainty in the measurement of l is estimated to be 4%, and the uncertainty in the measurement of T is estimated to be 1%.

The value of g is determined using the formula $g=\frac{4\pi^2l}{T^2}$

What is the uncertainty in the calculated value for g?

a)

2 %

b)

3 %

c)

5 %

d)

6 %

4.

An experiment is carried out to measure the resistance of a wire.

The current in the wire is (1.0 ± 0.2) A and the potential difference across the wire is (8.0 ± 0.4) V.

What is the resistance of the wire and its uncertainty?

a)

(8.0 ± 0.2) Ω

b)

(8.0 ± 0.6) Ω

c)

(8 ± 1) Ω

d)

(8 ± 2) Ω

5.

A thermometer can be read to an accuracy of ±0.5 °C. This thermometer is used to measure a temperature rise from 40 °C to 100 °C.

What is the percentage uncertainty in the measurement of the temperature rise?

a)

0.5 %

b)

0.8 %

c)

1.3 %

d)

1.7 %

6.

A digital caliper is used to measure the 28.50 mm width of a plastic ruler. The digital caliper reads to the nearest 0.01 mm.

What is the correct way to record this reading?

a)

0.02850 ± 0.01 m

b)

0.0285 ± 0.001 m

c)

(2.850 ± 0.001) × 10^-2m

d)

(2.850 ± 0.001) × 10^-3m

7.

A student determines the density ρ of steel by taking measurements from a steel wire.

mass m = 6.2 ± 0.1 g
length l = 25.0 ± 0.1cm
diameter d = 2.00 ± 0.01mm

He uses the equation $\rho=\frac{4m}{\pi d^2l}$ .
What is the percentage uncertainty in his calculated value of density?

a)

1.1 %

b)

1.8 %

c)

2.5 %

d)

3.0 %

8.

A quantity x is to be determined from the equation

x = P-Q.

P is measured as 1.27 ± 0.02 m and Q is measured as 0.83 ± 0.01 m.

What is the percentage uncertainty in x to one significant figure?

a)

0.4 %

b)

2 %

c)

3 %

d)

7 %

9.

A micrometer screw gauge is used to measure the diameter of a small uniform steel sphere. The micrometer reading is 5.00mm ± 0.01mm.

What will be the percentage uncertainty in a calculation of the volume of the sphere, using these values?

a)

0.2 %

b)

0.4 %

c)

0.6 %

d)

1.2 %

10.

The power loss P in a resistor is usually calculated using the formula $P=\frac{V^2}{R}$
The percentage uncertainty in the potential difference V is 3 % and the percentage uncertainty in the resistance R is 2 %. What is the percentage uncertainty in P?

a)

4 %

b)

7 %

c)

8 %

d)

11 %

11.

Decide the number of significant figures: 409.10

a)

3

b)

4

c)

5

d)

6

12.

Decide the number of significant figures: 4091.00

a)

3

b)

4

c)

5

d)

6

13.

Decide the number of significant figures:

308,000

a)

3

b)

4

c)

5

d)

6

14.

Decide the number of significant figures:

30,860

a)

3

b)

4

c)

5

d)

6

15.

Decide the number of significant figures:

0.00056030

a)

3

b)

4

c)

5

d)

6

16.

Which is the correct symbol of prefix of 10 ^-12?

a)

f

b)

p

c)

G

d)

M

17.

Which is the correct symbol of prefix for 10 ⁶?

a)

f

b)

p

c)

G

d)

M

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

8%

b)

12%

c)

14%

d)

20%

21.

a)

2%

b)

5%

c)

7%

d)

10%

22.

a)

0.25%

b)

5%

c)

10%

d)

25%

23.

The first length measured in a laboratory experiment is 2.5 + 0.1 m and the second length 3.4 + 0.1 m. What is the uncertainty of the sum of the lengths?

a)

0.1 m

b)

0.2 m

c)

0.3 m

d)

0.4 m

24.

The first length measured in a laboratory experiment is 2.5 + 0.1 m and the second length 3.4 + 0.1 m. What is the uncertainty of the difference in the lengths?

a)

0.1 m

b)

0.2 m

c)

0.3 m

d)

0.4 m

25.

Solve the following equation: 14.28 + 5.13 + 2.2222

a)

21.6

b)

21.63

c)

21.632

d)

21.6322

26.

State the order of magnitude of the following: 0.000656

a)

10 ^-4

b)

10 ^-3

c)

10 ^-2

d)

10 ^-1

27.

State the order of magnitude of the following: 539

a)

600

b)

500

c)

10 ³

d)

10 ²

28.

A pile of sand has a width that ranges from 38 m to 41 m and a length that is approximately 125 m. If the depth varies from 8.8 m to 9.1 m, what is the order of magnitude of the volume ?

a)

10 ⁴

b)

10 ³

c)

10 ²

d)

10 ¹

29.

Solve and state the order of magnitude in SI unit:

81 nm + 96 cm + 21 pm + 148 mm

a)

10 ⁴

b)

10 ³

c)

10 ²

d)

10 ¹

e)

10⁰

30.

Which unit of quantity presents the same value as the following fundamental units: kg m² s^-3 A^-1

a)

Joule

b)

Watt

c)

Volt

d)

Ohm

31.

A number rounded to the nearest power of 10 is called:

a)

Estimation

b)

Orders of magnitude

c)

Metric multipliers

d)

Prefixes

32.

True or False?

Zero error are random errors.

a)

True

b)

False

33.

True or False?

Repeating a reading never removes the systematic error.

a)

True

b)

False

34.

True or False?

When measuring a time manually it is inappropriate to use the precision of the digital timer as the uncertainty in a reading.

a)

True

b)

False

35.

What is the level of uncertainty in the following sentence?

Mr. Wertjes is the best physics teacher at Oasis South Bank.

a)

There is no uncertainty because it is true.

b)

There are some uncertainties because Mr. Wertjes is modest.

c)

There is uncertainty with random error.

d)

There is uncertainty whenever I get a low grade.

36.

\left(3.425\pm0.003\right)+\left(7.1\pm0.9\right)=

Use Significant Figures rules.

a)

$10.5\pm0.9$

b)

$10.6\pm0.9$

c)

$10.53\pm0.90$

d)

$10.525\pm0.901$

37.

\left(1.209\pm0.001\right)+\left(0.34\pm0.02\right)=

Use Significant Figures rules.

a)

$1.55\pm0.02$

b)

$1.54\pm0.02$

c)

$1.549\pm0.021$

d)

$1.549\pm0.012$

38.

\left(2.34\pm0.02\right)+\left(1.25\pm0.03\right)=

a)

$3.59\pm0.05$

b)

$3.59\pm0.02$

c)

$3.59\pm0.03$

d)

$3.59\pm0.06$

39.

\left(100\pm10\right)+\left(25\pm5\right)=

a)

$125\pm15$

b)

$125\pm10$

c)

$125\pm5$

d)

$125\pm50$

40.

\left(100\pm20\right)-\left(30\pm7\right)=

a)

$70\pm27$

b)

$70\pm13$

c)

$70\pm7$

d)

$70\pm20$

41.

$8.10\div9.0=$

According to the rules of significant figure!

a)

$0.90$

b)

$0.9$

c)

$0.900$

d)

$0.09$

42.

$15.73+0.27=$

According to the rules of significant figure!

a)

$16$

b)

$16.0$

c)

$16.00$

d)

$16.000$

43.

A set of data are not close to each other, but the average of the data is very close to the actual value. This set of data can be described as...

a)

accurate

b)

precise

c)

both precise and accurate

44.

This bullseye demonstrates...

a)

High Accuracy & High Precision

b)

High Accuracy & Low Precision

c)

Low Accuracy & High Precision

d)

Low Accuracy & Low Precision

45.

Two students A and B measured the diameter of a wire in mm.

Data A: 1.57, 1.58, 1.43, 1.50, 1.42 Average of data A: 1.50

Data B: 1.60, 1.59, 1.59, 1.60, 1.62 Average of data B: 1.60

Actual diameter is known to be 1.50 mm.

Whose data is more precise?

a)

A, because the values in his data are close to each other

b)

B, because the values in his data are close to each other

c)

A, because the average value is close to the actual value

d)

B, because the average value is close to the actual value

Uncertainties

Total questions: 45

Worksheet time: 23mins

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