What could reduce systematic errors?

careful calibration of measuring instruments

averaging a large number of measurements

( 100 ± 10 ) + ( 25 ± 5 ) = \left(100\pm10\right)+\left(25\pm5\right)= ( 1 0 0 ± 1 0 ) + ( 2 5 ± 5 ) =

125 ± 15 125\pm15 1 2 5 ± 1 5

125 ± 10 125\pm10 1 2 5 ± 1 0

125 ± 50 125\pm50 1 2 5 ± 5 0

( 2.34 ± 0.02 ) + ( 1.25 ± 0.03 ) = \left(2.34\pm0.02\right)+\left(1.25\pm0.03\right)= ( 2 . 3 4 ± 0 . 0 2 ) + ( 1 . 2 5 ± 0 . 0 3 ) =

3.59 ± 0.05 3.59\pm0.05 3 . 5 9 ± 0 . 0 5

3.59 ± 0.02 3.59\pm0.02 3 . 5 9 ± 0 . 0 2

3.59 ± 0.03 3.59\pm0.03 3 . 5 9 ± 0 . 0 3

3.59 ± 0.06 3.59\pm0.06 3 . 5 9 ± 0 . 0 6

( 1.209 ± 0.001 ) + ( 0.34 ± 0.02 ) = \left(1.209\pm0.001\right)+\left(0.34\pm0.02\right)= ( 1 . 2 0 9 ± 0 . 0 0 1 ) + ( 0 . 3 4 ± 0 . 0 2 ) = Use Significant Figures rules.

1.55 ± 0.02 1.55\pm0.02 1 . 5 5 ± 0 . 0 2

1.54 ± 0.02 1.54\pm0.02 1 . 5 4 ± 0 . 0 2

1.549 ± 0.021 1.549\pm0.021 1 . 5 4 9 ± 0 . 0 2 1

1.549 ± 0.012 1.549\pm0.012 1 . 5 4 9 ± 0 . 0 1 2

( 3.425 ± 0.003 ) + ( 7.1 ± 0.9 ) = \left(3.425\pm0.003\right)+\left(7.1\pm0.9\right)= ( 3 . 4 2 5 ± 0 . 0 0 3 ) + ( 7 . 1 ± 0 . 9 ) = Use Significant Figures rules.

10.5 ± 0.9 10.5\pm0.9 1 0 . 5 ± 0 . 9

10.6 ± 0.9 10.6\pm0.9 1 0 . 6 ± 0 . 9

10.53 ± 0.90 10.53\pm0.90 1 0 . 5 3 ± 0 . 9 0

10.525 ± 0.901 10.525\pm0.901 1 0 . 5 2 5 ± 0 . 9 0 1

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?

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

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

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

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

IB_Measurements and Uncertainties

Authored by Mark Torrechiva

Physics

11th Grade

CCSS covered

Used 45+ times

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25 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

2.5 %

3.0 %

7.0 %

10.0 %

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

0.4 %

2 %

3 %

7 %

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

0.4 %

2 %

3 %

7 %

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

0.1 m

0.2 m

0.3 m

0.4 m

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

0.1 m

0.2 m

0.3 m

0.4 m

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

State the order of magnitude of the following: 0.000656

10 ^-4

10 ^-3

10 ^-2

10 ^-1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

Estimation

Orders of magnitude

Metric multipliers

Prefixes

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

4 %

7 %

8 %

11 %

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IB_Measurements and Uncertainties

A quantity x is to be determined from the equationx = 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 quantity x is to be determined from the equationx = 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?

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?

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?

State the order of magnitude of the following: 0.000656

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

True or False?Repeating a reading never removes the systematic error.

What could reduce systematic errors?

The power loss P in a resistor is usually calculated using the formula P=V2RP=\frac{V^2}{R}P=RV2​ 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?

Access all questions and much more by creating a free account

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Discover more resources for Physics

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 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?

True or False?
Repeating a reading never removes the systematic error.

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?