BARU
Ukuran huruf
Lembar kerjaCombining Uncertainties
Total soal: 10
Worksheet time: 30mins
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=IV .
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 %
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?
16 ± 1m s-1
16.0 ± 0.2 m s-1
16.0 ± 0.4 m s-1
16.00 ± 0.36 m s-1
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=T24π2l
What is the uncertainty in the calculated value for g?
2 %
3 %
5 %
6 %
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?
(8.0 ± 0.2) Ω
(8.0 ± 0.6) Ω
(8 ± 1) Ω
(8 ± 2) Ω
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?
0.5 %
0.8 %
1.3 %
1.7 %
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?
0.02850 ± 0.01 m
0.0285 ± 0.001 m
(2.850 ± 0.001) × 10-2 m
(2.850 ± 0.001) × 10-3 m
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 ρ=πd2l4m .
What is the percentage uncertainty in his calculated value of density?
1.1 %
1.8 %
2.5 %
3.0 %
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 %
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?
0.2 %
0.4 %
0.6 %
1.2 %
The power loss P in a resistor is usually calculated using the formula 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?
4 %
7 %
8 %
11 %
