The newton measures force and 0.00350 carries three significant figures, so this IB sheet opens with the SI unit and then counts the digits. A 1.6 percent uncertainty, a 0.5 mm result and kg m² s⁻² all appear in the key.
Key Takeaways
The SI unit of force is the newton (Q1).
0.00350 has three significant figures (Q2).
Q4 records a 1.6 percent uncertainty.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.Which of the following is the SI unit of force?
(a) kg(b) newton(c) joule(d) pascal
2.How many significant figures are there in the number 0.00350?
(a) 2(b) 3(c) 4(d) 5
3.Which of the following is a scalar quantity?
(a) velocity(b) force(c) mass(d) displacement
4.A length is measured as 12.5 cm with an absolute uncertainty of 0.2 cm. The percentage uncertainty is
5.A metre rule is graduated in millimetres. The best estimate of the absolute uncertainty in a single reading is
(a) 5 mm(b) 0.5 mm(c) 0.05 mm(d) 0.005 mm
6.The unit of energy expressed in SI base units is
(a) kg m s⁻²(b) kg m² s⁻²(c) kg m² s⁻³(d) kg m s⁻¹
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.State the difference between a random error and a systematic error.
8.A stopwatch measures 20 oscillations of a pendulum as 32.4 s. State the absolute uncertainty if the stopwatch has a resolution of 0.1 s.
9.Explain why repeating measurements reduces the effect of random errors but not the effect of systematic errors.
10.State the number of significant figures in the value 2.400 × 10³.
11.Convert 2.5 mm into metres and state the result in standard form.
12.Define the term precision of a measurement.
13.State one example of a systematic error that could occur when measuring length with a metre rule.
14.Two lengths, 3.42 m and 0.9 m, are added together. State the result with the correct number of significant figures.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A voltmeter reads 6.4 V with a percentage uncertainty of 2.5 percent. Using absolute uncertainty = reading × percentage uncertainty, determine the absolute uncertainty in the reading.
16.A rectangle is measured as 25.0 cm by 10.0 cm, each side with an uncertainty of 0.2 cm. Using percentage uncertainty = absolute uncertainty ÷ value × 100, calculate the percentage uncertainty in the area.
17.A car travels 100 m in 10.0 s. The distance has an uncertainty of 1 m and the time an uncertainty of 0.2 s. Using speed = distance ÷ time and adding the percentage uncertainties, determine the uncertainty in the speed.
18.Convert a volume of 3.0 m³ into cm³, using the fact that 1 m = 100 cm.
19.The time for 20 oscillations of a pendulum is measured as 24.0 s with an uncertainty of 0.2 s. Using period = total time ÷ 20, calculate the period and its percentage uncertainty.
20.A vernier caliper has a resolution of 0.1 mm. Using half of the smallest division as the absolute uncertainty, state the absolute and percentage uncertainty of a reading of 21.4 mm.
Answer Key
1. b) newton
2. b) 3
3. c) mass
4. a) 1.6 percent
5. b) 0.5 mm
6. b) kg m² s⁻²
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the SI unit of force?
The newton, option (b) in this worksheet (Q1).
How many significant figures are in 0.00350?
3, option (b) in this worksheet (Q2).
What is the SI unit of energy?
kg m² s⁻², option (b) in this worksheet (Q6).
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