Physical quantities & units: AS Level Physics questions with answers
Free Physical quantities & units questions for AS Level Physics (9702), part of Mechanics & materials. Each question has the answer and the marking points an examiner would look for.
Which row correctly classifies the four quantities?
vector
scalar
A
kinetic energy and weight
momentum and power
B
momentum and weight
kinetic energy and power
C
weight and power
momentum and kinetic energy
D
momentum and power
kinetic energy and weight
Show answer
Answer: B
Question 2Multiple choice · 1 mark
Which estimate is closest to the power of a domestic kettle?
A 20 kW
B 2 kW
C 200 W
D 20 W
Show answer
Answer: B
Question 3Multiple choice · 1 mark
Which statement describes homogeneous equation?
A An error that shifts all readings from the true value by the same amount
B Power per unit area
C An equation in which the base units on each side are the same
D No net transfer of thermal energy between objects
Show answer
Answer: C
Question 4Structured · 8 marksA* challenge
A quantity Q is determined using Q = mLT2. The measurements are m = (0.36 ± 0.01) kg, L = (1.160 ± 0.005) m and T = (2.33 ± 0.02) s.
(a)
Determine the SI base units of Q.
[1]
(b)
Calculate Q and its absolute uncertainty. Give your answer to an appropriate number of significant figures.
[4]
(c)
Distinguish between systematic and random errors, and state how each can be reduced.
[3]
Show answers and mark scheme
Part
Answer and marking points
Marks
(a)
kg m s−2
kg m s−2B1
1
(b)
0.0769 ± 0.004
Q = 0.0769 C1 percentage uncertainties added, with T doubled C1 4.9% C1 ± 0.004, consistent s.f. A1
4
(c)
systematic: readings all too high or too low by the same amount (e.g. zero error), reduced by correcting the instrument; random: scatter about the true value, reduced by repeating and averaging
systematic: consistent shift from true value B1 random: scatter about true value B1 correct method for reducing each B1
3
Question 5Structured · 4 marks
A student measures the distance d moved by a trolley as (5.20 ± 0.02) m in a time t of (1.60 ± 0.05) s.
(a)
Calculate the average speed of the trolley.
[1]
(b)
Calculate the percentage uncertainty in the average speed.
[2]
(c)
State the speed with its absolute uncertainty, to an appropriate number of significant figures.
[1]
Show answers and mark scheme
Part
Answer and marking points
Marks
(a)
3.25 m s−1
3.25 m s−1B1
1
(b)
3.5%
sum of percentage uncertainties C1 3.5% A1
2
(c)
3.3 ± 0.1 m s−1
3.3 ± 0.1 m s−1B1
1
Question 6Structured · 11 marks
A student determines g using a simple pendulum: g = 4π2LT2. She measures L = 1.200 ± 0.002 m and T = 1.80 ± 0.02 s.
(a)
State the difference between a systematic error and a random error.
[2]
(b)
Calculate the value of g.
[1]
(c)
Calculate the percentage uncertainty in g.
[2]
(d)
State g with its absolute uncertainty to an appropriate number of significant figures.
[2]
(e)
Explain why timing 20 oscillations reduces the percentage uncertainty in T.
[2]
(f)
Show that the equation is homogeneous with respect to SI base units.
[2]
Show answers and mark scheme
Part
Answer and marking points
Marks
(a)
systematic: same size and sign each reading (e.g. zero error); random: scatter about mean
systematic error: readings shifted by the same amount / in the same direction (e.g. zero error) B1 random error: unpredictable scatter of readings about the mean B1
2
(b)
14.6 m s−2
14.6 m s−2B1
1
(c)
2.4%
%uncertainty = 0.167% + 2 × 1.11% C1 2.4% A1
2
(d)
14.6 ± 0.3 m s−2
absolute uncertainty 0.3 C1 g = 14.6 ± 0.3 m s−2A1
2
(e)
same reaction-time uncertainty spread over 20 periods
the absolute uncertainty from reaction time stays the same B1 so divided over 20 periods the uncertainty in T is 20 times smaller B1
2
(f)
m / s² = m s⁻² both sides
LHS: m s−2B1 RHS: m / s2 = m s−2 (4π2 has no units) B1
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Original Cambridge-style practice questions written for mentorriyaz.in. These are not Cambridge past paper questions, and this site is not affiliated with or endorsed by Cambridge University Press & Assessment. Updated 2026-11-04. Paper generator · mentorriyaz.in