CAIE A-Level Physics AS Mathematical Data Formula and Circuit Symbol Skills Questions

Practise using CAIE Physics mathematical tools—units, algebra, geometry, graphs, supplied formulae and circuit symbols—to interpret and solve written and practical questions.

Exam points

use mathematical notation, units, equations, graphs and physical constants accurately in calculations
apply geometry, trigonometry, vectors and algebraic manipulation to physical situations
select, rearrange and interpret supplied physical formulae rather than substituting blindly
analyse experimental graphs through gradients, intercepts, curves, tangents, logarithmic plots and uncertainty
recognise and draw circuit symbols and connect them to component behaviour and measurement

Covered syllabus points

Mathematical requirements Key quantities, symbols and units Supplied data and formulae Circuit symbols

[Maximum number: 1]

Which circuit symbol does not represent an electric component that is designed to emit sound

waves?

Figure for Question 1 — CAIE A-Level Physics AS

Option A shown in diagram

Option B shown in diagram

Option C shown in diagram

Option D shown in diagram

[Maximum number: 2]

The electric field strength E at a distance x from an isolated point charge Q is given by the equation

E=\frac{Q}{x^{2} b}

where b is a constant.

Use the units for E given in (b)(i) to determine the SI base units of b.

SI base units of b

$\begin{aligned} b =Q / X^{2} E =\mathrm{As} / \mathrm{m}^{2} \mathrm{kgmA}^{-1} \mathrm{~s}^{-3} \end{aligned}$ $=\mathrm{A}^{2} \mathrm{~s}^{4} \mathrm{~kg}^{-1} \mathrm{~m}^{-3}$

[Maximum number: 1]

Define the ohm.

[Maximum number: 1]

The radius of a small sphere is determined from a measurement of the volume of the sphere. The sphere is submerged in water, displacing some of the water into a measuring cylinder as shown in Fig. 1.1.

Fig. 1.1 (not to scale)

The measured volume of displaced water is $(28.0 \pm 0.5) \mathrm{cm}^{3}$ .
Calculate:

the radius, in cm , of the sphere

radius =cm [1]

$\begin{aligned} r =[(3 \times 28) / 4 \pi]^{1 / 3} =1.9 \mathrm{~cm} \end{aligned}$

All question bank results loaded

Covered syllabus points

Question 1

Question 2

Question 3

Question 4