ConceptConceptDocsDocuments

CAIE A-Level Physics 1.2 SI Units

Practise base quantities, derived-unit algebra, dimensional homogeneity and prefix conversions.

Syllabus
2028–2030
Course
Physics 9702
Level
AS

Covered syllabus points

1.2.1—The following SI base quantities and their units: mass (kg), length (m)1.2.2—Derived units as products or quotients of the SI base units and use the1.2.3—SI base units to check the homogeneity of physical equations1.2.4—The following prefixes and their symbols to indicate decimal submultiples or

1.2 SI units question 1

[Maximum number: 3]

Question (a)

(a)

A unit may be stated with a prefix that represents a power-of-ten multiple or submultiple.
Complete Table 1.1 to show the name and symbol of each prefix and the corresponding power-of-ten multiple or submultiple.

Table 1.1

Table 1.1

[ 2 ]

Question (b)

(b)

In the following list, underline all the units that are SI base units.

Table for Question (b) — CAIE A-Level Physics AS
[ 1 ]

1.2 SI units question 2

[Maximum number: 2]

The drag force FDF_{\mathrm{D}} acting on a sphere falling through a liquid is given by

FD=6πηrvF_{\mathrm{D}}=6 \pi \eta r v

where r is the radius of the sphere,
v is the speed of the sphere in the liquid and
η\eta is a property of the liquid called the viscosity.

Show that the SI base units of viscosity are kgm−1 s−1\mathrm{kg} \mathrm{m}^{-1} \mathrm{~s}^{-1}.

1.2 SI units question 3

[Maximum number: 2]

The density ρ\rho of the rock from which the pebble in (b) is composed is given by

ρ=MrnkL\rho=\frac{M r^{n}}{k L}

where n is an integer and k is a constant, with no units, that is equal to 2.094 .

Use SI base units to show that n is equal to -2 .

All question bank results loaded