Author a question with physical units

Physical units can be used when authoring the correct answer in the Answer field for the following question types:

  • Formula with physical units question sub-type (one of the ten mathematical formula question sub-types)

  • Numeric questions with a defined Units Part

There are three groupings of physical units that Möbius recognizes when determining whether a student's response is a physical unit equivalent to the defined correct answer:

  • SI/Metric Units (Accept Prefixes)

  • SI/Metric Units (No Prefixes)

  • U.S. Customary/Imperial Units

If the correct answer is defined using a specific physical unit from one of the three groupings and a student enters a physical unit that's equivalent from one of the three groupings, the student's response will be graded as correct (Example — if the defined correct answer is 500 g, a student's response of 0.5 kg will be graded as correct).

Physical units that aren't defined in one of the three groupings can still be used when authoring a question, however, the student must enter the units exactly as they're defined in the correct answer (including case sensitivity) and no other physical unit will be accepted as correct (Example — if the correct answer is 5 light-years, the unit part of the student's response must be light-years).

You can use:

  • Independent units (Example — kg)

  • Certain combinations of units (Example — kg*m^2)

SI/Metric Units (Accept Prefixes)

For the SI/Metric Units (Accept Prefixes) grouping, the SI Prefixes listed below can be applied to units in the following unit tables (Example — kJ/mol, MHz, or kg*m^2):

SI Prefixes

Prefix

Factor

Name

Y

10^24

yotta

Z

10^21

zetta

E

10^18

exa

P

10^15

peta

T

10^12

tera

G

10^9

giga

M

10^6

mega

k

10^3

kilo

h

10^2

hecto

da

10^1

deca

d

10^-1

deci

c

10^-2

centi

m

10^-3

milli

u

10^-6

micro

n

10^-9

nano

p

10^-12

pico

f

10^-15

femto

a

10^-18

atto

z

10^-21

zepto

y

10^-24

yocto

CGS Units

Unit

Definition

Name

erg

10^-7 J

erg

dyn

10^-5 N

dyne

P

0.1 Pa*s

poise

St

cm^2/s

stokes

sb

cd/cm^2

stilb

ph

10^4 lx

phot

Gal

cm/s^2

gal

Mx

10^-8 Wb

maxwell

G

10^-4 T

gauss

Oe

(10^3/4/Pi) A/m

oersted (rationalized)

Base Units

Unit

Definition

Name

m

meter

s

second

kg

kilogram

A

amp

K

kelvin

Metric Units

Unit

Definition

Name

L

m^3/1000

liter

M

mol/L

molar

eV

J*1.602E-19

electron volt

Derived SI Units

Unit

Definition

Name

mol

6.02214199 * 10^23

mole

rad

1

radian

sr

1

steradian

Hz

1/s

hertz

N

kg m/s^2

newton

Pa

N/m^2

pascal

J

N m

joule

W

J/s

watt

C

A s

coulomb

V

J/C

volt

F

C/V

farad

ohm

V/A

ohm

S

A/V

siemens

Wb

V s

weber

T

Wb/m^2

tesla

H

Wb/A

henry

lm

cd sr

lumen

lx

lm/m^2

lux

Bq

s^-1

becquerel

Gy

J/kg

gray

Sv

J/kg

sievert

kat

mol/s

katal

SI/Metric Units (No Prefixes)

For the SI/Metric Units (No Prefixes) grouping, SI prefixes can't be added to the units listed in these unit tables (Example — dmeter (for decameter) isn't accepted):

Long-form Names of SI Units

Unit

Definition

Name

meter

m

meter

metre

m

meter

meters

m

meter

centimeter

cm

centimeter

centimeters

cm

centimeter

radian

rad

radian

radians

rad

radian

steradian

sr

steradian

steradians

sr

steradian

sec

s

second

second

s

second

seconds

s

second

mole

mol

mole

moles

mol

mole

ohms

ohm

ohm

Metric Units and Long-form Names

Unit

Definition

Name

min

60s

minute

minute

min

minute

minutes

min

minute

h

60min

hour

hr

h

hour

hour

h

hour

hours

h

hour

d

24h

day

day

d

day

days

d

day

deg

Pi/180

degree

degree

deg

degree

degrees

deg

degree

arcdegree

deg

degree

arcdeg

deg

degree

arcminute

deg/60

arcminute

arcmin

arcminute

arcminute

arcsecond

arcminute/60

arcsecond

arcsec

arcsecond

arcsecond

ha

10^4 m^2

hectare

hectare

ha

hectare

liter

L

liter

liters

L

liter

t

10^3kg

tonne (metric)

tonne

t

tonne (metric)

tonnes

t

tonne (metric)

Molar

M

molar

bar

100 kPa

bar

mbar

bar*10^-3

millibar

cbar

bar*10^-2

centibar

dbar

bar*10^-1

decibar

kbar

bar*10^3

kilobar

Mbar

bar*10^6

megabar

mmHg

133.322 Pa

millimeter of mercury

b

100 fm^2

barn

kn

(1852/3600) m/s

knot

degC

(T + 273.15) K

degree Celsius

U.S. Customary/Imperial Units

The U.S. Customary/Imperial Units represent the commonly used units from the U.S. Customary System and the Imperial System (Example — Yards) in these tables:

U.S. Customary/Imperial Units

Unit

Definition

Name

in

(1/12)ft

inch

inch

in

inch

inches

in

inch

ft

m*0.3048

foot

foot

ft

foot

feet

ft

foot

yd

3feet

yard

yard

yd

yard

yards

yd

yard

mi

5280 feet

miles (statute)

mile

mi

miles (statute)

miles

mi

miles (statute)

li

(33/50)sft

link

sft

(1200/3937)m

foot (survey)

rd

25 li

rod

ch

4 rd

chain

fur

10 ch

furlong

lea

3 mi

league

ftm

2 yd

fathom

cb

120 ftm

cable

nmi

1.852 km

mile (nautical)

NM

1.852 km

mile (nautical)

sqft

144 in^2

square foot (survey)

sqch

4356 sqft

square chain

acre

43560 sqft

acre

acres

acre

acre

section

640 acre

section

sections

section

section

twp

36 sections

survey township

cuin

in^3

cubic inch

cuft

1728 cuin

cubic foot

cuyd

27 cuft

cubic yard

acreft

45360 cuft

acre-foot

floz

29.5735295625 mL

fluid ounces (US)

cp

8 floz

cup (US fluid)

pt

2 cp

pint (US fluid)

qt

2 pt

quart (US fluid)

gal

4 qt

gallon (US fluid)

Unit

Definition

Name

flozI

28.4130625 mL

fluid ounces (Imperial)

gil

5 flozI

gill (Imperial)

ptI

20 flozI

pint (Imperial)

qtI

2 ptI

quart (Imperial)

galI

4 qtI

gallon (Imperial)

oz

(1/16)lb

ounces (Avoirdupois)

lb

453.59237 g

pounds (Avoirdupois)

lbs

lb

pounds (Avoirdupois)

ton

2000 lb

ton (Avoirdupois)

degF

(5/9)(T - 32) + 273.15 K

degree Fahrenheit