From the metric system to SI: the seven base quantities and their units
The decimal metric system grew into SI, adopted in 1960. SI has seven base quantities, each with one unit, such as the metre, kilogram and second.
How the world came to one system of units
FPS (foot, pound, second) was the old British system. It is not part of SI.
The metric system and its first standards
In the 1790s, just after the French Revolution, French scientists built a new system based on tens, like our way of counting. The metre was first one ten-millionth of the distance from the North Pole to the equator. A platinum-iridium bar with two lines one metre apart became its working standard. A platinum-iridium cylinder with the mass of 1 litre (1 cubic decimetre) of water became the kilogram. The second came from the turning of the Earth: a day has 24 hours of 60 minutes of 60 seconds. In 1875, many countries signed the Metre Convention to use metric units in trade. Two versions were common: cgs (centimetre, gram, second) and mks (metre, kilogram, second). Since 1983, the metre is the distance light travels in vacuum in 1/299 792 458 of a second.
The seven SI base quantities
| Base quantity | Symbol of the quantity | SI unit | Unit symbol |
|---|---|---|---|
| Length | l | metre | m |
| Mass | m | kilogram | kg |
| Time | t | second | s |
| Electric current | I | ampere | A |
| Thermodynamic temperature | T | kelvin | K |
| Amount of substance | n | mole | mol |
| Luminous intensity | Iᵥ (your NIOS lesson writes I) | candela | cd |
Mass, amount of substance and luminous intensity
Since 2019, all seven base units are defined from fixed constants of nature. The kilogram is no longer a metal cylinder; it is fixed by the Planck constant. Your NIOS lesson describes the older definitions.
Activity: read the scales on a thermometer
Use a clinical (doctor's) thermometer at home with an adult. A digital one is safer than one with mercury.
- 1Look closely at the scale. Find the two sets of marks: degree Celsius (°C) and degree Fahrenheit (°F).
- 2Note the range: a clinical thermometer reads only from about 35 °C to 42 °C (about 94 °F to 108 °F).
- 3Find the least count: the value of one small division, often 0.1 °C.
- 4Take your temperature under the tongue or in the armpit, and read both scales.
- 5★Record it. Normal body temperature is about 37 °C, which is 98.6 °F.Convert with °F = (9/5 × °C) + 32 and K = °C + 273.15. So 37 °C = 98.6 °F = 310.15 K.
★ key step
Activity: melting point of ice and boiling point of water (online lab or kitchen)
Do this in an online lab, or with a laboratory thermometer (range about −10 °C to 110 °C) and an adult's help.
- 1Fill a funnel or a glass with crushed ice and bury the thermometer bulb in it.
- 2Read the thermometer every 30 seconds.The reading falls, then stays steady while the ice melts.
- 3★Record the steady reading. The melting point of pure ice is 0 °C (273.15 K).
- 4Heat water in a pan, with the bulb in the water but not touching the pan.
- 5Read it every 30 seconds until it stops rising.Pure water at normal air pressure boils at 100 °C (373.15 K).
- 6Explain any difference from 0 °C and 100 °C.Impurities such as salt, or a change in air pressure, shift these values. On a high hill, water boils below 100 °C.
★ key step
India's copy of the old standard kilogram, number 57, is kept at the National Physical Laboratory, New Delhi. The same laboratory keeps Indian Standard Time accurate with atomic clocks.
1 marks: “Name the SI unit of thermodynamic temperature and write its symbol.” kelvin, K.
2 marks: “Name any four SI base quantities and write their units with symbols.” Length: metre (m); mass: kilogram (kg); time: second (s); electric current: ampere (A). Others: temperature: kelvin (K); amount of substance: mole (mol); luminous intensity: candela (cd).
2 marks: “A learner says 'mass' and 'amount of substance' are the same quantity. Explain the difference, with their SI units.” Mass is the quantity of matter in a body, in kilograms (kg). Amount of substance counts its particles, in moles (mol). One mole has a mass equal to the molecular mass in grams, for example 1 mol of water = 18 g.
SI seven, in order: 'My Kind Sister Always Keeps Many Candles' = metre, kilogram, second, ampere, kelvin, mole, candela.