What is the difference between base quantities and derived quantities? Give three examples in each case.
Difference between base quantities and derived quantities:
1. Base quantities:
Base quantities are the quantities based on which other quantities are expressed.
Seven physical quantities form the foundation for other physical quantities. These physical quantities are called the base quantities.
Example:
Length, mass, line, electric current, temperature, the intensity of light, and the derived quantities.
2. Derived quantities:
The quantities that are expressed in terms of base quantities are called derived quantities.
Example:
Area, volume, speed, force, work, energy, power, electric charge, electric potential, etc.
Following are the base units among the given options:
kilogramme, mole, ampere, metre, Kelvin.
Find the base quantities involved in each of the following derived quantities:
(a) speed
(b) volume
(c) force
(d) work
(a) Speed:
Speed = $\frac{\time{length}}{\time{time}}$
unit of speed = ms-1
Base quantities involved in speed are metres and second.
(b) Volume:
Volume = length $\times$ width $\times$ height
Volume = m $\times$ m $\times$ m = m3
Base quantity involved in volume is metre.
(c) Force:
F = ma
1N = 1 kg $\times$ 1
1N = 1 kg
(d) Work:
Work done = Force × displacement
W = FS ……… (i)
1J = 1N $\times$ 1 m
1J = 1 kg $\times$ 1 m
1J = 1 kg
Base quantities involved in work are kilogramme, metre, and second.