Question

Give three examples of derived units.

Answer 1

Examples:

1. Force = mass × acceleration

= mass × `"velocity"/"time"`

= mass × `("distance"/"time")/"time"=("mass"xx"distance")/("time")^2`

∴ Force = `("mass"xx"length")/("time")^2`

2. S.I. unit of area i.e. m² is a derived unit.
Area = length × breadth
Now, a metre is a unit of length and breadth, so S.I. unit of area is obtained by multiplying the fundamental unit ‘m’ with itself. So, m² is the derived unit of area.

3. Density = Mass/volume
S.I. unit of density i.e. kg/m³ is the derived unit of density because it can be obtained by combining two fundamental units kilogram and metre.