EXPLANATION
Question: What is the dimension of density?
- a) M⁻¹L⁻²T⁰
- b) M¹L⁻³T⁰
- c) M⁰L⁰T¹
- d) M⁻¹L⁻³T⁰
ANSWER: b) M¹L⁻³T⁰
EXPLANATION:
b) M¹L⁻³T⁰
The dimensional formula of mass is [M], and the dimensional formula of volume is [L3]. Therefore, the dimensional formula of density is [M1L-3].
In the International System of Units (SI), the unit of density is kilograms per cubic meter (kg/m3). This means that the density of a substance is equal to its mass in kilograms divided by its volume in cubic meters.
For example, the density of water is 1,000 kg/m3. This means that a cubic meter of water has a mass of 1,000 kilograms.
