Understanding Water Density
The problem states that 1 litre (L) of water weighs 1 kilogram (kg). This establishes the density of water.
- 1 L = 1 kg
- Since 1 L = 1000 millilitres (mL), then 1000 mL = 1 kg.
- Since 1 kg = 1000 grams (g), then 1000 mL = 1000 g.
- Therefore, the density of water is 1 g per mL (1 g/mL).
Volume-Mass Relationship
We know that 1 mL is equivalent to 1 cubic centimetre (cm$^3$). So, 1 cm$^3$ of water weighs 1 g.
The question asks for the volume in cubic millimetres (mm$^3$) that weighs 0.1 g.
Unit Conversion
First, find the volume in cm$^3$ for 0.1 g of water:
Using the density relationship (1 g per cm$^3$):
$ \text{Volume} = \frac{\text{Mass}}{\text{Density}} = \frac{0.1 \text{ g}}{1 \text{ g/cm}^3} = 0.1 \text{ cm}^3 $Next, convert this volume from cm$^3$ to mm$^3$. We know that 1 cm = 10 mm.
Therefore, 1 cm$^3$ = (10 mm)$^3$ = 1000 mm$^3$.
Now convert 0.1 cm$^3$ to mm$^3$:
$ 0.1 \text{ cm}^3 = 0.1 \times 1000 \text{ mm}^3 = 100 \text{ mm}^3 $Thus, 100 mm$^3$ of water will weigh 0.1 g.
Similar Questions
- A light-year is a unit of ______
- The SI unit of 'magnetic flux' is:
Solar energy is globally measured in the unit of KWh. The physical quantity corresponding to the unit KWh is _____________.
- 1.08 tonne = ? kg
- Which one of the following is NOT a scalar quantity?
- The axis of the earth is inclined to the plane of ecliptic at an angle of:
Important Questions from Physical Quantities
What is the dimensional formula of density?
Kilowatt-hour (kWh) represents the unit of which of the following?
Which line on a meteorological map connects points of the same atmospheric pressure?
Which one of the following is a commercial unit of Energy ?
The energy $U$ stored in an inductor carrying a current $I$ is related to the magnetic flux $\Phi_B$ by the expression $U = \frac{1}{2} \Phi_B I$. What is the dimensional formula of magnetic flux ($\Phi_B$)?
