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:
- The axis of the earth is inclined to the plane of ecliptic at an angle of:
- Which one of the following is NOT a scalar quantity?
- 1.08 tonne = ? kg
Solar energy is globally measured in the unit of KWh. The physical quantity corresponding to the unit KWh is _____________.
Important Questions from Physical Quantities
Which instrument is used to measure the intensity of light produced by an unknown source in terms of a standard source?
With what do you divide thrust in a liquid to obtain the value of pressure?
Which of the following is a vector quantity?
A. Time
B. Temperature
C. Distance
D. Velocity
Which of the following is a scalar quantity?
Pressure is measured in terms of
A. Mass & Density
B. Work done
C. Force and Area
D. Force and Distance
