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Chapter 1: Problem 71

What type of quantity (for example, length, volume, density) do the following units indicate? (a) \(\mathrm{m}^{3},(\mathbf{b}) \mathrm{ns},\) (c) \(\mathrm{mm}\) (d) \(\mathrm{g} / \mathrm{dm}^{3}\), (e) \({ }^{\circ} \mathrm{C},\) (f) \(\mathrm{ms}^{-1}\), (g) Pa.

Short Answer

Expert verified
The identified physical quantities for each unit are: (a) \(\mathrm{m}^{3}\) indicates Volume, (b) \(\mathrm{ns}\) indicates Time, (c) \(\mathrm{mm}\) indicates Length, (d) \(\frac{\mathrm{g}}{\mathrm{dm}^{3}}\) indicates Density, (e) \({ }^{\circ} \mathrm{C}\) indicates Temperature, (f) \(\mathrm{ms}^{-1}\) indicates Velocity (Speed), and (g) Pa indicates Pressure.

Step by step solution

01

Identify Quantity of m³

The unit \(\mathrm{m}^{3}\) stands for cubic meters, which is a measure of volume. So, the quantity represented by this unit is Volume.
02

Identify Quantity of ns

The unit \(\mathrm{ns}\) stands for nanoseconds, which is a measure of time. So, the quantity represented by this unit is Time.
03

Identify Quantity of mm

The unit \(\mathrm{mm}\) stands for millimeters, which is a measure of length. So, the quantity represented by this unit is Length.
04

Identify Quantity of g/dm³

The unit \(\frac{\mathrm{g}}{\mathrm{dm}^{3}}\) stands for grams per cubic decimeters, which is a measure of mass per unit volume, i.e., density. So, the quantity represented by this unit is Density.
05

Identify Quantity of °C

The unit \({ }^{\circ} \mathrm{C}\) stands for degree Celsius, which is a measure of temperature. So, the quantity represented by this unit is Temperature.
06

Identify Quantity of ms⁻¹

The unit \(\mathrm{ms}^{-1}\) stands for meters per second, which is a measure of distance over time. This makes it a measure of velocity or speed. So, the quantity represented by this unit is Velocity (Speed).
07

Identify Quantity of Pa

The unit Pa stands for Pascal, which is a derived SI unit of pressure. So, the quantity represented by this unit is Pressure.

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