Chapter 3, Problem 1STP

Interpretation Introduction

Interpretation : The given series of units are to be ordered from smallest to largest.

Concept Introduction : An equivalent measurement ratio is referred to as a conversion factor.

Answer to Problem 1STP

The series of units ordered from smallest to largest: mm, dm, m, km.

Option (B) is the correct answer.

Explanation of Solution

Reason for correct option: An equivalent measurement ratio is referred to as a conversion factor.

All the given units are units of length.

To find the order of the units, relate the units to meters.

The units such as millimeter, decimeter, meter, and kilometer are expressed as

  $\begin{array}{c}\text{1mm}\text{=}{\text{10}}^{-3}\text{m}\\ \text{1dm}={10}^{-1}\text{m}\\ \text{1m}=1\text{m}\\ \text{1km}={10}^3\text{m}\end{array}$

From the expressions, the order of the units was found.

The series of units ordered from smallest to largest: mm, dm, m, km.

So, option (B) is the correct answer.

Conclusion

Reasons for incorrect options:

Option A:

In option A, the units are not in the correct increasing order. The correct increasing order is: $\text{μg}$ , mg, cg, kg.

Option C:

In option C, the units are not in the correct increasing order. The correct increasing order is: ns, $\text{μg}$ , cs, s.

Option D:

In option D, the units are not in the correct increasing order. The correct increasing order is: nL, mL, cL, dL.