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Which of the following sets of units is NOT in the order of increasing size?

A. μg < g < kg
B. mL < dL < L
C. ns < ms < s
D. cm < μm < km
E. μmol < mmol < mol

Answer :

Final answer:

The incorrect set of units in the order of increasing size is Option D, where it states cm < μm < km. This is incorrect because a micrometer (μm) is smaller than a centimeter (cm).

Explanation:

The set of units that is NOT in the order of increasing size from the options provided is D. centimeter (cm) < micrometer (μm) < kilometer (km). This is incorrect because a micrometer is smaller than a centimeter, not larger. Here are the definitions and abbreviations for some of the units mentioned:

  • a. kilometer (km) is 1 × 10³ m (1000 m)
  • b. milligram (mg) is 1 × 10³ g (0.001 g)
  • c. nanosecond (ns) is 1 × 10⁻⁹ s (0.000000001 s)
  • d. centiliter (dL) is 1 × 10⁻¹ L (0.1 L)

Here are some conversions for other units as a reference:

  • 1 microliter (μL) = 1 × 10⁻⁶ L (0.000001 L)
  • 2 millimoles (mmol) = 2 × 10⁻³ mol (0.002 mol)
  • 7 centimeters (cm) = 7 × 10⁻² m (0.07 m)
  • 1 deciliter (dL) = 1 × 10⁻¹ L (0.1 L)

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