Question:

Which of the following measurements is most precise ?

Updated On: Jul 7, 2022
  • $5.00 \,mm$
  • $5.00 \,cm$
  • $5.00 \,m$
  • $5.00 \,km$
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The Correct Option is A

Solution and Explanation

Precision is the degree to which several measurements provide answers very close to each other. It is an indicator of the scatter in the data. The lesser the scatter, higher the precision. Let us first check the units. In all the options magnitude is same but units of measurement are different. As here $5.00 \,mm$ has the smallest unit. All given measurements are correct up to two decimal places. However, the absolute error in (a) is $0.01 \,mm$ which is least of all the four. So it is most precise.
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Concepts Used:

Units and Measurement

Unit:

A unit of a physical quantity is an arbitrarily chosen standard that is broadly acknowledged by the society and in terms of which other quantities of similar nature may be measured.

Measurement:

The process of measurement is basically a comparison process. To measure a physical quantity, we have to find out how many times a standard amount of that physical quantity is present in the quantity being measured. The number thus obtained is known as the magnitude and the standard chosen is called the unit of the physical quantity.

Read More: Fundamental and Derived Units of Measurement

System of Units:

  1. CGS system
  2. FPS system
  3. MKS system
  4. SI units

Types of Units:

Fundamental Units -

The units defined for the fundamental quantities are called fundamental units.

Derived Units -

The units of all other physical quantities which are derived from the fundamental units are called the derived units.