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Question

How many mutually independent base quantities are there in the current International System of Units (SI)?

The correct answer is
7

SI Base Quantities: Understanding Mutual Independence

The International System of Units (SI) is the modern form of the metric system and is the world's most widely used system of measurement. It is built upon a foundation of base units, each representing a fundamental physical quantity.

Defining SI Base Quantities

A key characteristic of these base quantities is their mutual independence. This means that no base quantity can be expressed as a simple combination of other base quantities. They form the fundamental building blocks for all other derived units within the SI system.

The Seven Mutually Independent Base Quantities

Currently, the SI system defines exactly seven mutually independent base quantities. These are:

  • Length
  • Mass
  • Time
  • Electric current
  • Thermodynamic temperature
  • Amount of substance
  • Luminous intensity

Why Independence Matters

The independence of these seven quantities ensures that the system is logically structured and avoids redundancy. Each base quantity represents a distinct physical concept, and their definitions are self-contained, relying only on fundamental physical constants or phenomena.

For example, you cannot derive 'mass' solely from combinations of 'length' and 'time'. This independence is crucial for the consistency and universality of measurements worldwide.

Base Quantity Name SI Base Unit Name
Length Metre
Mass Kilogram
Time Second
Electric current Ampere
Thermodynamic temperature Kelvin
Amount of substance Mole
Luminous intensity Candela

Therefore, there are 7 mutually independent base quantities in the current International System of Units (SI).

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