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What is the SI unit for efficiency?Group of answer choicesNewtonsdimensionlessKelvinsJoule

Question

What is the SI unit for efficiency?

  • Group of answer choices
    • Newtons
    • dimensionless
    • Kelvins
    • Joule
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Solution

1. Identify the Problem

The question asks for the SI unit of efficiency from the provided options.

2. Relevant Concepts

Efficiency is a measure of how well input energy is converted into output energy. It is calculated as:

Efficiency=Useful Output EnergyInput Energy×100% \text{Efficiency} = \frac{\text{Useful Output Energy}}{\text{Input Energy}} \times 100\%

Since efficiency is a ratio of two energies, it is dimensionless, meaning it does not have any units.

3. Analysis and Detail

  • Newtons: This is the SI unit of force.
  • Dimensionless: This means it has no units; it can be a ratio or a proportion.
  • Kelvins: This is the SI unit for temperature.
  • Joule: This is the SI unit of energy.

Since efficiency is a ratio of energies, it is dimensionless.

4. Verify and Summarize

Reviewing the definition, we confirm that efficiency compares input and output energies, making it a dimensionless quantity.

Final Answer

The SI unit for efficiency is dimensionless.

This problem has been solved

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