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Question detail

How do you check if the equation E = mc^2 is homogeneous?

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Use of SI units and their prefixes

Exam-style question

Try this first

How do you check if the equation E = mc^2 is homogeneous?.

  1. A.Compare units of energy with mass and speed.
  2. B.Ensure all terms have the same unit.
  3. C.Convert all units to Joules.
  4. D.Check if mass is in kilograms.

Model answer

What a good answer should say

  • Ensure all terms have the same unit.

Explanation

Why this works

To check if the equation E = mc^2 is homogeneous, you must ensure that all terms have the same unit. Here, energy (E) is in Joules, mass (m) in kilograms, and speed (c) in meters per second, leading to consistent units.

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