The principle of homogeneity of dimensions determines:
Correct answer: C. The correctness of an equation
- A. Only the variables in the equation
- B. Only the constants in the equation
- C. The correctness of an equation
- D. Both constants and variables in the equation
Explanation
The principle of homogeneity of dimensions states that for an equation to be dimensionally correct, every term must have the same dimensions on both sides. This principle helps verify the correctness of an equation rather than focusing on individual variables or constants. Option C is correct because it aligns with this principle by ensuring equations are valid through dimensional consistency. Options A, B, and D are incorrect because they focus on specific elements rather than the equation's overall dimensional integrity.
This question appeared on the UHS MDCAT 2010 paper, which you can sit online with every answer explained.
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About Dimensional Analysis
Dimensional analysis expresses physical quantities through fundamental dimensions such as mass, length and time. It checks dimensional consistency, helps derive relations and converts between unit systems, but cannot determine numerical constants or distinguish quantities with identical dimensions. Dimensional formulae must not be confused with complete physical units.
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