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Solved: Which of the following equations are dimensionally

Chapter 1, Problem 40GP

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QUESTION:

CE Which of the following equations are dimensionally consistent? (a) \(v=at\), (b) \(v=\frac{1}{2}at^2\), (c) \(t=a/v\), (d) \(v^2=2ax\).

Equation Transcription:

Text Transcription:

v=at

v=frac{1}{2}at^2

t=a/v

v^2=2ax

Questions & Answers

QUESTION:

CE Which of the following equations are dimensionally consistent? (a) \(v=at\), (b) \(v=\frac{1}{2}at^2\), (c) \(t=a/v\), (d) \(v^2=2ax\).

Equation Transcription:

Text Transcription:

v=at

v=frac{1}{2}at^2

t=a/v

v^2=2ax

ANSWER:

Step 1 of 5

Here we have to check the consistency of the given equations using dimensional analysis. We have to work on the dimensions of the quantity similar to the algebraic expression.

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