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Solved: Which of the following equations are dimensionally
Chapter 1, Problem 40GP(choose chapter or problem)
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.