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Physical Quantities and Measurement Systems

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Physical Quantities and Measurement Systems

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Questions and Answers

What is the fundamental unit of length in the given conversion of miles per hour to meters per second?

Meter (m) (correct)

Mile (mi)

Foot (ft)

Kilometer (km)

What is the dimensional analysis of the equation d = vt^2, where d is distance, v is velocity, and t is time?

[L] = [LT^2]

[L] = [LT^-1][T^2] (correct)

[L] = [LT][T]

[L] = [L^2T^-2]

Which of the following conversions is an example of dimensional analysis?

Converting miles per hour to meters per second (correct)

Converting kilograms to grams

Converting Celsius to Fahrenheit

Converting liters to milliliters

What is the unit of time in the given conversion of miles per hour to meters per second?

Seconds (s) Signup and view all the answers

What is the importance of dimensional analysis in equations?

To ensure the dimensions on the left side are equal to the right side Signup and view all the answers

What is the result of the conversion of 1 mile per hour to meters per second using dimensional analysis?

0.477 m/s Signup and view all the answers

What is the dimensional analysis of the equation v = d/t, where v is velocity, d is distance, and t is time?

[LT^-1] = [L][T^-1] Signup and view all the answers

What is the purpose of cross-multiplication in dimensional analysis?

To cancel out units Signup and view all the answers

Which of the following equations is dimensionally incorrect?

d = vt^2 Signup and view all the answers

What is the benefit of using dimensional analysis in problem-solving?

It helps to ensure the correctness of the equation Signup and view all the answers