The percentage error in the measurement of mass and speed are 5% or 6% respectively the maximum error in the measurement of K.E is
Correct answer: A. 17%
- A. 17%
- B. 30%
- C. 15%
- D. 90%
Explanation
Kinetic Energy = mv^2/2Percentage Error in KE = Percentage Error in Mass + 2(Percentage Error in Speed) The question states percentage error in mass is 5% and the percentage error in speed is 6%.Putting values in the formula for Percentage Error in KE gives5 + 2(6) = 5 + 12 = 17% which is option A.
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About Errors and Significant Figures
Measurement errors include random and systematic effects, absolute, fractional and percentage uncertainty, and the precision shown by significant figures. Questions apply rounding rules and uncertainty propagation in addition, subtraction, multiplication and division, while distinguishing accuracy from precision and uncertainty from an actual mistake.
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