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Units and Measurements · NEET Preparation Physics

In an experiment, the percentage errors incurred in the measurement of mass and velocity are 1% and 2% respectively. The maximum percentage error in…

Practice question from Units and Measurements (NEET Preparation Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-664730

In an experiment, the percentage errors incurred in the measurement of mass and velocity are 1%1\% and 2%2\% respectively. The maximum percentage error in the measurement of kinetic energy is:

  1. A.3%3\%
  2. B.5%5\%Correct answer
  3. C.2%2\%
  4. D.$4%"

Solution

Kinetic energy is given by K=12mv2K = \frac{1}{2}mv^2. The maximum fractional error is ΔKK=Δmm+2Δvv\frac{\Delta K}{K} = \frac{\Delta m}{m} + 2\frac{\Delta v}{v}. Given Δmm=1%\frac{\Delta m}{m} = 1\% and Δvv=2%\frac{\Delta v}{v} = 2\%, the percentage error is 1%+2(2%)=5%1\% + 2(2\%) = 5\%.

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