Minimizing Random Errors in Measurements
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Questions and Answers

What is the absolute error for a measured value $a_{1}$ with mean value $a_{m}$?

  • $|\Delta a_{1}| = |a_{1} - a_{m}|$
  • $|\Delta a_{1}| = a_{1} - a_{m}$
  • $|\Delta a_{1}| = |a_{m} - a_{1}|$ (correct)
  • $|\Delta a_{1}| = a_{m} - a_{1}$
  • How can random errors in measurements be minimized?

  • Choosing a smaller magnitude of the quantity to be measured
  • Using an instrument with a large least count
  • Increasing the experimental conditions
  • Taking a large number of readings and finding their mean value (correct)
  • What does the mean value represent for 'n' readings of a physical quantity?

  • The middle reading among the 'n' readings
  • The largest reading among the 'n' readings
  • The smallest reading among the 'n' readings
  • The average of the 'n' readings (correct)
  • How does the least count of an instrument affect measurement errors?

    <p>A smaller least count reduces measurement errors (D)</p> Signup and view all the answers

    What is the effect of sudden changes in experimental conditions on random errors?

    <p>Sudden changes in experimental conditions can lead to random errors (B)</p> Signup and view all the answers

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