MCQ
A scientist performs an experiment in order to measure a certain physical quantity and takes $100$ observations. He repeats the same experiment and takes $400$ observations. By doing so,
  • A
    the possible error remains same.
  • B
    the possible error is doubled.
  • C
    the possible error is halved.
  • the possible error is reduced to one fourth.

Answer

Correct option: D.
the possible error is reduced to one fourth.
d
Mean error $\Delta x _{ m }=\frac{\sum \Delta x }{ n }$ where $n$ is the total number of observations.

Increasing the number of observation by 4 times, will probably reduce the possible error to one-fourth.

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