Question

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.
• D. the possible error is reduced to one fourth.

Answer 1

Answer: (D)

the possible error is reduced to one fourth.

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, wil probably reduce the possible error to one-fourth.