A scientist performs an experiment in order to measure a certain physical quantity and takes 100 obs

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1.Units, Dimensions and Measurement

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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.

Solution

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.

Standard 11

Physics

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