Question

error which occurs due to minor change in conditions are​

Answer 1

Answer:

The relative error expressed in percentage (i.e. multiplied by 100) is called percentage error.

∴Percentage error=

a

m

Δa

m

×100%

Problem:

In an experiment, the values of refractive indices of glass were found to be 1.54, 1.53, 1.44, 1.54,1.56 and 1.45 in successive measurements.

Find the Percentage error.

Solution:

Mean=

6

1.54+1.53+1.44+1.54+1.56+1.45

=1.51

∣Mean absolute error∣=

6

1

∑(

x

1

ˉ

−

x

ˉ

)

2

=0.04

Relative error=

Mean

Absolute error

=

1.51

0.04

=0.026≈0.03

% error= Relative error×100=3%