First slide

Dimensions of physical quantities

Question

Of the following the dimensionless error is

Moderate

A

Systematic error
B

Gross error
C

Random error
D

Relative error

Solution

$r e l a t i v e e r r o r = \frac{a b s o l u t e e r r o r}{a c t u a l v a l u e} = \frac{∆ x_{m e a n}}{x_{m e a n}} r e l a t i v e e r r o r i s r a t i o o f l i k e p h y s i c a l q u a n t i t i e s, h e n c e i t h a s n o u n i t s a n d i s d i m e n s i o n l e s s$

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