Question

Of the following the dimensionless error is
O Systematic error
O Gross error
O Random error
O Relative error​

Answer 1

Answer:

random error ...............

Answer 2

Relative Error is a dimensionless error.

Reason:

Relative error is a dimensionless error because it involves the ratio of two similar quantities.

On the other hand , other type of errors involves the dimension of the quantity being measured in the experiment.

Systematic Error:

This type of error is mainly observed due to defects in the apparatus used for changes in the ambient environment during experimentation.

Gross Error:

This type of error represents the total error involved which is measured in quantity by algebraic summation of the error each of the constituent quantities.

Random Error:

These types of error are caused by unknown and unpredictable changes in the experiment.

Let any quantity be Q and the error be ∆Q.

$\boxed{ \sf{ \bold{relative \: error = \dfrac{\Delta Q}{Q} \times 100 \%}}}$