Question

If length of squre is given by(2.0_+0.4)m,then fractional error is given

Answer 1

Given:

Length of square=2.0

Change in length=0.4

To find:

the fractional error

Solution:

We have,

Length(L)=2.0

Change in length(ΔL)=0.4

So, we can calculate the fractional error with the formula

ΔL/L=$\frac{0.4}{2.0}$

=0.2

Hence the fractional error is 0.2

Answer 2

Here we have to find the fractional error

The length is represented as $2.0\left \ {{+} \atop {-}} \right. 0.4$

2.0 is the original length and 0.4 is the error.

The fractional error is given by error divided by the original value

Fractional error = $\frac{\delta L}{L }$

Putting the values in the formula

Fractional error = $\frac{0.4}{2}$

                          = 0.2

So, the fractional error will be 0.2