Question

The relative error in the length of an object
is 0.008 then the percentage error is:
0.009%
0.008 %
0.08 %
0.8 %​

Answer 1

The correct option is 0.8 %

Explanation:

Errors are used to calculate the difference between the actual and theoretical results and the amount of uncertainty in the calculations.

As we know that

Relative error = absolute value / actual value

Since, we are provided with the relative error, we don't need to calculate it.

Then,

Percentage error = relative error * 100

Percentage error = 0.008 * 100 = 0.8

Answer 2

Given:

The relative error in the length of an object, (ΔL / L) = 0.008

To Find:

The percentage error in the length of the object.

Calculation:

- The percentage error in the length of an object is given as:

% error = Relative error × 100

⇒ % error = (ΔL / L) × 100

⇒ % error = 0.008 × 100

⇒ Percentage error = 0.8 %

- So, the correct answer for percentage error is option (d) 0.8 %.