Question

Calculate the percentage error using the formula % error = (Vf-V)/V x 100 when Vf=1.0018 and V=0.9972.

a) % error = 46%
b) % error = 4.6%
c) % error = 0.46%
d) % error = 460%

Answer 1

The percentage error calculated using the provided values 1.0018 and 0.9972 is 0.46%, which corresponds to option c.

Step-by-step explanation:

To calculate the percentage error, we use the given formula % error = (Vf - V) / V × 100, where Vf is the final value (or experimental value) and V is the true value (or accepted value). Substituting the given values:

Vf = 1.0018

V = 0.9972

Now, we do the calculation step by step:

1. Calculate the difference between the final and true values: (1.0018 - 0.9972) = 0.0046.
2. Divide the difference by the true value: 0.0046 / 0.9972 = 0.0046146.
3. Multiply by 100 to get the percentage: 0.0046146 × 100 = 0.46146%.

Therefore, the percentage error is 0.46%, which corresponds to option c.