Answer to Question #240961 in Physics for paul warren ilagan

Question

The standard mass of an unknown substance is 15.6g. Which of the following set has the least accurate value? Show solutions

Trial A B C

1 15.6 15.8 15.6

2 15.4 14.6 15.5

3 15.6 14.7 15.8

Answer 1

The least accurate value means the greatest difference with the standard mass:

1. The maximum difference here is

$$\Delta=|m_m-m_s|=|15.8-15.6|=0.2\text{ g}.$$

2. In this case:

$$\Delta=|m_m-m_s|=|14.6-15.6|=1.0\text{ g}.$$

3. In this case:

$$\Delta=|m_m-m_s|=|14.7-15.6|=0.9\text{ g}.$$

The second set contains the least accurate value.