Question

Two graduate students measure the strength of an MRI's magnetic field to have the following values: Student A: 4.2 ± 0.8 T Student B: 5.6 ± 0.5 T Do the two students agree for the strength of the magnetic field?

Answer 1

do not agree

Step-by-step explanation:

For student A

`B=4.2\pm 0.8\ T\\\Rightarrow B=4.2+0.8\ or\ B=4.2-0.8\\\Rightarrow B=5\ T\ or\ 3.4\ T`

The magnetic field measured by student A = 5 T or 3.4 T

For student B

`B=5.6\pm 0.5\ T\\\Rightarrow B=5.6+0.5\ or\ B=5.6-0.5\\\Rightarrow B=6.1\ T\ or\ 5.1\ T`

The magnetic field measured by student B = 6.1 T or 5.1 T

The magnetic fields measured are not equal hence they do not agree.