The frequency of the applied RF signal used to excite spins is directly proportional to the magnitude of the static magnetic field used to align the spins, with proportionality constant 5 hz/T. If the strength of the applied field is known to be 20 T plus or minus 3 T, which of the following correctly describes the uncertainty in the INVERSE frequency (1/frequency)?
A. 3/2000s
B. 3/5s
C. 1/15s
D. 1/4
Answers: 1
![\Delta [\frac{1}{w} ]= \frac{3}{2000} \ s](/tpl/images/0681/8722/df9e9.png)
is frequency ![\Delta B = \frac{k }{[\frac{1}{w}^]^2 } \Delta [\frac{1}{w} ]](/tpl/images/0681/8722/0d678.png)
![\Delta [\frac{1}{w} ] = \frac{\Delta B}{k [\frac{1}{w^2} ]}](/tpl/images/0681/8722/f6c14.png)
![\Delta [\frac{1}{w} ]= \frac{\Delta B}{k (B)^2 }](/tpl/images/0681/8722/075bd.png)
![\Delta [\frac{1}{w} ]= \frac{3}{5 (20)^2 }](/tpl/images/0681/8722/cf848.png)
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