At a field strength of 90 MHz , the resonance frequency of a particular proton is 216 Hz . What is the resonance frequency of this proton at a field strength of 600 MHz ?

Question

At a field strength of  90 MHz , the resonance frequency of a particular proton is  216 Hz . What is the resonance frequency of this proton at a field strength of  600 MHz  ?

Quizplus · Accepted Answer

The resonance frequency is directly proportional to the magnetic field strength, so we can use the equation: 
(resonance frequency at new field strength) = (resonance frequency at old field strength) x (new field strength/old field strength) 
Plugging in the values: 
(resonance frequency at 600 MHz) = (216 Hz) x (600 MHz/90 MHz) 
(resonance frequency at 600 MHz) = (216 Hz) x (6.67) 
(resonance frequency at 600 MHz) = 1440 Hz 
Therefore, the resonance frequency of this proton at a field strength of 600 MHz is 1440 Hz.

At a Field Strength of 90 MHz , the Resonance