Answer:
3.78 × 10^8 Hz.
Step-by-step explanation:
The Larmor frequency is given by:
f = γB
where f is the Larmor frequency, B is the magnetic field strength, and γ is the gyromagnetic ratio, which is a constant for each type of nucleus.
For a proton, the gyromagnetic ratio is γ = 2.675 × 10^8 rad T^-1 s^-1.
Substituting B = 1.41 T and γ = 2.675 × 10^8 rad T^-1 s^-1, we get:
f = (2.675 × 10^8 rad T^-1 s^-1) × (1.41 T) = 3.78 × 10^8 Hz
Therefore, the Larmor frequency for a proton in a magnetic field of 1.41 T is 3.78 × 10^8 Hz.