Hydrogen atoms are in a magnetic field of 2.0 T.What is their magnetic resonance frequency? A)2.8 x 10¹⁰ Hz B)5.6 x 10¹⁰ Hz C)1.1 x 10¹¹ Hz D)1.8 x 10¹¹ Hz E)3.5 x 10¹¹ Hz

Question

Quizplus · Accepted Answer

The magnetic resonance frequency of hydrogen atoms in a magnetic field can be calculated using the Larmor equation, which is $f = \frac{\gamma B}{2\pi}$, where $\gamma$ is the gyromagnetic ratio for hydrogen ($2.675 \times 10^{8} \, \text{T}^{-1}\text{s}^{-1}$), and $B$ is the magnetic field strength (2.0 T). Substituting these values, the frequency $f$ is approximately $42.58 \times 10^{7}$ Hz or $4.258 \times 10^{8}$ Hz, which is closest to the option $5.6 \times 10^{7}$ Hz, considering the context and typical rounding in such problems.

Hydrogen Atoms Are in a Magnetic Field of 2