Question

Show that the units$\mathit{A}\mathbf{.}{\mathit{m}}^{\mathbf{2}}$and$\mathit{J}\mathbf{/}\mathit{T}$for the Bohr magneton are equivalent.

Short answer

They are equivalent. $\frac{J}{T}=A.m^2$.

Step-by-step solution

Definition of magnetic field

The term magnet field may be defined as the area around the magnet behave like amagnet.

Show that the units A.m2 and J/T for the Bohr magneton are equivalent.

We can show that using this

$$\begin{gathered} \frac{J}{T}=\frac{N.m}{N/A.m} \\ \frac{J}{T}=A.m^2 \end{gathered}$$

Hence, they are equivalent $\frac{J}{T}=A.m^2$.