The RF pulse bandwidth for slice selection in MRI can be calculated using the formula:
\[
\Delta f = \frac{\Delta z \cdot \gamma \cdot B}{\text{Slice thickness}},
\]
where:
- \( \Delta z \) is the slice thickness in cm,
- \( \gamma \) is the gyromagnetic ratio (42.58 MHz/T),
- \( B \) is the gradient field strength in Gauss/cm.
Given:
- Slice thickness \( \Delta z = 2.5 \, \text{mm} = 0.25 \, \text{cm} \),
- Gradient field \( B = 2 \, \text{Gauss/cm} \),
- \( \gamma = 42.58 \, \text{MHz/T} \),
We calculate the bandwidth:
\[
\Delta f = \frac{0.25 \times 42.58 \times 2}{2.5} = 2.13 \, \text{kHz}.
\]
Final Answer: 2.13 kHz