Step 1: Understanding the radioactive isotope of potassium.
Potassium ($K$) in rocks is mostly $^{40}$K, which is a naturally occurring radioactive isotope.
It undergoes radioactive decay by:
- $\beta^-$ decay (to $^{40}$Ca), and
- electron capture (to $^{40}$Ar).
Step 2: Gamma-ray emission.
During the electron capture decay of $^{40}$K to $^{40}$Ar, a characteristic gamma-ray photon is emitted.
The energy of this $\gamma$-ray photon is 1.46 MeV.
Step 3: Radiometric survey application.
In radiometric surveys, different isotopes are identified by their characteristic gamma-ray energy peaks:
- $^{40}$K : 1.46 MeV
- $^{214}$Bi (Uranium series): 1.76 MeV
- $^{208}$Tl (Thorium series): 2.62 MeV
Thus, the peak for potassium is uniquely observed at 1.46 MeV.
\[
\boxed{1.46 \, \text{MeV}}
\]