Step 1: Read the question.
We shine light on a metal surface and then make the light brighter (more intense). We must say what happens to the stopping potential.
Step 2: Recall the key equation.
Einstein's photoelectric equation is $K_{\max} = h\nu - \phi = eV_0$, where $V_0$ is the stopping potential.
Step 3: See what controls the energy.
The maximum kinetic energy of the escaping electrons depends only on the frequency $\nu$ of the light and the work function $\phi$, not on how bright the light is.
Step 4: Think about what intensity does.
Brighter light just means more photons arrive each second, so more electrons come out. That raises the current, not the energy of each electron.
Step 5: Connect to stopping potential.
Since the top electron energy does not change, the voltage needed to stop them, $V_0$, also does not change.
Step 6: State the result.
The stopping potential stays the same when intensity is increased.
\[ \boxed{\text{remains unchanged}} \]