Final answer:
NaOH solution conducts electricity because it dissociates into ions, whereas CH₃OH solution does not, reflecting the difference between strong electrolytes and nonelectrolytes.
Step-by-step explanation:
The solution of NaOH, being a strong base and strong electrolyte, differs from that of CH₃OH because the former completely dissociates into Na+ and OH− ions in water.
This results in a high electrical conductivity of the NaOH solution, as every dissolving molecule contributes to the ion population. In contrast, CH₃OH is a nonelectrolyte and does not dissociate into ions in solution, meaning its solution does not conduct electricity well.