How high does the liquid climb?

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Problem: How high does the liquid climb?
A wetting liquid has surface tension 0.050 N/m and density 1000 kg/m³. It rises in a tube of radius 0.50 mm with contact angle zero.
Question: Find the capillary rise.
Givens:
- γ = 0.050 N/m
- ρ = 1000 kg/m³
- r = 0.00050 m
- cos θ = 1
Assumptions: g = 10 m/s²; narrow circular tube, complete wetting, static rise, large reservoir and negligible meniscus volume.
Choices (LaTeX):
A. 0.010\ \mathrm m
B. 0.040\ \mathrm m
C. 20\ \mathrm m
D. 0.020\ \mathrm m

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.