A mine waste dump with a pH of 5.2 is acidic, likely due to acid mine drainage. To neutralize this acidity (bring the pH closer to 7), a basic substance must be added. Calcium carbonate (CaCO$_3$) is commonly used in mining to neutralize acidic waste because it reacts with acids to form water, carbon dioxide, and a salt, effectively raising the pH. Urea is a fertilizer and does not effectively neutralize acids, sulphuric acid would further lower the pH, and sodium chloride is neutral and does not affect pH significantly.
Thus, the correct answer is Calcium carbonate.