The charge per unit length is given as $0.00500 \mathrm{C} / \mathrm{m}$ and the length of the rod is given as $1 \mathrm{mm}$ or $0.001 \mathrm{m}$. So, the total charge on the rod can be calculated as:
\[Q = \lambda \cdot L = 0.00500 \mathrm{C/m} \cdot 0.001
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