Consider a solid hemisphere having volume charge density \(\rho\) and radius \(R,\) and a semi-infinite rod arising from center of its base having line charge density \(\lambda\). They are arranged as shown in the figure below:

Find the force of interaction between them **in Newtons**.

**Details and Assumptions (all in SI units)**

- \(\rho = 1.23 \times 10^{-4}\)
- \(\lambda = 3.21 \times 10^{-4}\)
- \(R = 0.5\)
- \(\epsilon_{0} = 8.85 \times 10^{-12}\)

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