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[QUE/CM-06003]

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Verify that the total cross for scattering for force $f= k r^{-3}$ is infinite. However if the force vanishes for $r > r_0$, show that there is some   miminum scattering angle $\theta_0$; express the result in terms of $m,  r_0$, and $k$ and show that the total cross section is  $$\sigma_t = 2\pi \int_{\theta_0}^\pi \sigma(\Theta)\  d\,\Theta   = \pi r_0^2 $$

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