0^\circ$ using the Compton scattering formula: $\lambda' = \lambda + \frac{h}{m_ec}(1 - \cos\theta)$
Given:
$\lambda = 10.0 \text{ pm} = 10.0 \times 10^{-12} \text{ m}$
$h = 6.626 \times 10^{-34} \text{ J s}$ (Planck's constant)
$m_e = 9.11 \times 10^{-31} \text{
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