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QPages 384-386: Q43: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 384-386: Q43 Solution: Consider a neutron and an electron bound to each other due to…

Consider a neutron and an electron bound to each other due to gravitational force. Assuming Bohr's quantization rule for angular momentum to be valid in this case, derive an expression for the energy of the neutron-electron system.

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**Answer:** Energy of neutron-electron system = _G_m_n_m_e_/(2__). **Step-by-Step Explanation:** Using Bohr's quantization for gravitational system:
En=−G2mn2me32ℏ2n2E_n = -\frac{G^2 m_n^2 m_e^3}{2\hbar^2 n^2}
For ground state (n=1), E = _G_m_n_m_e_/(2__) [citation:3].

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