An electron is moving on a circular path around a stationary neutron under gravitation interaction. Mass of the neutron and electron are M and m respectively. If Bohr’s quantum condition holds here the minimum permissible de Broglie wavelength associated with the electron will be

Question

An electron is moving on a circular path around a stationary neutron under gravitation interaction. Mass of the neutron and electron are M and m respectively. If Bohr’s quantum condition holds here the minimum permissible de Broglie wavelength associated with the electron will be, h 2 2 π G M m, h 2 2 π G M m 2, h 2 2 π G M 2 m, h 2 4 π G M 2 m

MARKS App · Accepted Answer

m v 2 r = GMm r 2 m v r = n h 2 π λ = h mv λ min = h 2 2 π G M 2 m

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