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23 Nov 2019
According to Yukawa's theory of nuclear forces, the attractiveforcebetween a neutron and a proton has the potential
U(r) = (-ke^(-αr)) / , k>0, α>0.
a) find the force and compare it with an inverse square lawofforce
b) Discuss the types of motion which can occur if a particle ofmassm moves under such a force.
c) Find I (angular momentum) and E (energy) for motion in acircleof radius a.
d) Find the period of circular motion and period of smallradialoscillations.
e) Show that the nearly circular orbits are almost closed when aisvery small.
According to Yukawa's theory of nuclear forces, the attractiveforcebetween a neutron and a proton has the potential
U(r) = (-ke^(-αr)) / , k>0, α>0.
a) find the force and compare it with an inverse square lawofforce
b) Discuss the types of motion which can occur if a particle ofmassm moves under such a force.
c) Find I (angular momentum) and E (energy) for motion in acircleof radius a.
d) Find the period of circular motion and period of smallradialoscillations.
e) Show that the nearly circular orbits are almost closed when aisvery small.
