According to Yukawa’s theory of nuclear forces, the attractive force between a neutron and a proton has the potential V (r) = −Ke^(−αr)/r, K, α > 0 (a) Find the force, and compare it with an inverse square law of force. (b) Discuss the types of motion which can occur if a particle of mass m moves under such a force. (c) Discuss how the motions will be expected to differ from the corresponding types of motion for an inverse square law of force. (d) Find L and E for motion in a circle of radius a. (e) Find the period of circular motion and the period of small radial oscillations. (f) Show that the nearly circular orbits are almost closed when a is very small

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According to Yukawa’s theory of nuclear forces, the attractive force between a neutron
and a proton has the potential V (r) = −Ke^(−αr)/r, K, α > 0

(a) Find the force, and compare it with an inverse square law of force.
(b) Discuss the types of motion which can occur if a particle of mass m moves under
such a force.
(c) Discuss how the motions will be expected to differ from the corresponding types of
motion for an inverse square law of force.
(d) Find L and E for motion in a circle of radius a.
(e) Find the period of circular motion and the period of small radial oscillations.
(f) Show that the nearly circular orbits are almost closed when a is very small

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Science leeo 11 months 2024-12-10T20:21:05+05:00 2024-12-10T20:21:05+05:00 1 Answer 13 views Beginner

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