Q# 4 (a) A beam of 8.3 MeV alpha particles is directed at an aluminum foil. It is found that the Rutherford scattering formula ceases to be obeyed at scattering angles exceeding about 60°. If the alpha-particle radius is assumed small enough to neglect here, find the radius of the aluminum nucleus.

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Q# 4 (a) A beam of 8.3 MeV alpha particles is directed at an aluminum foil. It is found that the
Rutherford scattering formula ceases to be obeyed at scattering angles exceeding about 60°. If the
alpha-particle radius is assumed small enough to neglect here, find the radius of the aluminum
nucleus.
(b) Classical Mechanics is an approximation of Quantum Mechanics. Discuss in detail.
Q# 5 (a) Derive steady state form of Schrodinger wave equations. Explain eigen values and eigen
functions. Also explain the validity of Schrodinger wave equation.
(b) Find the expectation value <x> for the first two states of a harmonic oscillator.
Transcribed Image Text:Q# 4 (a) A beam of 8.3 MeV alpha particles is directed at an aluminum foil. It is found that the Rutherford scattering formula ceases to be obeyed at scattering angles exceeding about 60°. If the alpha-particle radius is assumed small enough to neglect here, find the radius of the aluminum nucleus. (b) Classical Mechanics is an approximation of Quantum Mechanics. Discuss in detail. Q# 5 (a) Derive steady state form of Schrodinger wave equations. Explain eigen values and eigen functions. Also explain the validity of Schrodinger wave equation. (b) Find the expectation value <x> for the first two states of a harmonic oscillator.
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