Plot a graph between binding energy per nucleon as a function of mass number. Write the main features of the curve.
The key to energy production in stars lies in what nuclear physicists call the curve of binding energy, which is illustrated in the following figure.
This plot shows the amount of binding energy per nucleon (A nucleon is either a neutron or a proton. The nucleon number is the sum of the number of neutrons plus protons in a nucleus; thus, it
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Consider nuclei with small mass number A such that N = Z = A/2 . Neglecting
pairing term (∈) show that semi-empirical formula is given by
Obtain the value of A and Z for which binding energy per nucleon (BE / A) is maximum. Take β = 17.8, δ = 0.71.
If σ x, σ y and σz are three components of a Pauli spin matrix σ, then show tha
[σ x , σ y ] = 2i σ z ; [σ y , σ z ] = 2iσ x
Using the properties: Charge (Q), Lepton number (L), Baryon number (B) show that whether the following processes are allowed or not?
K − + p → Ω¯ + K + + K 0
π+ + p → p + p + ¯n
Calculate the de Broglie wavelength of an electron accelerated by a potential of 1000 V. Also calculate the wavelength of the X-rays that would be produced when these electrons strike a solid.
Plot a graph between binding energy per nucleon as a function of mass number. Write the main features of the curve.
The energy of a particle of mass m bound by a special kind of spring is
E = p2/2m + kx4
where k is a positive constant. Use the Heisenberg’s Uncertainty Principle to calculate the minimum possible energy of the particle.
Calculate (x) and (px) for the ground state harmonic oscillator eigenfunction.