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 is equal to the atomic mass number) as a function of the atomic mass number A. The
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In a region of space a particle of mass m has a wavefunction:
where a is a positive constant. Calculate:
i) the normalization constant N
ii) the potential energy of the particle if the total energy of the particle is zero.
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.
A spaceship is receding from the earth at a speed of 0.3c. A light on the spaceship emits light of wavelength λ = 4500 Å which appears blue to a passenger on the spaceship. What colour would the light appear to a person on earth?
A radioactive substance of 1 g is reduced to 2.1 mg in 5 years by alpha decay. Calculate the half-life of the substance.
Calculate (x) and (px) for the ground state harmonic oscillator eigenfunction.
State Moseley’s law. Using this law, obtain the frequency of an X-ray line when an L to K transition takes place in a silver atom. Take σ = 3.
A spaceship is receding from the earth at a speed of 0.3c. A light on the spaceship emits light of wavelength λ = 4500 Å which appears blue to a passenger on the spaceship. What colour would the light appear to a person on earth?