BSc Physics SEM IV 2019 20 Oct 2019-20 ATKT PHYSICS II Question Paper - Mumbai University | munotes

Questions asked in this paper

• ii) Figures to the right indicate full marks

1. Q1 A]Select the correct option: levels of a bound system are
   • (b)continuous (c)discrete or continuous (djdiscrete & continuous Zero point energy is in conformity
   • 4) of liquid helium at atmospheric pressure 1s explained The potential energy of a free particle is energy levels of harmonic oscillators spaced
2. Q1 B] Answer in one statement: one example of tunneling efiect 2, What do you mean by bound states of particle?
3. Q1 C] Fill in the blanks: mechanics in nature most fundamental equations of wave mechanics are called equations
   • 3)Probability that the incident particle is reflected iscalled higher values of quantum behavior matches with the classical behavior.this is termed
   • 5)In case of step potential if energy of particle is less than barrier potential then penetration depth with increase in the mass of the particle Attempt any one: are operators? Write down the operators for momentum .total energy, kinetic energy & Attempt any one:
   • a)State the conditions of a wave & show that +
   • b)Starting from one dimensional simple harmonic progressive wave. derive classical wave
4. Q2 C| Attempt any one: - [4M] the normalized wave function of an oscillator is given by.y = function of the operator is w = the corresponding eigen value
5. Q3 A| Attempt any ome: the 1-D STDE for a free particle Obtain its general solution & interpret it
   • b)An a- particle having energy 10Mev approaches a potential step of height Mev from the relative probability density of finding the particle just as it crosses to the right of the step at and also at Given:=1.054 x mg = 6.68 X ke Attempt any one: is meant by 1-D infinitely deep potential well? Obtain an expression for the allowed energy levels & the corresponding eigen functions for a particle of mass in such a potential
   • b) A particle approaches a step potential of height V, with energy Eo, Discuss quantum mechanical behavior of the motion of a particle when Eo> Vo
6. Q3 C| Attempt any one:
   • 4) Estimate the zero point energy for a neutron by treating it as if it were in an infinite square well of width equal to a nuclear diameter of > 1.67x h = 6.62 x consider the problem to be one bh) The energy of a particle ina box in the first excited state is deV its ground state Attempt any one: the help of a tunnel effect , explain the phenomenon of .Show that the decay constant depends on the transition probability
   • b)For a potential well of finite height & width mark the 3 regions.Obtain the wave functions regions & explain tunnel effect
7. Q4 B] Attempt any one:
   • a) can an particle actually escape from the nucleus.Calculate the zero point energy of @ system consisting of mass of fixed to a spring which is stretched by 1 cm by a force of
   • 10.000 dynes, the movement being constraint only along x-axis
8. Q4 C] Attempt any one:
   • a) For an electron beam of energy 3 eV incident en a potential barrier of height 4eV.Width of barrier is 20 A.U.Caleulate the % transmission of the beam through the barrier
   • b)Define simple harmonic oscillator & obtain expression for its potential energy & total ene
9. Q5 | Answer the following: four] [20M
   • a)An eigen function of the operator is y= find the corresponding eigen value
   • b)Normalize the following wave function. = sin < | n is an integer
   • c)Find the zero point energy in electron volt of a pendulum whose period is
   • d)An electron with energy eV encounters a potential step of height Vo.If the probability o4 reflection of the is 50%. find Vo that a particle in a box cannot have zero energy. Why is the ground state energy the zero point energy? a free particle show that STIE leads to de-broglie relation

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