If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electrons
are having energy 0.04 eV.
The probability of finding a particle inside the classical limits for an oscillator in its normal state is
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The expected value of P for the wave function is given
In rectangular box with sides L and 2L, the two states |2, 8 > and | 4, 4 > have
The energy of a linear harmonic oscillator in third excited state is 0.1 eV. Then what is the frequency of vibration.
The wavefunctions of two identical particles in stated n and s are given by and respectively. The particles obey Maxwell-Boltzmann statistics. The state of the combined two-particle system is expressed as
Two identical particles have to be distributed among three energy levels. Let rB, rr and rc represent the ratios of probability of finding two particles to that of finding one particle in a given energy state. The subscripts B. F and C correspond to whether the particles are bosons, fermions and classic particles, respectively. The, rB : rF: rc is equal to
Ratio of the radius of 79Au197 nucleus with the radius of its innermost Bohr orbit is
What is the value of distance of closest approach of a 3 MeV proton to a gold nucleus.
Find the binding energy of lithium nucleus for the given data
Mp= 1.00814 a.m.u
Mn = 1.0089 a.m.u.
MLi = 7.01822 a.m.u.
The electronic energy levels in a hydrogen atom are given by by En = - 13.6/n2 eV. If a selective excitation to the n = 50 level is to be made using a laser, the maximum allowed frequency line - width of the laser is
A particle of mass m is confined in the potential
let the wave function of the particle be given by
where are the eigenfunction s of the first excite d state and the second excited state respectively. The expectation value of the energy is
The normalized ground state wavefunction of a hydrogen atom is given by where a is the Bohr radius and r is the distance of the electron from the nucleus, located, at the origin. The expectation value is
The ground state wavefunction for the hydrogen atom is given by where a0 is the Bobr radius. The plot of the radial probability density, P(r) for the hydrogen atom in the ground state is
A 1.00 g marble is constrained to roll inside a tube of length L = 1.00 cm. The tube is capped at both ends. Modelling this as a one-dimensional infinite square well, determine the value of the quantum number n if the marble is initially given an energy of 1.00 mJ. and then Calculate the exitation energy required to promote the marble to the next available energy state.
and the exitation energy is A x 10-32 J. The value of A is.
Which of the following nuclear reactions are possible?
A particle of mass m0 moves with speed c/√2, then its
A rod has length 100 cm. when the rod is in a satellite moving with a velocity that is one-half of the velocity of light relative to the laboratory, then
If the momentum of an electron is 10 times its rest mass times the speed light, then
A particle of rest mass m is moving with a with a velocity 0.9c; then
Let Find the real value of A which normalises in this equation.
An electron has a speed of 100 m/s with an accuracy of 0.005%. The uncertainty in position will be in x meter,
the value of x is ?
Sum of all Eigen values of (pauli spin matrix) are___.
A particle is described by the wave function where is the particle most likely to be found?
Determine the time [in day as measured by a clock at rest (on the rocket) taken by a rocket to reach a distant star and return to earth with a constant velocity if the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).
Consider a system of eight non interacting, identical quantum particles of spin -3/2 in a one dimensional box of length L. The minimum excitation energy of the system , in units of is____.
A Two- dimensional square rigid box of side L contains eight non-interacting electrons at T = ok. The mass of the electron is m. The ground state energy of the system of electrons, in units of is ____.
An electron of mass m is confined to a one-dimensional box of length b. If it makes a radiative transition from second excited state to the ground state, the frequency of the photon emitted is _____
The de-Broglie wavelength for a He atom travelling at 1000 m/5 (typical speed at room temperature) i s __________ x10-12m•
ln units of the energy difference between levels corresponding to 3 and 2 node dimensional box of length l is ______.