Test: Quantum Mechanics - 2 - Physics MCQ
20 Questions MCQ Test GATE Physics Mock Test Series 2025 - Test: Quantum Mechanics - 2
An electron with energy 'E' is coming from far left to a potnetial step at x = 0. If E/V =9/8 then ratio of wavelength (λ1/λ2) of electron in region I and II is (Upto two decimal places)
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Wavefunction of a particle iii some one dimension potential is given by,
where k is the positive real constant. Probability of:finding the particle between x = 0 and x = a/4 is _____ %. (Upto two decimal places)
where k is the positive real constant. Probability of:finding the particle between x = 0 and x = a/4 is _____ %. (Upto two decimal places)
Consider the spin state of a system in 
reresentation
What is the average value of the operator 
corresponding to the x-component of the spin.
Find the eigenvalues of the component of spin operator 
of an electron in direction of a unit vector with spherical coordinates 
do not depent on direction 
They are always 
An operator 
operates on a state vector such that 
is known to be existed, then 
represent the total angular momentum operator. The value of 
is
A particle of mass m is being scattered by a potential given by V(r) = 
The differential cross-section calculated by Born's approximation is
Consider a particle in the 1-D potential well given by
Now, a small perturbation is added to the well given as
The first-order correction to the energy of second energy level, is
In a two-dimensional vector space spanned by basis vectors 
Two vectors in this space are given as
An operator 
is represented by matrix.
An electron is placed in an uniform magnetic field 
where 
points in the direction of vector 
The Hamiltonian of the system is H = 
is a constant and 
are pauli matrices Energy of ground state in terms of kB0
A particle of mass 'm' with in box of length L, the wave function of the state is given by
then the energy of the particle of the state is
A linear harmonic oscillator is perturbed by the potential V' (x) = ax2-bx4; a and b constants. If first order energy correction to the second excited energy level is zero then 
in units of 
is (Upto two decimal places)
The wave function of a hydrogen atom is given by 
where 'a0' is Bohr radius and 
is spherical harmonic function for l = 2 and m = 0. If probability of finding the electron is maximum at 'rmp' and average distance between electron and proton is <r> then ratio of the two 
is (upto two decimal places)
Angular frequency for a wave propagating inside a waveguide is given in terms of the wave number K and the width of the guide b as
If group velocity is 3/4th of the velocity then k is
Seven spin -3/2 identical non-interacting particle are subjected to the potential given as
The lowest energy of the system is
A particle of mass 'm' in 1-D harmonic oscillator potential 
In the non-relativistic limit, where the kinetic energy T and momentum P are related as T = p2/2m. The ground state energy is known to be 
For the relativestic corrections in relation between T and P, calculate energy shift in ground state to the order of 1/c2 (c is speed of light in vacuum)
The wave function of a one-dimensional system is given as
where A, n and a are positive constants. The form of the potential if V(x) → 0 
The wavefunction of a hydrogen atom is given by
where a0 is Bohr radius and 
is spherical harmonic function for l = 1 and m = 0. What is the dispersion in the measurement of distance of electron from nucleus?
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Important Questions for Quantum Mechanics - 2
Quantum Mechanics - 2 MCQs with Answers
Online Tests for Quantum Mechanics - 2 GATE Physics Mock Test Series 2025
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