EASY
Earn 100

What is matter wave?

Important Questions on Waves

MEDIUM
If the uncertainty in the position of an electron is 10-10 m, then the value of uncertainty in its momentum will be _____ kg ms-1. h=6.62×10-34 J-s
HARD
An electron in an electron microscope with initial velocity v0i^ enters a region of a stray transverse electric field E0j^. The time taken for the change in its de-Broglie wavelength from the initial value of λ to λ3 is proportional to,
HARD
The de-Broglie wavelength λB associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state λG by:
MEDIUM
A particle A of mass m and initial velocity v collides with a particle B of mass m2 which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelengths λA to λB after the collision is:
EASY
An electron of mass m and a photon have same energy E. The ratio of de-Broglie wavelengths associated with them is:
(c being velocity of light)
MEDIUM
If an electron and a proton have the same de-Broglie wavelength, then the kinetic energy of the electron is
EASY
Which of the following figures represent the variation of particle momentum and the associated de-Broglie wavelength?
EASY
Two particles A and B of same mass have their de-Broglie wavelengths in the ratio XA :XB=K :1. Their potential energies UA :UB=1 :K2. The ratio of their total energies EA :EB is
EASY
In an electron microscope, the resolution that can be achieved is of the order of the wavelength of electrons used. To resolve a width of 7.5×10-12 m, the minimum electron energy required is close to:
EASY
De-Broglie wavelength of an electron accelerated by a voltage of 50V is close to e=1.6×10-19 C, me=9.1×10-31 kg,  h=6.6×10-34 s
MEDIUM
According to de-Broglie hypothesis, the wavelength associated with moving electron of mass m is λe. Using mass energy relation and Planck's quantum theory, the wavelength associated with photon is λp. If the energy (E) of electron and photon is same then relation between λe and λp is
HARD
Four electrons, each of mass me are in a one dimensional box of size L. Assume that, the electrons are non-interacting, obey the Pauli exclusion principle and are described by standing De Broglie waves confined within the box. Define α=h28meL2 and U0 to be the ground state energy. Then,
EASY
The mean momentum of a nucleon inside a nucleus with mass number A varies as
EASY
In Raman scattering, Stokes and Antistokes lines respectively represents lines with ______ and ______ wavelength.
EASY
Two electrons in two hydrogen-like atoms A and B have their total energies EA and EB in the ratio EA:EB=1 :2 . Their potential energies UA and UB are in the ratio UA :UB=1 :2 . If λA and λB are their de-Broglie wavelengths, then λA :λB is
EASY
The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m is:
EASY
The de-Broglie wavelength λn of the electron in the nth orbit of hydrogen atom is
MEDIUM

The de-Broglie wavelength associated with the electron in the n=4 level is:

EASY
Match list-I (Fundamental Experiment) with List-II (its conclusion) and select the correct option from the choices given below the list:
 
   List-I    List-II
A Franck-Hertz Experiment (i) Particle nature of light
B Photo-electric experiment (ii) Discrete energy levels of the atom
C Davison-Germer Experiment (iii) Wave nature of electron
    (iv) Structure of atom
EASY
Matter waves are