List of top Physics Questions on de broglie hypothesis

In terms of Planck's constant (h), permittivity of free space \((\epsilon_{0})\), mass of the electron (m) and charge of the electron (e), the de Broglie wavelength associated with the electron in the second orbit of hydrogen atom is
An electron is moving with initial velocity \(\overset{⃗}{v} = V_0\hat{j}\) in a magnetic field \(\overset{⃗}{B} = B_0\hat{i}\). Its de-Broglie wavelength will
The proton and \(α\) - particle are accelerated through same potential difference. Then the ratio of the de-Broglie wavelength of proton and \(α\) - particle is (mass of \(α\)-particle is \(4\) times mass of proton, charge of \(α\)-particle is \(2\) times charge of proton)
The de-Broglie wavelength of an electron moving in the \(n^{th}\) Bohr orbit of radius 'r' is
The de Broglie wavelength of the electron in the ground state is \(λ_1\) and that in the \(n = 3\) level is \(λ_3\) then \(λ_3\) is given by
If the kinetic energy of a particle is increased to 16 times, the percentage change in the de Broglie wavelength of a particle is
The kinetic energy of a free electron increases to 3 times the previous K.E. The ratio of new de-Broglie wavelength to previous de-Broglie wavelength is
An electron accelerated through a potential difference \(V_1\) has a de-Broglie wavelength of \(λ\). When the potential is changed to \(V_2\), its de-Broglie wavelength increases to \(2λ\). The value of \((V_1/V_2)\) is equal to
Radiation of wavelength \(\lambda\) is incident on a photosensitive surface. Find the de Broglie wavelength of electrons emitted from the surface. Assume that the work function of the surface is negligible.
Explain how the dual aspect of matter is evident in the de Broglie relation.
The kinetic energy of a charged particle is increased to four times of its initial value. The de Broglie wavelength associated with the particle will :
A proton and an alpha particle have equal momentum. The ratio of their kinetic energies (\(E_p /E_\alpha\)) and de Broglie wavelengths associated with them (\(\lambda_p /\lambda_\alpha\)) respectively are :
Find ratio \( \left(\frac{\lambda_a}{\lambda_p}\right) \) of the de Broglie wavelength \( \lambda_a \) and \( \lambda_p \) associated respectively with an alpha particle and a proton,
(i) if they are moving with the same kinetic energy.
(ii) just after they are accelerated through the same potential difference.
Find ratio \( \left(\frac{\lambda_a}{\lambda_p}\right) \) of the de Broglie wavelength \( \lambda_a \) and \( \lambda_p \) associated respectively with an alpha particle and a proton,
(i) if they are moving with the same kinetic energy.
(ii) just after they are accelerated through the same potential difference.
An electron and a proton possess same kinetic energy. If the de Broglie wavelengths of the electron and the proton are $\lambda_e$ and $\lambda_p$ respectively, identify the CORRECT relation.
For the same kinetic energy, the de Broglie wavelengths associated with particles of different masses are
Find the de Broglie wavelength associated with a thermal neutron of mass \(m\) at absolute temperature \(T\). \[ k=\text{Boltzmann constant}, \qquad h=\text{Planck's constant} \]
The mass of an electron is \(9.1\times10^{-31}\ \text{kg}\). If its K.E. is \(3.0\times10^{-25}\ \text{J}\), its wavelength is (approximately):
The de-Broglie wavelength of an electron in 4th orbit is (where \( r \) = radius of the 1st orbit)
Find the ratio of the de Broglie wavelengths of a proton and an alpha particle accelerated through the same potential difference.
Calculate the de-Broglie wavelength of an electron accelerated through a potential difference of \(100\text{ V}\).
The de-Broglie wavelength of a moving bus with speed \( v \) is \( \lambda \). Some passengers left the bus at a stoppage. Now when the bus moves with twice of its initial speed, its kinetic energy is found to be twice its initial value. What is the de-Broglie wavelength of the bus now?
An electron of mass 'm' and charge 'e' initially at rest gets accelerated by a constant electric field 'E'. The rate of change of de-Broglie wavelength of the electron at time 't' is (Ignore relativistic effect) ($h$ = Planck's constant) ______.
The wavelength '$\lambda$' of a photon and the deBroglie wavelength of an electron have same value. The ratio of kinetic energy of the electron to the energy of a photon is ______.
The ratio of the respective de Broglie wavelengths of two particles with kinetic energy of 0.02 eV and 2 eV is ________.