List of top Physics Questions on de broglie hypothesis

Explain how the dual aspect of matter is evident in the de Broglie relation.
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.
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
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
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?
The ratio of the respective de Broglie wavelengths of two particles with kinetic energy of 0.02 eV and 2 eV is ________.
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 ______.
Let $E_{e}$ and $E_{p}$ represent kinetic energy of electron and photon. If de-Broglie wavelength of photon is twice that of electron, find $E_p/E_e$ (speed of electron $= c/100$)}
An electron accelerated by a potential difference '$V$' has de-Broglie wavelength '$\lambda$'. If the electron is accelerated by a potential difference '$9 \text{ V}$', its de-Broglie wavelength will be}
An electron accelerated by a potential difference '$V$' has de-Broglie wavelength '$\lambda$'. If the electron is accelerated by a potential difference '$9 \text{ V}$', its de-Broglie wavelength will be}
A proton accelerated through a potential difference of V volts has a de-Broglie wavelength \(\lambda\) associated with it. In order to get the same wavelength associated with an \(\alpha\)-particle, the required accelerating potential is
The de-Broglie wavelength of a moving bus with speed \( v \) is \( \lambda \). Some passengers left the bus at a stop. Now, when the bus moves with twice of its initial speed, its kinetic energy is found to be twice of its initial value. What is the de-Broglie wavelength of the bus now?
A photon and an electron have the same energy \( E \). If \( \lambda_p \) is the wavelength of the photon and \( \lambda_e \) is the de Broglie wavelength of the electron, then the ratio \( \frac{\lambda_p}{\lambda_e} \) is:
The de-Broglie wavelength associated with a ball of mass 150 g traveling at 30.0 m/s would be