List of top Physics Questions on de broglie hypothesis

A proton and an electron have the same de Broglie wavelength. If $K_p$ and $K_e$ be the kinetic energies of proton and electron respectively. Then choose the correct relation:

A proton and an electron are associated with the same de-Broglie wavelength. The ratio of their kinetic energies is:
Given: $h = 6.63 \times 10^{-34} \, \text{Js}$, $m_e = 9.0 \times 10^{-31} \, \text{kg}$, and $m_p = 1836 \times m_e$

A proton, an electron, and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as:

The de-Broglie wavelength associated with a particle of mass $ m $ and energy $ E $ is \[\lambda = \frac{h}{\sqrt{2mE}}.\]The dimensional formula for Planck's constant is:

The de Broglie wavelengths of a proton and an $\alpha$ particle are $λ_p$ and $λ_\alpha$ respectively. The ratio of the velocities of proton and $\alpha$ particle will be :

The de-Broglie wavelength of an electron is the same as that of a photon. If the velocity of the electron is 25% of the velocity of light, then the ratio of the K.E. of the electron to the K.E. of the photon will be:

De Broglie wavelength of proton = $λ$ and that of an a particle $2λ$. The ratio of velocity of proton to that of $\alpha$ particle is

Determine ratio of de broglie wavelength of $α- particle$ and proton of same kinetic energy is

Electron beam used in an electron microscope, when accelerated by a voltage of $20 kV$, has a de-Broglie wavelength of $\lambda_0$. If the voltage is increased to $40 kV$, then the de-Broglie wavelength associated with the electron beam would be:

The ratio of de-Broglie wavelength of an $\alpha$ particle and a proton accelerated from rest by the same potential is $\frac {1}{\sqrt 𝑚}$ , the value of $m$ is-

Two base balls(masses; m₁=100g, and m₂=50g) are thrown. Both move with uniform velocity, but the velocity of m₂ is 1.5 times that of m₁.The ration of de Broglie wavelengths λ(m₁) : λ(m₂) is given by

The de Broglie wavelength of an electron having kinetic energy of 100 eV is

An electron with speed υ and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are E_e and p_e and that of photon are E_ph and p_ph respectively. Which of the following is correct?

An electron (mass m) with an initial velocity
$\vec{v}=v_0\hat{i}(v_0>0)$
is moving in an electric field
$\vec{E}=E_0\hat{i}(E_0>0)$
where E₀ is constant. If at t = 0 de Broglie wavelength is
$λ_0=\frac{ℎ}{mv_0}$
, then its de Broglie wavelength after time t is given by