Dual Nature of ...

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

A particle $$A$$ of mass $$m$$ and initial velocity $$v$$ collides with a particle $$B$$ of mass $$\dfrac{m}{2}$$ which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelengths $${\lambda}_A$$ to $${\lambda}_B$$ after the collision is :

For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?

If electron charge e, electron mass m, speed of light in vacuum c and Planck's constant h are taken as fundamental constant h are taken as fundamental quantities, the permeability of vacuum $$\mu_0$$ can be expressed in units of

De-Broglie wavelength of an electron accelerated by a voltage of 50 V is close to: $$(|e|=1.6 \times 10^{-19} C, m_e=9.1 \times 10^{-31}kg, h=6.6 \times 10^{-34} Js).$$ 

Photon of frequency $$'v\ '$$ has a momentum associated with it. If $$'c\ '$$ is the velocity of light, the momentum is 

A parallel beam of electrons travelling in x-direction falls on a slit of width d. If after passing the slit, an electron acquires momentum $$p_y$$ in the y direction, then for a majority of electrons passing through the slit (h is Planck's constant).

Two electrons are moving with non-relativistic speeds perpendicular to each other. If corresponding de Broglie wavelengths are $${ \lambda  }_{ 1 }$$ and $${ \lambda  }_{ 2 }$$, their de Broglie wavelength in the frame of reference attached to their centre of mass is:

The de-Broglie wavelength $$(\lambda_{B})$$ associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state $$(\lambda_{G})$$ by :

An electron (mass $$m$$) with initial velocity $$\vec { v } ={ v }_{ 0 }\hat { i } +{ v }_{ 0 }\hat { j } $$ is an electric field $$\vec { E } =-{ E }_{ 0 }\hat { k } $$. If $${ \lambda  }_{ 0 }$$ is initial de-Broglie wave length at time $$t$$ is given by