Dual Nature of ...

The de-Broglie wavelength $$(\lambda _B)$$ associated with the electron orbiting in the second excited state of hydrogen atom is relared to that in the ground state $$(\lambda _G)$$ by:

If the deBroglie wavelenght of an electron is equal to $$10^{3}$$ times the wavelength of a photon of frequency $$6 \times 10^{14} Hz$$, then the speed of electron is equal to : (Speed of light = $$3 \times 10^8 m/s$$ Planck's constant = $$6.63 \times 10^{34} J$$ . Mass of  electron = $$9.1 10^{31} kg$$)

If there is an increase in linear dimensions of the objects, the associated de-broglie wavelength.

A parallel beam of fast moving electrons is incident normally on a narrow slit. A fluorescent screen is placed at a large distance from the slit. if the speed of the electrons is increased , which of the following statements is correct?

If velocity of a particle is 3 times of that of electron and ratio of de brogile wavelength  of particle to that of electron is $$1.814\times { 10 }^{ -4 }.$$ The particle will be:-

A particle moves in a closed orbit around the origin, due to a force which is directed towards the origin. The de Broglie wavelength of the particle varies cyclically between two values $${ \lambda  }_{ 1 }$$ and $${ \lambda  }_{ 2 }$$ with $${ \lambda  }_{ 1 }>{ \lambda  }_{ 2 }.$$ Which of the following statement is true?

During an experiment an $$\alpha $$-particle and a proton are accelerated by same positive difference , their de broglie wavelength ratio will (Take mass of proton= mass of neutron).

You are given an electron with a deBroglie wavelength of $$\lambda =76.3$$ nm. What is the Kelvin temperature of this electron ? 

In a photoelectron experiment, the stopping potential from the photoelectrons is $$2V$$ for the incident of wavelength $$400 nm$$. If the incident light is changed to $$300 nm$$, the cut-off potential is:

The K.E. of electron and photon is same then the relation between their  De- Broglie wavelength: