Dual Nature of ...

An electron of mass m and a photon have same energy E.The ratio of de-Broglie wavelengths associated with them is

What should be the ratio of the energies of radiations whose wavelengths are  $$3000 \mathring { A }$$   and  $$6000 \mathring { A }$$ ?

Mass of a photon with wavelength $$3.6A^{o}$$ moving with velocity of light is 

An $$\alpha$$ -particle is accelerated through a potential difference of V volts from rest.The de-Broglie's  was associated with it is-

With what velocity must an electron travel so that its momentum is equal to that of a photon of wavelength $$\lambda$$ = 5200$$\overset { \circ  }{ A } $$?

Light of frequency $$7.21 \times {10^{14}}Hz$$ is incident on a metal surface. The maximum speed of the photoelectrons  emitted is $$6.0 \times {10^5}m\,{s^{ - 1}}$$. what is the threshold frequency for the photoemission of electrons?

Sodium and copper have work functions 2.3 eV and 4.5 eV respectively. Then the ratio of the wavelengths . nearest to-

What should be the approximate K.E. of an electron so that its de -Broglie wavelength is equal to the wavelength of x -ray of maximum energy produced in an x -ray tube operating at 24,800 V? $$(h = 6.6 /\times 10^{-34}J - sec$$, mass of electron $$m =9.1 \times 10^{-31} kg)$$ (give answer in $$10^2 eV).$$

If the first Bohr's orbit of hydrogen is $$r_{ \circ  },$$ the de-Broglie wavelength of electron in $${ 3 }^{ rd }$$ orbit $$He^{ + }$$ is about

Find the velocity of electrons liberated by electromagnetic radiation of wavelength $$ \lambda =18.0$$ nm from stationary $$He^+$$ ions in the ground state.