Dual Nature of ...

An electron of mass m with an initial velocity $$\overrightarrow{V}=V_0\hat{i}(V_0 > 0)$$ enters an electric field $$\overrightarrow{E}=-E_0\hat{i}$$($$E_0=$$constant $$> 0$$) at $$t=0$$. If $$\lambda_0$$ is its de-Broglie wavelength initially, then its de-Broglie wavelength at time t is?

Electrons of mass m with de-Broglie wavelength $$\lambda$$ fall on the target in an X-rays tube. The cutoff wavelength $$(\lambda_0)$$ of the emitted X-rays is

If the kinetic energy of a particle is increased by 16 times, the percentage change in the de Broglie wavelength of the particle is:

De Broglie wavelength $$\lambda$$ associated with neutrons is related with absolute temperature T as:

If we assume kinetic energy of a proton is equal to energy of the photon, the ratio of de Broglie wave length of proton to photon is proportional to :

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

Hard X-rays for the study of fractures in bones should have a minimum wavelength of $$\displaystyle { 10 }^{ -11 }m$$. The accelerating voltage for electrons in X-ray machine should be:

The de Broglie wavelength of a neutron when its kinetic energy is $$K$$, is $$\lambda$$. What will be its wavelength when its kinetic energy is $$4K $$?

The beam of light has three wavelengths $$4144\overset {\circ}{A}, 4972\overset {\circ}{A}$$ and $$6216\overset {\circ}{A}$$ with a total intensity of $$3.6\times 10^{-3}Wm^{2}$$ equally distributed amongst the three wavelengths. The beam falls normally on the area $$1\ cm^{2}$$ of a clean metallic surface of work function $$2.3\ eV$$. Assume that there is no loss of light by reflection and that each energetically capable photon ejects one electron. Calculate the number of photoelectrons liberated in $$2s$$.

The momentum of a proton is p. The corresponding wavelength is