Dual Nature of ...

If $$10,000V$$ are applied across an X-ray tube, find the ratio of wavelength of the incident electrons and  the shortest wavelength of X-ray coming out of the X-ray tube, given $$e/m$$ of electron $$=1.8\times10^{11}\space C\space kg^{-1}$$.

The electron cannot exist inside the nucleus because

The circumference of the second Bohr orbit of electron in hydrogen atom is $$600nm$$. The potential difference that must be applied between the plates so that the electrons have the de Broglie wavelength corresponding in this circumference is

On the basis of the uncertainty principle it can be proved that

The de-Broglie  wavelength of a proton $$(mass=1.6 \times 10 ^{-27} kg)$$ accelerated through a potential difference of 1 kV is :

A particle with rest mass $$'m_0\ '$$ is moving with speed of light 'c'. The de-Broglie wavelength associated with it will be

If $$E_1, E_2, E_3$$ are the respective kinetic energies of an electron, an $$\alpha$$-particle and a proton, each having the same de-Broglie wavelength, then

The de-Broglie wavelength of a neutron at $$972^o C$$ is $$\lambda$$.
What will be its wavelength at $$27^o C$$ ? 

A steel ball of mass m is moving with a kinetic energy 'K'. The de-Broglie wavelength associated with the ball is 

Two insulating plates are both uniformly charged in such a way that the potential difference between them is $$V_2-V_1=20 V$$. (i.e., plate 2 is at a higher potential). The plates are separated by $$d=0.1$$ m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate $$1$$. What is its speed when it hits plate $$2$$?
$$(e=1.6 \times 10^{-19} C, m_e=9.11 \times 10^{-31} kg)$$