Answer the following 4 questions on the basis of given below :
Dual Nature of Matter -
Light and other electromagnetic radiations have dual nature i.e., wave and particle nature. Interference and diffraction phenomenon show the wave nature of light whereas the photoelectric effect and black body radiation phenomenon support the particle nature of light. Louis de Broglie (1924) suggested on the same grounds that all moving material particles (macroscopic well macroscopic) also have the dual nature i.e., wave and particle nature. However, the wave associated with matter, known as matter wave has characteristics different from the electromagnetic wave. The two characters of matter are related by deBroglie equation as;

where
denotes the wavelength associated with the moving matter object of mass m and velocity v and p denotes the momentum the object.
Davisson and Germer determined the wavelength of matter wave associated with electrons (accelerated by a exactly known electrode potential) by studying their diffraction patterns from nickel crystal and using the relation:
where 'd' denotes the spacing of lattice planes in nickel crystal,
the grazing angle of incidence on the planes and n(1, 2, 3 etc) the order of refletion.
The experimentally determined value of
from Eq. (2) is found to be in excellent agreement with the value of wavelength calculate using de Broglie equation as;

where ‘e’ is the electronic charge (coulombs) and V (volts) is the acceleration potential.
The momentum of hydrogen atom is given by;