In Bohr’s Model Of Hydrogen Atom, The Radius Of The First Electron Orbit Is 0.53 Å. What Will Be The Radius Of The Third Orbit? What Of The First Orbit Of Singly-ionised Helium Atom?

An -part ale of energy 5Mev is scattered through 180 by a fined uranium nucleus. The distance of the closed approach is of the order of:

An -particle with kinetic energy 10 MeV is heading towards a stationary point-nucleus of atomic number Z = 50. Calculate the distance of closest approach.

An -particle with kinetic energy 10 MeV is heading towards a stationary point-nucleus of atomic number Z = 50. Calculate the distance of closest approach.

What is the distance of closest approach when a 5.0 MeV proton approaches a gold nucleus (Z = 79)? Given, 

.

An -particle after passing through a potential difference of  falls on a silver foil. The atomic number of silver is 47. Calculate the kinetic energy of the -particle at the time of falling on the foil. 

A beam of -particles of velocity  is scattered by a gold (Z = 79) foil. Find out the distance closest approach of the -particle to the gold nucleus. The value of charge/mass for -particle is .

What is the upper limit of the radius of the gold nuclues (Z = 79), if an -particle of energy 12.5 MeV is deflected back by the nucleus through 180^o.

In a head-on collision between an -particle and gold (Z = 79) nucleus, the closest distance of approach is 41.3 fermi. Calculate the energy of the -particle. (1 fermi = 10^–15 m) 

Write down the expression for the radii of orbits of hydrogen atom. Calculate the radius of the smallest orbit. 

Which energy state of the triply ionized beryllium (Be⁺⁺⁺) has the same orbital radius as that of the ground state of hydrogen? Compare the energies of the two states.