State postulates of Bohr’s atomic model.Derive an expression for(a) radius (b) total energy (c) velocity of electron in nth orbit of hydrogen atom.

Explanation

Velocity of electron in nth orbit of hydrogen atom :
The electrostatic force of attraction `(F^(e ))` between the.revolving electrons and nucleus provides the necessary centripetal force `(F_(c ))` to keep the electrons in their orbits. Sov
`f_(c)=f_(e )`
`mv^(2)=(1)/(4piepsilon_(0))=(e^(2))/(r )`
-e=charge of electron
v= velocity of eelctron in nth orbit
substituting (ii) in equation (i)
Therefore speed of electron in nth orbit
`v=(e^(2))/(2n epsilon_(0)h)`