VITEEE 2010 Paper

According to Bohr's theory of hydrogen atom,
(i) The speed of the electron in the nth orbit
Vn=

1

n

e2

4πε0(h∕2π)

or vn∝

1

n

(ii) The energy of the electron in the nth orbit
En=

me4

8n2ε02h2

=−

13.6

n2

eV or En∝

1

n2

(iii) The radius of the electron in the nth orbit
rn=

n2h2ε0

πme2

=n2a0 or rn∝n2
where a0=

h2ε0

π‌me

=5.29×10−11 m