TS EAMCET 6-Aug-2021 Shift 2 Question Paper

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

1

n

‌

e2

4πε0(h∕2π)

or, ‌‌vn∝‌

1

n

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

me4

8n2ε02h2

or, En∝‌

1

n2

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

n2h2ε0

πme

‌ or ‌rn∝n2
So, the correct ratio is 1∕n:1∕n2:n2.