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Question : 7
Total: 26
Show that the radius of the orbit in hydrogen atom varies as n 2 , where n is the principal quantum number of the atom.
Solution:
Showing that the radius of orbit varies as n 2
=
orm v 2 r =
e 2 .......(i)
m v r =
m 2 v 2 r 2 =
.......(ii)
Divide (ii) by (i)
m r =
×
∴ r =
⋅ 4 π ε 0
∴ r ∝ n 2
(Give full credit to any other correct alternative method)
or
Divide (ii) by (i)
(Give full credit to any other correct alternative method)
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