First slide

Bohr's atom model

Question

Angular momentum (L) and radius (r) of a hydrogen atom are related as

Easy

A

$L r = constant$
B

$L r^{2} = constant$
C

$L r^{4} = constant$
D

$L r^{- \frac{1}{2}} = c o n s \tan t$

Solution

$r = \frac{ε_{0} n^{2} h^{2}}{e^{2} π m} = \frac{ε_{0} (2 π L)^{2}}{ε^{2} π m} (L = n \frac{h}{2 π} or n h = 2 π L) ∴ L r^{- \frac{1}{2}} = constant$

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