Question

Show mathematically how bohr's postulate of quantization of orbital angular momentum in h atom is explained by de broglie hypothesis

Answer 1

bohr said that atom has spherical shape and it contain a nucleus in its centre. which contains protons and neutrons and he told about electrons that they are in orbit .There were four shells or orbit in an atom. Bohr name them k L M N where k contain 2 e ,L contains 8 e ,M contain 18 e and N contain 32 e

mathematical formula -

for first shell=2n*2

=2 (1)*2

=2×1

=2e

for second shell=2n*2

=2 (2)*2

=2×4

=8e

for third shell=2n*2

=2 (3)*2

=2×9

=18e

for fourth shell=2n*2

=2 (4)*2

=2×16

=32e