Grade 12th passPhysical Chemistry
Show that the velocity of an electron in the first bohrs orbit is (1/137)c where c is velocity of light
Show that the velocity of an electron in the first bohrs orbit is (1/137)c where c is velocity of light
1 Answer
Arun
let us use the Bohr's hypothesis
Angular momentum of electron is integral multiple of h/2pi
So m v r = h / 2 pi
Now m = 9.1 * 10^-31 kg
r = 0.54 * 10^-10 m
h = 6.646 * 10^-32 J s
and pi = 3.14
Now you can compute v
Multiply by c and divide it by 3 * 10^8
You would get the required one and that will be 1/137 * C
Angular momentum of electron is integral multiple of h/2pi
So m v r = h / 2 pi
Now m = 9.1 * 10^-31 kg
r = 0.54 * 10^-10 m
h = 6.646 * 10^-32 J s
and pi = 3.14
Now you can compute v
Multiply by c and divide it by 3 * 10^8
You would get the required one and that will be 1/137 * C
Regards
Arun
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