Вопрос
Example 4 If the speed of electron in the first orbit of a hydrogen atom is 2cdot 10^6m/s, then according to Bohr's postulate, find the radius of this orbit (pm)
Решения
4.4
(151 Голоса)
Лидия
Экспертная проверка
мастер · Репетитор 5 лет
Ответ
To find the radius of the first orbit of a hydrogen atom according to Bohr's postulate, we can use the following formula:
where:-
is the radius of the nth orbit,-
is the principal quantum number (for the first orbit,
),-
is the Planck constant (
),-
is the mass of the electron (
),-
is the speed of the electron in the orbit (
).Substituting the given values into the formula:
To convert this to picometers (pm), we multiply by
:
Therefore, the radius of the first orbit of a hydrogen atom according to Bohr's postulate is approximately
.