If the radius of the first orbit of hydrogen atom is a 0 , then de Broglie’s wavelength of electron in 3 rd orbit is

Question

If the radius of the first orbit of hydrogen atom is a 0 , then de Broglie’s wavelength of electron in 3 rd orbit is, π a 0 6, π a 0 3, 6 π a 0, 3 π a 0

MARKS App · Accepted Answer

According to Bohr's angular momentum equation, m v r = n h 2 π The angular momentum equation for third orbit is m v r = 3 h 2 π 2 π r 3 = h m v According de Broglie's equation λ = h m v ∴ λ = 2 π 9 a 0 3 = 6 π a 0

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