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Question
In Bohr model, speed of electron in nth orbit of hydrogen atom is ______. (b = Planck's constant, n = principal quantum number, ∈0 is the permittivity of free space, e = electronic charge)
Options
`"e"/(∈_0"hn")`
`"e"^2/(∈_0"hn")`
`"e"/(2∈_0"hn")`
`"e"^2/(2∈_0"hn")`
MCQ
Fill in the Blanks
Solution
In Bohr model, speed of electron in nth orbit of hydrogen atom is `underline("e"^2/(2∈_0"hn"))`.
Explanation:
`"mv"^2/"r" = "e"^2/(4pi∈_0"r"^2)`
`=> "mvr" = "nh"/(2pi)`
`therefore "mv"^2"r" = "nhv"/(2pi) = "e"^2/(4pi∈_0)`
`therefore "v" = "e"^2/(2"nh"∈_0)`
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Bohr’s Atomic Model
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