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The acceleration of electron in the first orbit of hydrogen atom is ______. -

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Question

The acceleration of electron in the first orbit of hydrogen atom is ______.

Options

  • `(4pi^2"m")/"h"^2`

  • `"h"^2/(4pi^2"mr")`

  • `"h"^2/(4pi^2"m"^2"r"^2)`

  • `("m"^2"h"^2)/(4pi^2"r"^3)`

MCQ
Fill in the Blanks

Solution

The acceleration of electron in the first orbit of hydrogen atom is `"h"^2/(4pi^2"m"^2"r"^2)`.

Explanation:

From mvr = `"nh"/(2pi) , "v" = "nh"/(2pi"mr")`

Acceleration, a = ` "v"^2/"r" = ("n"^2"h"^2)/(4pi^2 "m"^2 "r"^2(r))`

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Bohr’s Atomic Model
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