Question

An electron of mass 'm' is rotating in first Bohr orbit of radius 'r' in hydrogen atom. The orbital acceleration of the electron in first orbit (h = Planck's constant).

Options

• h/4 π²mr²

• h/2 π²

• h²/2π² m²r²

• h²/4π² m²r²

Answer 1

h²/4π² m²r² 

Explanation:

L = mvr = `"nh"/(2pi)`

`therefore "v" = "nh"/(2pi"mr")`

`=> "v"^2 = ("n"^2"h"^2)/(4pi^2"m"^2"r"^2)`

`=> "v"^2/"r" = ("n"^2"h"^2)/(4pi^2"m"^2"r"^3)`