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Calculate the Radius of Second Bohr Orbit in Hydrogen Atom from the Given Data - Physics

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Sum

Calculate the radius of second Bohr orbit in hydrogen atom from the given data.

Mass of electron = 9.1 x 10-31kg

Charge on the electron = 1.6 x 10-19 C

Planck’s constant = 6.63 x 10-34 J-s.

Permittivity of free space = 8.85 x 10-12 C2/Nm2

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Solution

`r_n=((h^2epsilon_0)/(pime^2))n^2`


`:.r_2=((h^2epsilon_0)/(pime^2))(2)^2`

`r_2=((6.63xx10^(-34))^2xx8.85xx10^(-12)xx(2)^2)/(3.14xx9.1xx10^(-31)xx(1.6xx10^(-19))^2)`

`=(43.96 xx 10^-68 xx 8.85 xx 10^-12 xx 4)/(3.14 xx 9.1 xx 10^-31 xx 2.56 xx 10^-38)`

 =2.127x10-10m

=2.127 A° 

Concept: Bohr’s Model for Hydrogen Atom
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