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Calculate the Radius of Second Bohr Orbit in Hydrogen Atom from the Given Data - HSC Science (General) 12th Board Exam - Physics

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Question

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

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)`

`=(43.96xx10(-68)xx8.85xx10^(-12)xx4)/(3.14xx9.1xx10^(-31)xx2.56xx10^(-38))`

 =2.127x10-10m

=2.127 A°

  Is there an error in this question or solution?

APPEARS IN

 2013-2014 (March) (with solutions)
Question 6.2 | 3.00 marks
Solution Calculate the Radius of Second Bohr Orbit in Hydrogen Atom from the Given Data Concept: Bohr'S Model for Hydrogen Atom.
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