Class 11 Chemistry - Chapter Structure of Atom NCERT Solutions | Show that the circumference of the Bohr

Welcome to the NCERT Solutions for Class 11th Chemistry - Chapter Structure of Atom. This page offers a step-by-step solution to the specific question from Exercise 1, Question 32: show that the circumference of the bohr orbit for....
Question 32

Show that the circumference of the Bohr orbit for the hydrogen atom is an integral multiple of the de Broglie wavelength associated with the electron revolving around the orbit.

Answer

The angular momentum of an electron = mvr = nh/2π --------------1

Also according to de Broglie equation λ = h/mv

Or

mv = h/v -----------2

Putting 2 in 1

h/v =nh/2π or 2λr= nλ

Since ‘2πr’ represents the circumference of the Bohr orbit (r), it is proved by equation (3) that the circumference of the Bohr orbit of the hydrogen atom is an integral multiple of de Broglie’s wavelength associated with the electron revolving around the orbit.

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