NCERT Class XI Chemistry Structure of Atom Solutions
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Question : 32
Total: 67
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.
Solution:
According to Bohr’s theory, the angular momentum of an electron of mass (m) moving with speed (v) in an orbit of radius (r) is an integral multiple of
mvr =n h / 2 π n
But according to de Broglie equation, λ =
From equations (1) and (2), we get 2πr = nλ, i.e., an integral multiple of the de Broglie wavelength.
mvr =
But according to de Broglie equation, λ =
From equations (1) and (2), we get 2πr = nλ, i.e., an integral multiple of the de Broglie wavelength.
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