Question

Find out the number of waves made by a Bohr electron in its 3rd orbit.​

Answer 1

Answer:

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Explanation:

In general, the number of waves made by a Bohr electron in an orbit is equal to its quantum number. Thus the circumference of the 3rd orbit is equal to 3 times the wavelength of electron i.e. the electron makes three revolution around the 3rd orbit.

Answer 2

No. of waves made by Bohr electron in one complete rotation = $\frac{2\pi r } {λ}$ ($λ$=λ)

∵ mvr = $\frac{nh}{2\pi }$

∴ 2πr = $\frac{nh}{mv}$ = nλ .... ( ∵ λ = $\frac{h}{mv}$ )

$\frac{2\pi r } {λ}$ ($λ$=λ) = n

∴ no. of waves = n = 3   [n=3 for required orbit.]