Find out the number of waves made by a Bohr electron in one complete revolution in its third orbit.

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Solution

The correct option is A $3$
No. of waves made by Bohr electron in one complete rotation $= \frac{2 π r}{λ}$ .
$∵ m v r = \frac{n h}{2 π}$
$∴ 2 π r = \frac{n h}{m v} = n λ \dots [∵ λ = \frac{h}{m v}]$
$\frac{2 π r}{λ} = n$
$∴$ no. of waves $= n = 3$ [ $n = 3$ for required orbit.]

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Find out the number of waves made by a Bohr electron in one complete revolution in its third orbit.

The correct option is A 3No. of waves made by Bohr electron in one complete rotation=2πrλ.∵mvr=nh2π∴2πr=nhmv=nλ…[∵λ=hmv]2πrλ=n∴ no. of waves =n=3 [n=3 for required orbit.]

The correct option is A $3$
No. of waves made by Bohr electron in one complete rotation $= \frac{2 π r}{λ}$ .
$∵ m v r = \frac{n h}{2 π}$
$∴ 2 π r = \frac{n h}{m v} = n λ \dots [∵ λ = \frac{h}{m v}]$
$\frac{2 π r}{λ} = n$
$∴$ no. of waves $= n = 3$ [ $n = 3$ for required orbit.]