Number of waves produced by an electron in one complete revolution in $n^{t h}$ orbit is:

n

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n^{2}

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(n + 1)

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(2 n + 1)

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Solution

The correct option is C $n$
Number of waves $= \frac{C i r c u m f e r e n c e o f e l e c t r o n s o r b i t a l}{w a v e l e n g t h}$
$= \frac{2 π r}{λ}$
$∵ λ = h / m V \Rightarrow$ Number of waves $= \frac{2 π (m V r)}{h}$
$∴ m V r = \frac{n h}{2 π} =\Rightarrow \frac{2 π m V r}{h} = n$
Number of waves $= n$

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Number of waves produced by an electron in one complete revolution in nth orbit is:

The correct option is C nNumber of waves =Circumferenceofelectronsorbitalwavelength=2πrλ∵λ=h/mV⇒ Number of waves =2π(mVr)h∴mVr=nh2π=⇒2πmVrh=nNumber of waves =n

Number of waves produced by an electron in one complete revolution in $n^{t h}$ orbit is: