Question

The number of waves in an orbit are :

• A. $n^2 $
• B. $n $
• C. $n - 1 $
• D. $n - 2 $

Answer 1

Answer: (B)

$\frac{ h }{ mv }=\lambda$
De-Broglie concept $\frac{ nh }{2 \pi}= mvr \quad$....Bohr's stationary orbit
$\therefore \frac{ nh }{ mv }=2 \pi r$
$\Rightarrow n \lambda=2 \pi r \text {. }$
Thus in $2 \pi r$ distance $n$ waves are present.
Hence $n$ waves are present in an orbit.