Question

The number of waves in an orbit are :

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

Answer 1

Answer: (B)

$n$

Answer 2

$\frac{ h }{ mv }=\lambda$
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.