The number of waves in an orbit are :

Question

The number of waves in an orbit are : (A) n2  (B) n  (C) n - 1  (D) n - 2

Tardigrade Admin · Accepted Answer

( h / mv )=λ De-Broglie concept ( nh /2 π)= mvr ....Bohr's stationary orbit ∴ ( nh / mv )=2 π r ⇒ n λ=2 π r text . Thus in 2 π r distance n waves are present. Hence n waves are present in an orbit.

Q. The number of waves in an orbit are :

$n^{2}$

$n$

$n - 1$

$n - 2$

$\frac{h}{m v} = λ$
De-Broglie concept $\frac{nh}{2 π} = m v r$ ....Bohr's stationary orbit
$∴ \frac{nh}{m v} = 2 π r$
$\Rightarrow nλ = 2 π r .$
Thus in $2 π r$ distance $n$ waves are present.
Hence $n$ waves are present in an orbit.

Q. The number of waves in an orbit are :

n2

n

n−1

n−2

mvh​=λ De-Broglie concept 2πnh​=mvr....Bohr's stationary orbit ∴mvnh​=2πr ⇒nλ=2πr. Thus in 2πr distance n waves are present. Hence n waves are present in an orbit.

$n^{2}$

$n$

$n - 1$

$n - 2$

$\frac{h}{m v} = λ$
De-Broglie concept $\frac{nh}{2 π} = m v r$ ....Bohr's stationary orbit
$∴ \frac{nh}{m v} = 2 π r$
$\Rightarrow nλ = 2 π r .$
Thus in $2 π r$ distance $n$ waves are present.
Hence $n$ waves are present in an orbit.