In Sommerfeld's atomic model, corres ponding to principal quantum number n = 3, there will be

Question

In Sommerfeld's atomic model, corres ponding to principal quantum number n = 3, there will be (A) 3 elliptical orbits (B) 3 circular or-bits (C) 1 circular and 2 elliptical orbits (D) 1 elliptical and 2 circular orbits

Tardigrade Admin · Accepted Answer

According to Sommerfeld model, quantum condition for the elliptical orbits

\frac{b}{a} = \frac{K}{n}

Here,

n = 3

, so for

n = 3

, possible value of

K = 1, 2, 3

So,

\frac{b}{a} = \frac{3}{1}

or

\frac{3}{2}

or

\frac{3}{3}

Hence, for

n = 3

there are 1 circular and 2 elliptical orbits.

Q. In Sommerfeld's atomic model, corres ponding to principal quantum number n=3, there will be

3 elliptical orbits

3 circular or-bits

1 circular and 2 elliptical orbits

1 elliptical and 2 circular orbits

According to Sommerfeld model, quantum condition for the elliptical orbits ab​=nK​ Here, n=3, so for n=3, possible value of K=1,2,3 So, ab​=13​ or 23​ or 33​ Hence, for n=3 there are 1 circular and 2 elliptical orbits.

Q. In Sommerfeld's atomic model, corres ponding to principal quantum number $n = 3$ , there will be

According to Sommerfeld model, quantum condition for the elliptical orbits
$\frac{b}{a} = \frac{K}{n}$
Here, $n = 3$ , so for $n = 3$ , possible value of $K = 1, 2, 3$
So, $\frac{b}{a} = \frac{3}{1}$ or $\frac{3}{2}$ or $\frac{3}{3}$
Hence, for $n = 3$ there are 1 circular and 2 elliptical orbits.