L is angular momentum of an electron which is revolving around the nucleus of H-atom in first orbit of radius r. The angular momentum of same electron when it is revolving in bigger, orbit of radius 9 r is

Question

L is angular momentum of an electron which is revolving around the nucleus of H-atom in first orbit of radius r. The angular momentum of same electron when it is revolving in bigger, orbit of radius 9 r is (A) 3L (B) (9L/2) (C) (9L/4) (D) 9L

Tardigrade Admin · Accepted Answer

L = (nh/2 π) propto n ; but r propto n2 ∴ L propto √r

Q. L is angular momentum of an electron which is revolving around the nucleus of H-atom in first orbit of radius r. The angular momentum of same electron when it is revolving in bigger, orbit of radius 9 r is

3L

$\frac{9 L}{2}$

$\frac{9 L}{4}$

9L

$L = \frac{nh}{2 π} \propto n;$ but $r \propto n^{2}$
$∴$ $L \propto r$

Q. L is angular momentum of an electron which is revolving around the nucleus of H-atom in first orbit of radius r. The angular momentum of same electron when it is revolving in bigger, orbit of radius 9 r is

3L

29L​

49L​

9L

L=2πnh​∝n; but r∝n2 ∴ L∝r​

$\frac{9 L}{2}$

$\frac{9 L}{4}$

$L = \frac{nh}{2 π} \propto n;$ but $r \propto n^{2}$
$∴$ $L \propto r$