How can you prove that angular momentum is quantized? - Home of Knowledge

How can you prove that angular momentum is quantized?

How can you prove that angular momentum is quantized?

Hint: Let angular momentum (mvr) of 1st orbit is mvr = nh/2π

By putting the values of h and π.

 

Answer:  Angular momentum is quantized means that electrons revolve with an angular momentum in orbits of fixed energy .For electrons of each and every orbit angular momentum is fixed for each and every electron.  Formula for finding the angular momentum is  mvr = nh/2π .

In the formula “n” shows the number of shell in which electrons revolve. For first orbit it is 1, for second orbit it is 2, for third orbit it 3, and so on.

1) For first orbit angular momentum may be given as:

mvr = nh/2π.

mvr = 1× 6.63 ×10 -34 JS/2×3.14

mvr =  3.315 ×10-34 / 3.14

mvr =  1.0 ×10-34 JS (kg.m2.S-1)

2) For second orbit angular momentum may be given as:

mvr = nh/2π.

mvr = 2× 6.63 ×10 -34 JS/2×3.14

mvr = 2.12 ×10 -34 JS

3) For Third orbit angular momentum may be given as:

mvr = nh/2π.

mvr = 3× 6.63 ×10 -34 JS/2×3.14

mvr  = 3.0 × 10 -34 JS.

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