A) circumference of electron orbit\[(2\pi r)=n\lambda \] (n = an integer)
B) de-Broglie equation:\[\lambda =\frac{n}{mv}\]
C) angular momentum of an electron\[\left( \frac{h}{mv}=\frac{2\pi r}{n}or\,mvr=n\frac{h}{2\pi } \right)\]is an integral multiple of\[\frac{h}{2\pi }\]
D) angular momentum of the electron is not quantized
Correct Answer: D
Solution :
Angular momentum of an electron orienting around the nucleus is,\[mvr=n\frac{h}{2\pi }\] By substituting the values 1, 2, 3 ...... etc for n, we can have respectively the angular momentum\[\frac{1h}{2\pi },\frac{2h}{2\pi },\frac{3h}{2\pi }\]etc. There can be no fractional value of\[\frac{h}{2\pi }\].Thus, the angular momentum is said to be quantized.
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