CBSE Class 11-science Answered
Prove that if uncertainty in position of a moving electron is equal to its de-Broglie wavelength than its velocity is completely uncertain?
Asked by fizajain21 | 18 Dec, 2020, 12:46: PM
According to heisenberg's uncertanity-
![increment x equals lambda equals fraction numerator h over denominator m V end fraction
increment x cross times increment P greater-than or slanted equal to fraction numerator h over denominator 4 pi end fraction
increment P equals m increment V
fraction numerator h over denominator m V end fraction cross times m increment V greater-than or slanted equal to fraction numerator h over denominator 4 pi end fraction
fraction numerator increment V over denominator V end fraction greater-than or slanted equal to fraction numerator h over denominator 4 pi end fraction
V less or equal than 4 pi increment V](https://images.topperlearning.com/topper/tinymce/cache/a3b974167de35c02de01855d3e766c15.png)
You can see Velcoity is uncertain.
Answered by Ravi | 22 Dec, 2020, 19:27: PM
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