A) \[\frac{hm}{4\pi \Delta v}\]
B) \[\frac{4\pi }{hm\Delta v}\]
C) \[\frac{h}{4\pi m\Delta v}\]
D) \[\frac{h\pi m}{h\Delta v}\]
Correct Answer: C
Solution :
According to Heisenbergs uncertainty principle \[\Delta x\,\,\Delta p\ge \frac{h}{4\pi }\] But \[\Delta p\] (momentum) \[=m\Delta v\] Or \[\Delta x\,\,m\,\,\Delta v\ge \frac{h}{4\pi }\] \[\Delta x=\frac{h}{4\pi \,m\,\Delta \,v}\]You need to login to perform this action.
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