A) \[\Delta x.\Delta P\ge h/(4\pi )\]
B) \[\Delta x.\Delta v\ge h/(4\pi m)\]
C) \[\Delta E.\Delta t\ge h/(4\pi )\]
D) \[\Delta E.\Delta x\ge h/(4\pi )\]
Correct Answer: D
Solution :
From Heisenberg uncertainty principle, \[\Delta x.\,\Delta p\ge \frac{h}{4\pi }\] ?(i) or \[\Delta x.\,m\Delta v\ge \frac{h}{4\pi }\] or \[\Delta x.\,\Delta v\ge \frac{h}{4\pi m}\] ?(ii) This principle is also applicable for pairs like energy-time \[(\Delta E.\Delta t)\] and angular moment-angle \[(\Delta w.\,\Delta \theta )\] along with position-moment \[(\Delta x.\,\Delta p\,).\] Thus, \[\Delta \Epsilon .\,\Delta t\ge \frac{h}{4\pi }\] ?(iii)
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