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Question

If uncertainty in the position of an electron is zero, the uncertainty in its momentum would be:


A
zero
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B
<h/44
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C
>h/4π
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D
infinite 
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Solution

The correct option is D $$infinite$$ 
According to Heisenberg's Uncertainty Principle, it is impossible to measure position $$x$$ and momentum $$p$$ simultaneously.
Use $$\Delta x \Delta p \geqslant h/4\pi $$
as $$\Delta x \rightarrow 0, \Delta p \rightarrow \infty $$
Here, neither uncertainty can be zero and if the position is zero the uncertainty in momentum becomes infinite.
So, option D is correct.

Chemistry

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