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Question

If the uncertainty in velocity & position is same, then the uncertainty in momentum will be:


A
hm4π
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B
mh4π
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C
h4πm
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D
1mh4π
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Solution

The correct option is A $$\displaystyle \sqrt{\dfrac{hm}{4\pi }}$$
Expression for Heisenberg's uncertainty principle is written as 
$$ \Delta u.\Delta n = \dfrac {h}{4\pi m}$$
$$\Delta u = \Delta n $$
$$ \Delta u = \sqrt{\dfrac {h}{4\pi m}}$$
Uncertainty in momentum $$\Delta p = m \Delta u = \sqrt{\dfrac {mh}{4\pi }}$$

Chemistry

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