Question

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

A
hm4π
B
mh4π
C
h4πm
D
1mh4π

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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