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NEET UG CHEMISTRY MCQ: STRUCTURE OF ATOM

1 Easy

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Application +4 | -1

The uncertainty in the velocity of a particle of mass

6.626\,\,x\,\,{10^{^{ - 28}}}Kg\,\,is\,\,1\,\,x\,\,{10^{^{ - 6}}}

m/s. What is the uncertainty in its position ( in nm )

View answer and explanation

Correct option: D

1/4\pi

Option D (

1/4\pi

) is correct because Heisenberg's uncertainty principle states that

\Delta x \Delta p \geq \frac{h}{{4\pi}}

, where

\Delta p = m \Delta v

. Solving for

\Delta x

gives

\Delta x = \frac{h}{{4\pi m \Delta v}} = \frac{{6.626 \times 10^{-34}}}{{4\pi \times 6.626 \times 10^{-28} \times 1 \times 10^{-6}}} = \frac{1}{{4\pi}} \times 10^{-9} m = \frac{1}{{4\pi}} nm

.

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