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Nonamiya [84]
4 years ago
13

A playroom is 12 m2. The length of the room is 3 m. What is the width?

Physics
1 answer:
Debora [2.8K]4 years ago
5 0
The width of the playroom is 4 m
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Answer:

Minimum uncertainty in position is \Delta x= 1157808.48\ m

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It is given that,

Uncertainty in the position of an electron, \Delta x=0.1\ nm=0.1\times 10^{-9}\ m

According to uncertainty principle,

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\Delta v\geq \dfrac{h}{4\pi \times \Delta x\times m}

\Delta v\geq \dfrac{6.62\times 10^{-34}\ J-s}{4\pi \times 0.1\times 10^{-9}\ m\times 9.1\times 10^{-31}\ kg}

\Delta v\geq 578904.24\ m/s

Let \Delta x is the uncertainty in position after 2 seconds such that,

\Delta x=\Delta v\times t

\Delta x=578904.24\ m/s\times 2\ s

\Delta x= 1157808.48\ m

or

\Delta x= 1.15\times 10^6\ m

Hence, this is the required solution.

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