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  • A ball with a mass of 40 g is moving with a speed of 45 m/s. If the uncertainty in its position is <img alt="1.46\times 10^{-33}m" src="https://entrancecorner.oncodecogs.com/gif.latex?1.46%5Ctimes%

A ball with a mass of 40 g is moving with a speed of 45 m/s. If the uncertainty in its position is 1.46\times 10^{-33}m, its speed can be measured within accuracy of \left ( h=6.626 \times10^{-34}Js \right )

Option: 1

0.5 %


Option: 2

1 %


Option: 3

2 %

 


Option: 4

4 %


Answers (1)

best_answer

Heisenberg's uncertainty principle

\Delta x \times \Delta p=\frac{h}{4\pi}

\Delta x \times \Delta \left ( mv \right )=\frac{h}{4\pi}

\Rightarrow \Delta V=\frac{h}{4\pi m \times \Delta x}

\Rightarrow 45 \times y=\frac{6.626 \times10^{-34}}{4 \times 3.14 \times 0.040 \times 1.46 \times10^{-33}}

\Rightarrow y=0.02

Hence, wihin 2% accuracy

Posted by

shivangi.bhatnagar

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