MCQ
What will be the mass of a particle if uncertainty in its position is $10^{-8}\, m$ and uncertainty in velocity is $5.26 \times 10^{-25}\, m\, s^{-1}$ ? ............... $\mathrm{kg}$
  • $0.01$
  • B
    $100$
  • C
    $1$
  • D
    $10$

Answer

Correct option: A.
$0.01$
a
$\Delta \mathrm{x} . \mathrm{m} \Delta \mathrm{v}=\frac{\mathrm{h}}{4 \pi}$

$\mathrm{m}=\frac{\mathrm{h}}{4 \pi \Delta \mathrm{x} \Delta \mathrm{v}}$

$=\frac{6.62 \times 10^{-34}}{4 \times 3.14 \times 10^{-8} \times 5.28 \times 10^{-25}}$

$=0.099 \times 10^{-1}$

$=0.01\, \mathrm{kg}$

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