Question

The uncertainties in position and the velocity of a particle are ${10}^{10}m$ and $10\times {10}^{-24}se{c}^{-1}$ respectively. The mass of the particle in Kg is:

• A. $h\times 4\times {10}^{33}$
• B. $\frac{h}{4\pi }\times {10}^{-33}$
• C. $\frac{h}{4\pi \times {10}^{-13}}$
• D. $\frac{h\times 4\times {10}^{-33}}{\pi }$

Answer 1

Answer: (C)

$\frac{h}{4\pi \times {10}^{-13}}$

Use,
$m=h/4\pi \Delta x\Delta v$.
Therefore,
$m=h/(4\pi \times {10}^{10}\times {10}^{-23})kg$.