Question

What will be the uncertainty in velocity of a bullet with a mass of $10g$ whose position is known with $\pm 0.01$ mm?

Answer 1

Heisenberg uncertainity principle

$△p.△x\ge \frac{h}{4x}$

$m△v.△x\ge \frac{h}{4x}$

$m\ge \frac{h}{4z△v△x}$

$△v\ge \frac{h}{4zm△x}$

$\frac{6.628\times {10}^{-34}}{4\times 3.14\times 10\times {10}^{-3}\times 0.01\times {10}^{-3}}$

$=5.27\times {10}^{-28}m/s$