Atomic StructureHard

Question

Uncertainty in the position of an electron (mass = 9.1 × 10−31 kg) moving with a velocity 300 m/s accurate up to 0.001% will be

Options

A.5.76 × 10−3 m
B.1.92 × 10−2 m
C.3.84 × 10−3 m
D.19.2 × 10−4 m

Solution

$\Delta{x\frac{h}{4\pi m.\Delta v}\frac{6.626 \times 10^{- 34}}{4\pi \times \left( 9.1 \times 10^{- 31} \right) \times \left( 300 \times \frac{0.0001}{100} \right)}^{- 2}\text{ m}}_{\min}$

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