Question

The uncertainty in the position of an electron moving with a velocity of 1.0 × 10⁴ cm s^–1 (accurate up to 0.011%) will be –

• A. 1.92 cm
• B. 7.68 cm
• C. 0.528 cm
• D. 3.8 cm

Answer 1

Answer: (C)

0.528 cm

Answer 2

from Dx. Dv = $\frac{h}{4\pi m}$ Dx =

$\frac{6.6 \times 10^{- 27}}{4 \times (3.14) \times (9.1 \times 10^{- 28}) \times \left( 1.0 \times 10^{4} \times \frac{0.011}{100} \right)}$

= 0.528 cm