Uncertainty in the position of an electron (mass = 9.1 × 10-31 kg) moving with a velocity 300 ms-1, accurate up to 0.001 % will be: (h = 6.63 × 10-34 Js)

Question

Uncertainty in the position of an electron (mass = 9.1 × 10-31 kg) moving with a velocity 300 ms-1, accurate up to 0.001 % will be: (h = 6.63 × 10-34 Js) (A) 19.2 × 10-2 m (B) 5.76 × 10-2 m (C) 1.93 × 10-2 m (D) 3.84 × 10-2 m

Tardigrade Admin · Accepted Answer

Δ x=(h/4π mΔ u) ==(6.626 ×10-34×100/4×3.14× 9.1× 1.0-31× 0.001× 300) =1.93 × 10-2 m

Q. Uncertainty in the position of an electron (mass $= 9.1 \times 1 0^{- 31} k g)$ moving with a velocity $300 m s^{- 1}$ , accurate up to $0.001%$ will be: $(h = 6.63 \times 1 0^{- 34} J s$ )

$19.2 \times 1 0^{- 2} m$

$5.76 \times 1 0^{- 2} m$

$1.93 \times 1 0^{- 2} m$

$3.84 \times 1 0^{- 2} m$

$Δ x = \frac{h}{4 πm Δ u}$
$== \frac{6.626 \times 1 0 ^{- 34} \times 100}{4 \times 3.14 \times 9.1 \times 1. 0 ^{- 31} \times 0.001 \times 300}$
$= 1.93 \times 1 0^{- 2} m$

Q. Uncertainty in the position of an electron (mass =9.1×10−31kg) moving with a velocity 300ms−1, accurate up to 0.001% will be: (h=6.63×10−34Js)

19.2×10−2m

5.76×10−2m

1.93×10−2m

3.84×10−2m