Uncertainty in the position of an electron (mass = 9.1x10-31, kg) moving with a velocity 300 ms-1, accurate upon 0.001% will be: (h=6.63×10-34 JS)

Question

Uncertainty in the position of an electron (mass = 9.1x10-31, kg) moving with a velocity 300 ms-1, accurate upon 0.001% will be: (h=6.63×10-34 JS) (A) 19.2 ×10-2 m (B) 5.76×10-2 m (C) 1.92×10-2 m (D) 3.84×10-2 m

Tardigrade Admin · Accepted Answer

Δ x ⋅Δ v ge (h/4π m) Δ x =(6.63×10-34/4×3.14×9.1×10 -31×300×0.001×10-2) 0.01933 =1.93×10-2

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

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

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

$1.92 \times 1 0^{- 2} m$

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

$Δ x \cdot Δ v \geq \frac{h}{4 πm}$
$Δ x = \frac{6.63 \times 1 0 ^{- 34}}{4 \times 3.14 \times 9.1 \times 1 0 ^{- 31} \times 300 \times 0.001 \times 1 0 ^{- 2}}$
$0.01933$
$= 1.93 \times 1 0^{- 2}$

Q. Uncertainty in the position of an electron (mass = 9.1x10−31, kg) moving with a velocity 300 ms−1, accurate upon 0.001% will be : (h=6.63×10−34JS)

19.2×10−2m

5.76×10−2m

1.92×10−2m

3.84×10−2m