- Uncertainty in position of a minute particle of mass 25 g in space is 10-5 m. The uncertainty in its velocity (in ms -1 ) is:

Question

- Uncertainty in position of a minute particle of mass 25 g in space is 10-5 m. The uncertainty in its velocity (in ms -1 ) is: (A) 2.1 × 10-34 (B) 0.5 × 10-34 (C) 2.1 × 10-28 (D) 0.5 × 10-23

Tardigrade Admin · Accepted Answer

Δ u =(h/4 π m . Δ x)=(6.626 × 10-34/4 × 3.14 × 25 × 10-3 × 10-5) =2.1 × 10-28 m sec -1

Q. - Uncertainty in position of a minute particle of mass $25 g$ in space is $1 0^{- 5} m$ . The uncertainty in its velocity (in $m s^{- 1}$ ) is:

$2.1 \times 1 0^{- 34}$

$0.5 \times 1 0^{- 34}$

$2.1 \times 1 0^{- 28}$

$0.5 \times 1 0^{- 23}$

$Δ u = \frac{h}{4 πm .Δ x} = \frac{6.626 \times 1 0 ^{- 34}}{4 \times 3.14 \times 25 \times 1 0 ^{- 3} \times 1 0 ^{- 5}}$
$= 2.1 \times 1 0^{- 28} m sec^{- 1}$

Q. - Uncertainty in position of a minute particle of mass 25g in space is 10−5m. The uncertainty in its velocity (in ms−1 ) is:

2.1×10−34

0.5×10−34

2.1×10−28

0.5×10−23