Uncertainity in position of a hypothetical subatomic particle is 1 Å and uncertainty in velocity is 3.3 4 π × 10 5 m / s then the mass of the particle is approximately [ h = 6.6 × 10 − 34 J s ] Options: A . &nbsp 2 × 10 − 28 k g B . &nbsp 2 × 10 − 27 k g C . &nbsp 2 × 10 − 29 k g D . &nbsp 2 × 10 − 26 k g

Answer: Option C : C Δ x × m × Δ v ≥ h 4 π 1 × 10 − 10 × m × 3.3 4 π × 10 5 ≥ 6.6 × 10 − 34 4 × π M = 2 × 10 − 29 k g

Uncertainity in position of a hypothetical subatomic particle is 1Å

Discussion Forum : Atomic Structure

Question -

Uncertainity in position of a hypothetical subatomic particle is $1 Å$ and uncertainty in velocity is $\frac{3.3}{4 π} \times 10^{5} m / s$ then the mass of the particle is approximately $[h = 6.6 \times 10^{- 34} J s]$

Options:

A .

2 \times 10^{- 28} k g

B .

2 \times 10^{- 27} k g

C .

2 \times 10^{- 29} k g

D .

2 \times 10^{- 26} k g

Answer: Option C
:
C

$Δ x \times m \times Δ v \geq \frac{h}{4 π}$

$1 \times 10^{- 10} \times m \times \frac{3.3}{4 π} \times 10^{5} \geq \frac{6.6 \times 10^{- 34}}{4 \times π}$

$M = 2 \times 10^{- 29} k g$

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