For an electron whose x-positional uncertainity is 1 × 10⁻¹⁰ m, the uncertainity in x-component of the… · ABC26PH0631
Subject: Physical Chemistry · Chapter: Atomic Structure · Topic: Atomic Structure – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Hard
For an electron whose x-positional uncertainity is $1 \times 10^{-10} \mathrm{m}$, the uncertainity in x-component of the velocity in $\mathrm{ms}^{-1}$ will be of the order of (Data: $\mathrm{m}_{\mathrm{e}}=9 \times 10^{-31} \mathrm{kg}, \mathrm{h}=6.6 \times 10^{-34} \mathrm{Js}$ )
(a)$10^{6}$
(b)$10^{9}$
(c)$10^{12}$
(d)$10^{15}$
Answer
Answer: A ✓ checked by 4AB · confidence high
Explanation
Δv ≥ h/(4πmΔx) = 6.6×10⁻³⁴/(4π × 9×10⁻³¹ × 10⁻¹⁰) ≈ 6×10⁵ m s⁻¹ — of order 10⁶ (a).