If uncertainty in position and momentum are equal, then uncertainty in velocity

⇦

⇨

If uncertainty in position and momentum are equal, then uncertainty in velocity is :

Options

(a) 1/2m x √(h/π)
(b) √(h/2π)
(c) 1/m x √(h/π)
(d) √(h/π)

Correct Answer:

1/2m x √(h/π)

Explanation:

We known Δp.Δx ≥ h / 4π
or m.Δv.Δx = h / 4π [ .·. Δp = mΔV]
since Δp = Δx (given)
.·. Δp.Δp = h / 4π or mΔv = h / 4π
or (Δv)² = h / 4πm²
or Δv = √ h / 4πm² = 1 / 2 m √ h / π..

Related Questions:

1. HgI₂ reacts KI in aqueous solution to form K₂HgI₄.If small amount of HgI₂
2. How many coulombs are required for the oxidation of 1 mole H₂O to O₂
3. Azeotropic mixture of HCl and H₂O has
4. The oxidation state of nitrogen is highest in
5. Starting with three different amino acid molecules,how many different tripeptide

Question Type: Memory (964)
Difficulty Level: Easy (1008)
Topics: Structure of Atom (90)
Subject: Chemistry (2512)

---

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

---

Share this page with your friends