Start free

Chemistry · Structure of Atom

JEE Main 2025 — 29 January, Evening Shift — Question 8

Given below are two statements, one is labelled as Statement I and the other is labelled as Statement II.

Statement I: It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle.

Statement II: If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron, then Δv≥hπ×12m\Delta v \ge \sqrt{\frac{h}{\pi}} \times \frac{1}{2m}.

In the light of the above statements, choose the correct answer from the options given below :

  1. Option A:

    Statement I is true but Statement II is false.

  2. Option B:

    Both Statement I and Statement II are true.

    Correct
  3. Option C:

    Statement I is false but Statement II is true.

  4. Option D:

    Both Statement I and Statement II are false.

Answer: B

Step-by-step solution

Heisenberg uncertainty principle, ΔxΔp≥h4π\Delta x \Delta p \ge \frac{h}{4\pi}

Given: Δx=Δp\Delta x = \Delta p

(Δx)2≥h4π(\Delta x)^2 \ge \frac{h}{4\pi} Δx≥h4π\Delta x \ge \sqrt{\frac{h}{4\pi}}

Since, we have

Δp=mΔv\Delta p = m \Delta v mΔv≥h4πm\Delta v \ge \sqrt{\frac{h}{4\pi}} \sqrt{\frac{h}{\pi}} \times \frac{1}{2m}$$ Thus, both Statement I and Statement II are true.

Answer key and solution verified before publishing.

Practise Structure of Atom

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Solve a similar one free
Exam
JEE Main 2025
Paper
29 January, Evening Shift
Subject
Chemistry
Chapter
Structure of Atom
Topic
Wave-Particle Duality of Matter - de Broglie, Heisenberg

More Structure of Atom questions from this paper

Given below are two statements, one is labelled as Statement I and… | JEE Main 2025 PYQ with Solution · DhiX AI