Physics · Units, Dimensions & Error Analysis

JEE Main 2025 — 4 April, Evening Shift — Question 55

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

Statement (I): The dimensions of Planck's constant and angular momentum are same.

Statement (II) : In Bohr's model electron revolve around the nucleus only in those orbits for which angular momentum is integral multiple of Planck's constant.

In the light of the above statements, choose the most appropriate answer from the options given below.

  1. Option A:

    Both Statement I and Statement II are incorrect

  2. Option B:

    Both Statement I and Statement II are correct

    Correct
  3. Option C:

    Statement I is incorrect but Statement II is correct

  4. Option D:

    Statement I is correct but Statement II is incorrect

Answer: B

Step-by-step solution

Statement I: True, since Planck’s constant and angular momentum both have dimensions [ML2T−1][ML^{2}T^{-1}].

Statement II: True, because in Bohr’s model the electron’s angular momentum is quantized as

L=nh2π.L = n\frac{h}{2\pi}.

Both Statement I and Statement II are correct.

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Units, Dimensions & Error Analysis
Topic
Units and Dimensions Analysis
Given below are two statements : one is labelled as Statement I and… | JEE Main 2025 PYQ with Solution · DhiX AI