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JEE Main 2025 Apr 4 Shift 2, Physics Q4: Bohr Model of the Hydrogen Atom

JEE Main2025Apr 4, Shift 2Physics
Q.

Given below are two statements :

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. A

    Both Statement I and Statement II are correct

  2. B

    Statement I is incorrect but Statement II is correct

  3. C

    Statement I is correct but Statement II is incorrect

  4. D

    Both Statement I and Statement II are incorrect

Solution

Statement (I). From , . Angular momentum has dimensions . So the two dimensions match — Statement (I) is correct.

Statement (II). Bohr's quantisation condition is , i.e. angular momentum is an integral multiple of (= ), not of itself. So Statement (II) is incorrect.

Statement I correct, Statement II incorrect.

Concept behind this question

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