JEE Main · 2025 · 04 Apr 2025 · Shift 2 · Modern Physics

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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✓ Correct
  4. (D)Both Statement I and Statement II are incorrect

Answer: (C)

Solution

From , Planck's constant has dimensions , which are exactly the dimensions of angular momentum , so the first statement is correct. In Bohr's model the allowed orbits are those for which the angular momentum is an integral multiple of , not of itself, so the second statement is wrong. Hence the first statement is correct while the second is incorrect.

JEE Main · 2025 · 04 Apr 2025 · Shift 2 · Single correct option

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