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JEE Main 2024 (27 Jan, Shift 1) · Units & Dimensions

Units & Dimensions question from JEE Main 2024 (27 Jan, Shift 1)

Q33JEE Main 2024 · 27 JAN · SHIFT 1Medium

Units & Dimensions

Given below are two statements:

Statement (I): Planck's constant and angular momentum have same dimensions. Statement (II): Linear momentum and moment of force have same dimensions. In the light of the above statements, choose the correct answer from the options given below:

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Answer: (a)

  1. h=E/ν=[ML2T−1]h = E/\nu = [\mathrm{ML^2T^{-1}}] and angular momentum mvr=[ML2T−1]mvr = [\mathrm{ML^2T^{-1}}]: Statement I is true.
  2. Linear momentum =[MLT−1]= [\mathrm{MLT^{-1}}], moment of force =[ML2T−2]= [\mathrm{ML^2T^{-2}}]: Statement II is false.
  3. So the answer is (a).
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