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Most Important Selected Qs for JEE AdvancedPhysicsUnits and Dimensions

The ratio of the dimensions of Planck constant and that of moment of inertia has the dimensions of

Options

  1. Atime
  2. Bfrequency
  3. Cangular momentum
  4. Dvelocity

Correct answer

B. frequency

Step-by-step solution

Dimensions of Planck's constant =M L² T⁻¹ Dimensions of moment of inertia =M L² Ratio of dimensions of Planck's constant and moment of inertia is [h] [I] = M L² T⁻¹ M L² =T⁻¹ Dimension of frequency =T⁻¹ Dimension of velocity =L T⁻¹ Dimension of angular momentum =M L² T⁻¹ Dimension of time =T Thus, ratio of dimensions of Planck's constant and that of moment of inertia has the dimensions of frequency

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