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Concepts Of Physics MCQ Edition [Volume 1]PhysicsIntroduction to Physics

Determine the dimensions of Planck's constant h using the equation E = h , where E represents the energy and represents the frequency.

Options

  1. A[ML^2 T⁻¹]
  2. B[ML^2 T⁻³]
  3. C[ML T⁻¹]
  4. D[ML^2 T⁻²]

Correct answer

A. [ML^2 T⁻¹]

Step-by-step solution

Given equation is E = h . The dimensional formula for energy E is [ML^2 T⁻²] . The dimensional formula for frequency is [T⁻¹] . Rearranging the equation for Planck's constant h , we get h = E . Substituting the dimensions, we get [h] = [ML^2 T⁻²] [T⁻¹] = [ML^2 T⁻¹] .

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