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KVPY2011PhysicsUnits and Dimensions

The Quantum Hall Resistance R _ H is a fundamental constant with dimensions of resistance. If h is Planck's constant and e the electron charge, then the dimension of R _ H is the same as -

Options

  1. Ae ² / h
  2. Bh / e ²
  3. Ch ² / e
  4. De / h ²

Correct answer

B. h / e ²

Step-by-step solution

R = V i = V i i ² = P i ² energy = h v = h t Power = energy t P = h t ² i = e t P i ² = h e ²

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