KVPY SB SX Exam 2011 Question Paper

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Question : 39 of 120

Marks: +1, -0

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

$e^2/h$
$h/e^2$
$h^2/e$
$e/h^2$

Solution:

R=V/i={V×i}/i^2=P/i^2

energy

= hν =h/t

Power

= \energy/t

P=h/t^2

i=e/t

P/i^2=h/e^2

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