KVPY SX SB Exam 05-Nov-2017 Question Paper

Question : 24 of 120

Marks: +1, -0

Using dimensional analysis the resistivity in terms of fundamental constants h, me, c, e,

ε_0

can be expressed as

Solution:

ρ =E/J

E = [M L T^{–3} I^{–1} ]

J = [I L^{–2} ]

h = M L^2 T^{–1}

m_e = M

c = LT^{–1}

ε_0 = M ^{–1} L^{–3} T^4 I^2

∴

ρ= h^2/{ m_ece^2}

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