Column-I gives certain physical terms associated with flow of current through a metallic conductor.
Column-II gives some mathematical relations involving electrical quantities.
Match Column-I and Column-II with appropriate relations.
Column-I - Column-II
(A) Drift Velocity - (P) \(\frac{m}{ne^2 \rho}\)
(B) Electrical Resistivity - (Q) nevd
(C) Relaxation Period - (R) \(\frac{eE}{m}τ\)
(D) Current Density - (S) \(\frac{E}{J}\)
(1) (A)-(R), (B)-(S), (C)-(P), (D)-(Q)
(2) (A)-(R), (B)-(S), (C)-(Q), (D)-(P)
(3) (A)-(R), (B)-(P), (C)-(S), (D)-(Q)
(4) (A)-(R), (B)-(Q), (C)-(S), (D)-(P)
Correct answer: (1) (A)-(R), (B)-(S), (C)-(P), (D)-(Q)
Explanation:
(A) Vd = \((\frac{eE}{m})τ\)
(B) J = σE = \(\frac{E}{\rho}\)
⇒ ρ = \(\frac{E}{J}\)
(C) ρ = \(\frac{E}{nev_d}\)
vd = \(\frac{E}{ne \rho}\)
\(\frac{eE}{m}\tau\) = \(\frac{E}{ne \rho}\tau\)
τ = \(\frac{m}{ne^2\rho}\)
(D) i = neAvd
\(\frac{i}{A}\) = nevd
J = nevd