List-I gives physical quantities based on a situation in which an ideal cell of emf V is connected across a cylindrical rod of uniform cross-section area and conductivity σ as shown in figure. E , J ,

Question

List-I gives physical quantities based on a situation in which an ideal cell of emf V is connected across a cylindrical rod of uniform cross-section area and conductivity $σ$ as shown in figure. $E, J, ϕ$ and $i$ are electric field at, current density through, electric flux through and current through the shaded cross-section respectively. Match the expressions in List-I with the statements in List-II.

diagram

List - I	List - II
(P) $\frac{ϕ}{i}$	(1) Conductivity of rod
(Q) $\frac{E}{J}$	(2) Resistance of rod
(R) $σ ϕ V$	(3) Resistivity of rod
(S) $\frac{V}{σ ϕ}$	(4) Power delivered to rod
	(5) None of these

TestHub · Accepted Answer

i ϕ ​ = σ E A E A ​ = σ 1 ​ = resistivity, so P → 3 ; J E ​ = σ E E ​ = σ 1 ​ = resistivity, so Q → 3 . σ ϕ V = σ E A V = iV = power delivered, so R → 4 . σ ϕ V ​ = σ E A V ​ = i V ​ = resistance, so S → 2 . Option (A).

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