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Q.

Column 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 shaded cross-section respectively as shown in figure. Physical quantities in column II are equal to those in coloumn I. Match the expression in Column I with the statements in Column II.

Question Image
COLUMN-ICOLUMN-II
A)iϕP)Conductivity of rod
B)EJQ)Resistance of rod
C)σϕVR)Resistivity of rod
D)VσϕS)Power delivered to rod

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a

A-R, B-P, C-Q,D-S

b

A-P,B-R,C-S,D-Q 

c

A-Q,B-R,C-S,D-Q

d

A-S,B-R,C-Q,D-P 

answer is B.

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Detailed Solution

(A)iϕ=sE=σ

AP

(B)Es=ρBR

(C)σϕV=Vi=P

CS

(D)Vσϕ=Vi=R

D - Q

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