Matching of Electrical Quantities – Rankers Physics
Topic: Current Electricity
Subtopic: Basics of Current

Matching of Electrical Quantities

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 (A) Drift Velocity (B) Electrical Resistivity (C) Relaxation Period (D) Current Density
Column-II (P) \(\frac{m}{n e^2 rho}\) (Q) \(n e v_d\) (R) \(\frac{e E}{m} \tau\) (S) \(\frac{E}{J}\)
Choose the correct match from the given options:
(A) - (R), (B) - (Q), (C) - (S), (D) - (P)
(A) - (R), (B) - (S), (C) - (P), (D) - (Q)
(A) - (R), (B) - (S), (C) - (Q), (D) - (P)
(A) - (R), (B) - (P), (C) - (S), (D) - (Q)

Solution:

Using standard formulas of current electricity: drift velocity \(v_d = \frac{eE}{m}\tau\) gives (A)-(R); resistivity \(\rho = \frac{E}{J}\) gives (B)-(S); relaxation time \(\tau = \frac{m}{ne^2\rho}\) gives (C)-(P); current density \(J = ne v_d\) gives (D)-(Q).

Leave a Reply

Your email address will not be published. Required fields are marked *