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NEET · Physics · STD 12 - 3. current electricity

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 \((P)\) \(\frac{m}{n e^{2} \rho}\)
\((B)\) Electrical Resistivity \((Q)\) \(\mathrm{ne} v_{\mathrm{d}}\)
\((C)\) Relaxation Period \((R)\) \(\frac{\mathrm{eE}}{\mathrm{m}} \tau\)
\((D)\) Current Density \((S)\) \(\frac{E}{J}\)

  1. A \((A)- (\mathrm{R}),(\mathrm{B})-(\mathrm{S}),(\mathrm{C})-(\mathrm{P}),(\mathrm{D})-(\mathrm{Q})\)
  2. B \((A)-(R), (B)-(S), (C)-(Q), (D)-(P)\)
  3. C \((A)-(R), (B)-(P), (C)-(S), (D)-(Q)\)
  4. D \((A)-(R), (B)-(Q), (C)-(S), (D)-(P)\)
Verified Solution

Answer & Solution

Correct Answer

(A) \((A)- (\mathrm{R}),(\mathrm{B})-(\mathrm{S}),(\mathrm{C})-(\mathrm{P}),(\mathrm{D})-(\mathrm{Q})\)

Step-by-step Solution

Detailed explanation

\(J=\frac{I}{A}=n e v_{d}=\frac{n e^{2} \tau}{m} E=\sigma E=\frac{E}{\rho}\) \(V_{d}=\frac{e E}{m} I ; \rho=\frac{m}{n e^{2} \tau}\) or \(\rho=\frac{E}{J}, J=n e v_{d}\)