Column - I gives certain physical terms associated with flow of c… - Vidyadip

MCQ

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	$(S)$ $\frac{E}{J}$

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

✓

Answer

Correct option: A.

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

a
$J=\frac{I}{A}=n e v_{d}=\frac{n e^{2} \tau}{m} E=\sigma E=\frac{E}{\rho}$

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

$A \rightarrow R \quad B \rightarrow S \quad D \rightarrow Q$

$\tau=\frac{m}{n e^{2} \rho}$

$C \rightarrow P$

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