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 | \((S)\) \(\frac{E}{J}\) |
- A \((A)- (\mathrm{R}),(\mathrm{B})-(\mathrm{S}),(\mathrm{C})-(\mathrm{P}),(\mathrm{D})-(\mathrm{Q})\)
- 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 & 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 \(\rho=\frac{E}{J}, J=n e v_{d}\)
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