Match List-I with List-II
| List-I | List-II |
| Physical Quantity | SI Unit |
| (A) Mobility of a charge carrier | (I) \( \Omega^{-1}\,\mathrm{m^{-1}} \) |
| (B) Resistivity | (II) \( \mathrm{A\,m^{-2}} \) |
| (C) Current density | (III) \( \mathrm{m^{2}\,V^{-1}\,s^{-1}} \) |
| (D) Conductivity | (IV) \( \Omega\,\mathrm{m} \) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A) - (III), (B) - (IV), (C) - (II), (D) - (I)
Each unit follows from the defining relation of the quantity.
(A) Mobility of a charge carrier — this matches (III) \( \mathrm{m^{2}\,V^{-1}\,s^{-1}} \). Mobility is the drift speed per unit electric field, \( \mu = v_d/E \), with unit \( (\mathrm{m\,s^{-1}})/(\mathrm{V\,m^{-1}}) \).
(B) Resistivity — this matches (IV) \( \Omega\,\mathrm{m} \). From \( R = \rho l/A \), \( \rho = RA/l \), with unit \( \Omega\,\mathrm{m^{2}}/\mathrm{m} \).
(C) Current density — this matches (II) \( \mathrm{A\,m^{-2}} \). Current density is current per unit area, \( j = I/A \).
(D) Conductivity — this matches (I) \( \Omega^{-1}\,\mathrm{m^{-1}} \). Conductivity is the reciprocal of resistivity, \( \sigma = 1/\rho \).
Note: A similar question was also asked in CUET (UG) 2023 on 26-05-2023 (Slot 1).