Match the LIST-I with LIST-II
| LIST-I (Physical Quantity) | LIST-II (Dimensions) |
| A. Electric flux | I. [LTA] |
| B. Dipole moment | II. [MLT−3A−1] |
| C. Electric field | III. [L2] |
| D. Vector area element | IV. [ML3T−3A−1] |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A-IV, B-I, C-II, D-III
Build each dimension from its defining relation, using charge = current × time, [q] = [AT], and force [MLT−2].
(A) Electric flux — this matches (IV) [ML3T−3A−1]. Flux is field × area.
\( \displaystyle [\phi] = [E][A] = [\mathrm{MLT^{-3}A^{-1}}][\mathrm{L^{2}}] = [\mathrm{ML^{3}T^{-3}A^{-1}}] \)
(B) Dipole moment — this matches (I) [LTA]. Dipole moment is charge × separation.
\( \displaystyle [p] = [q][2a] = [\mathrm{AT}][\mathrm{L}] = [\mathrm{LTA}] \)
(C) Electric field — this matches (II) [MLT−3A−1]. Electric field is force per unit charge.
\( \displaystyle [E] = \frac{[F]}{[q]} = \frac{[\mathrm{MLT^{-2}}]}{[\mathrm{AT}]} = [\mathrm{MLT^{-3}A^{-1}}] \)
(D) Vector area element — this matches (III) [L2]. An area element has only the dimension of area; its direction does not change the dimension.
Note: A similar question was also asked in CUET (UG) 2023 on 30-05-2023 (Slot 1).