Q45. Match List - I with List - II.
List - I
A. [Image of electric dipole moment p parallel to electric field E]
B. [Image of electric dipole moment p anti-parallel to electric field E]
C. [Image of e

Question

Q45. Match List - I with List - II.
List - I
A. [Image of electric dipole moment p parallel to electric field E]
B. [Image of electric dipole moment p anti-parallel to electric field E]
C. [Image of electric dipole moment p perpendicular to electric field E]
D. [Image of electric dipole moment p at an angle to electric field E]
List - II
(I) U = pE
(II) U = -pE
(III) U = -pE
(IV) U = 0
Choose the correct answer from the options given below:
(a) (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
(b) (A)-(III), (B)-(II), (C)-(IV), (D)-(1)
(c) (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
(d) (A)-(II), (B)-(III), (C)-(I), (D)-(IV)

FirstInTest · Accepted Answer

Correct answer: b. The potential energy (U) of an electric dipole moment (**p**) in a uniform electric field (**E**) is given by U = -**p** ⋅ **E** = -pE cosθ, where θ is the angle between the dipole moment vector and the electric field vector.Let's match each configuration:(A) Image shows **p** parallel to **E** (θ = 0°):   U = -pE cos(0°) = -pE. The provided options for List-II contain (II) U = -pE and (III) U = -pE. If we pick (III), then (A) matches (III).(B) Image shows **p** anti-parallel to **E** (θ = 180°):   U = -pE cos(180°) = -pE(-1) = +pE. The provided options for List-II contain (I) U = pE. The solution, however, maps (B) to (II) U = -pE, which is physically incorrect for an anti-parallel alignment.(C) Image shows **p** perpendicular to **E** (θ = 90°):   U = -pE cos(90°) = 0. The provided options for List-II contain (IV) U = 0. So, (C) matches (IV).(D) Image shows **p** at a general angle to **E**:   U = -pE cosθ (where θ is some arbitrary angle between 0 and 180). The solution maps (D) to (I) U = pE. This implies that for configuration D, the dipole moment is anti-parallel to the electric field (θ = 180°). However, the image for D clearly shows a general angle, not specifically 180°. If the solution implies that (D) represents the maximum potential energy state (+pE), it corresponds to θ=180°.Based on standard physics, a consistent mapping would be: (A) -> (II) or (III), (B) -> (I), (C) -> (IV). Given the options and the designated answer (b) (A)-(III), (B)-(II), (C)-(IV), (D)-(1), there are inconsistencies, particularly for option (B) and (D) according to standard physics. However, adhering to the provided answer key, the mapping is as given in option (b).

Related Questionsin Physics

Practice More CUET UG Questions