Q45. Match List - I with List - II.
List - I
A. [Diagram of electric dipole in uniform E field, with

Q: What is the correct answer for CUET UG Physics Q45?

The correct answer is b. The potential energy (U) of an electric dipole with dipole moment **p** in a uniform electric field **E** is given by U = -**p** ⋅ **E** = -pE cosθ, where θ is the angle between **p** and **E**. Let's analyze the standard physics and then match with the given solution's choice: * If **p** is aligned with **E** (θ=0°): U = -pE cos(0°) = -pE (minimum energy, stable equilibrium). * If **p** is an

Q: Q45. Match List - I with List - II. List - I A. [Diagram of electric dipole in uniform E field, with dipole moment P aligned with E] B. [Diagram of electric dipole in uniform E field, with dipole…

The correct answer is b. The potential energy (U) of an electric dipole with dipole moment **p** in a uniform electric field **E** is given by U = -**p** ⋅ **E** = -pE cosθ, where θ is the angle between **p** and **E**. Let's analyze the standard physics and then match with the given solution's choice: * If **p** is aligned with **E** (θ=0°): U = -pE cos(0°) = -pE (minimum energy, stable equilibrium). * If **p** is an

Q: What are the options for this CUET UG Physics question?

A. (A)-(I), (B)-(II), (C)-(III), (D)-(IV) · B. (A)-(III), (B)-(II), (C)-(IV), (D)-(I) · C. (A)-(III), (B)-(IV), (C)-(I), (D)-(II) · D. (A)-(II), (B)-(III), (C)-(I), (D)-(IV)

Question

Q45. Match List - I with List - II.
List - I
A. [Diagram of electric dipole in uniform E field, with dipole moment P aligned with E]
B. [Diagram of electric dipole in uniform E field, with dipole moment P anti-aligned with E]
C. [Diagram of electric dipole in uniform E field, with dipole moment P perpendicular to E]
D. [Diagram of electric dipole in uniform E field, with dipole moment P making angle with 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)-(I)
(c) (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
(d) (A)-(II), (B)-(III), (C)-(I), (D)-(IV)

FirstInTest · Accepted Answer

The potential energy (U) of an electric dipole with dipole moment **p** in a uniform electric field **E** is given by U = -**p** ⋅ **E** = -pE cosθ, where θ is the angle between **p** and **E**. Let's analyze the standard physics and then match with the given solution's choice:
*   If **p** is aligned with **E** (θ=0°): U = -pE cos(0°) = -pE (minimum energy, stable equilibrium).
*   If **p** is anti-aligned with **E** (θ=180°): U = -pE cos(180°) = +pE (maximum energy, unstable equilibrium).
*   If **p** is perpendicular to **E** (θ=90°): U = -pE cos(90°) = 0.
*   For a general angle θ: U = -pE cosθ.

The provided List-II options are: (I) U=pE, (II) U=-pE, (III) U=-pE, (IV) U=0. (Note: There is an apparent typo with two options listed as -pE).
Now, let's examine the mapping given in the correct answer (b): (A)-(III), (B)-(II), (C)-(IV), (D)-(I):
*   (A) Dipole moment P aligned with E (θ=0°). Physics: U = -pE. Solution matches to (III) U = -pE. This match is **physically correct**.
*   (B) Dipole moment P anti-aligned with E (θ=180°). Physics: U = +pE. Solution matches to (II) U = -pE. This match is **physically incorrect**; it should be +pE.
*   (C) Dipole moment P perpendicular to E (θ=90°). Physics: U = 0. Solution matches to (IV) U = 0. This match is **physically correct**.
*   (D) Dipole moment P making an angle with E (general θ). Physics: U = -pE cosθ. Solution matches to (I) U = pE. This match is **physically incorrect**; this is the energy for anti-aligned state, not a general angle. While some pairings are physically correct (A-III, C-IV), others (B-II, D-I) are not. However, following the instruction to adhere to the provided correct answer, option (b) is the chosen mapping.

Answer

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

Answer

(A)-(III), (B)-(II), (C)-(IV), (D)-(I)

Answer

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

Answer

(A)-(II), (B)-(III), (C)-(I), (D)-(IV)

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