Torque on a dipole MCQ Questions and Answers
1. An electric dipole of dipole moment p is placed in a uniform electric field E at an angle θ. What is the magnitude of the torque acting on it?
A. pE cos θ
B. pE sin θ
C. pE tan θ
D. pE
Correct Answer:
pE sin θ
Explanation:
The torque on an electric dipole in a uniform electric field is given by τ = pE sin θ, where θ is the angle between the dipole moment and the electric field.
2. When an electric dipole is placed parallel to a uniform electric field, the torque acting on it is:
A. Maximum
B. Zero
C. pE
D. p/E
Correct Answer:
Zero
Explanation:
For a parallel dipole, θ = 0°. Since τ = pE sin θ and sin 0° = 0, the torque is zero.
3. The torque on an electric dipole in a uniform electric field is maximum when the angle between the dipole moment and the field is:
A. 0°
B. 30°
C. 90°
D. 180°
Correct Answer:
90°
Explanation:
Torque is τ = pE sin θ. It is maximum when sin θ = 1, which occurs at θ = 90°.
4. An electric dipole has dipole moment 2 C m and is placed in a uniform electric field of 3 N/C at 90°. What is the torque on the dipole?
A. 1.5 N m
B. 5 N m
C. 6 N m
D. 9 N m
Correct Answer:
6 N m
Explanation:
Using τ = pE sin θ, τ = 2 × 3 × sin 90° = 6 N m.
5. The direction of torque on an electric dipole in a uniform electric field is given by:
A. p × E
B. E × p
C. p + E
D. p · E
Correct Answer:
p × E
Explanation:
The torque vector on an electric dipole is given by τ = p × E, so its direction is determined by the cross product of dipole moment and electric field.
6. If the angle between an electric dipole and a uniform electric field is 30°, its torque is:
A. pE
B. pE cos 30°
C. pE sin 30°
D. Zero
Correct Answer:
pE sin 30°
Explanation:
The torque on a dipole is τ = pE sin θ. For θ = 30°, the torque is pE sin 30°.
7. An electric dipole experiences zero torque in a uniform electric field when it is oriented:
A. Perpendicular to the field only
B. At 45° to the field only
C. Parallel or antiparallel to the field
D. At 60° to the field only
Correct Answer:
Parallel or antiparallel to the field
Explanation:
Torque is zero when sin θ = 0, which occurs at θ = 0° and 180°. These correspond to parallel and antiparallel orientations.
8. The SI unit of torque acting on an electric dipole is:
A. N/C
B. C m
C. N m
D. J/C
Correct Answer:
N m
Explanation:
From τ = pE sin θ, the unit of torque is newton metre (N m), which is also equivalent to joule.
9. If the electric field acting on a dipole is doubled while its dipole moment and orientation remain unchanged, the torque becomes:
A. Half
B. Unchanged
C. Double
D. Four times
Correct Answer:
Double
Explanation:
Since τ = pE sin θ, torque is directly proportional to the electric field E when p and θ are constant. Therefore, doubling E doubles the torque.
10. If the dipole moment of an electric dipole is doubled while the electric field and orientation remain unchanged, the torque becomes:
A. Half
B. Unchanged
C. Double
D. Four times
Correct Answer:
Double
Explanation:
The torque is τ = pE sin θ. With E and θ constant, torque is directly proportional to p, so doubling the dipole moment doubles the torque.
Short questions are currently unavailable for this page.