STATEMENT-1 `:`The direction of electric dipole moment is directed from `+q` to -q
STATEMENT -2 `:` Electric field at any point in space may be perpendicular to the dipole moment.
STATEMENT-3 `:` A dipole experiences maximum torques at the position where potential energy is zero.

Options

A. T F T
B. T F F
C. F T F
D. F T T

Answer

To analyze the statements given in the question, we will evaluate each statement one by one and determine their validity.

### Step 1: Evaluate Statement 1
**Statement 1:** The direction of electric dipole moment is directed from +q to -q.

**Analysis:**
The electric dipole moment \( \vec{p} \) is defined as the product of the charge \( q \) and the displacement vector \( \vec{d} \) that points from the negative charge to the positive charge. Therefore, the correct direction of the dipole moment is from -q to +q, not from +q to -q.

**Conclusion:** Statement 1 is **false**.

### Step 2: Evaluate Statement 2
**Statement 2:** Electric field at any point in space may be perpendicular to the dipole moment.

**Analysis:**
The electric field generated by a dipole can indeed be oriented in various directions relative to the dipole moment. There are positions in space where the electric field can be perpendicular to the dipole moment. For example, at certain points along the perpendicular bisector of the dipole, the electric field can be perpendicular to the dipole moment vector.

**Conclusion:** Statement 2 is **true**.

### Step 3: Evaluate Statement 3
**Statement 3:** A dipole experiences maximum torque at the position where potential energy is zero.

**Analysis:**
The potential energy \( U \) of a dipole in an electric field is given by the formula \( U = -\vec{p} \cdot \vec{E} = -pE \cos \theta \), where \( \theta \) is the angle between the dipole moment and the electric field. The potential energy is zero when \( \cos \theta = 0 \), which occurs at \( \theta = \frac{\pi}{2} \) (90 degrees). At this angle, the torque \( \tau \) is given by \( \tau = \vec{p} \times \vec{E} = pE \sin \theta \). The torque is maximum when \( \sin \theta = 1 \), which occurs when \( \theta = 90^\circ \). Thus, the statement is correct.

**Conclusion:** Statement 3 is **true**.

### Final Summary
- Statement 1: **False**
- Statement 2: **True**
- Statement 3: **True**

### Correct Option
The correct option based on the evaluations is that Statement 1 is false, while Statements 2 and 3 are true.

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