Consider the following statements about electric dipole and select the correct ones
`S_1` : Electric dipole moment vector p
is directed from the negative charge to the positive charge.
`S_2` : The electric field of a dipole at a point with position vector `|vecr|` depends on `1/r^2` as well as the angle between `vecr and vecp`
S3 : The electric dipole potential falls off as `1/r^2` and not as `1/r`
S4 : In a uniform electric field, the electric dipole experiences no net forces but a torque `taur = vecp xxvecE`

Options

A. S2, S3 and S4
B. S3 and S4
C. S2 and S3
D. All four

Explanation

To analyze the statements about electric dipoles, we will evaluate each statement one by one.

### Step 1: Evaluate Statement S1
**Statement S1**: Electric dipole moment vector **p** is directed from the negative charge to the positive charge.

**Analysis**: The electric dipole moment is defined as a vector quantity that points from the negative charge to the positive charge. Therefore, this statement is **true**.

### Step 2: Evaluate Statement S2
**Statement S2**: The electric field of a dipole at a point with position vector **|r|** depends on **1/r²** as well as the angle between **r** and **p**.

**Analysis**: The electric field **E** due to an electric dipole at a point in space is indeed dependent on the distance from the dipole and the angle between the position vector and the dipole moment vector. The electric field varies as **1/r³** and is influenced by the angle. Thus, this statement is **true**.

### Step 3: Evaluate Statement S3
**Statement S3**: The electric dipole potential falls off as **1/r²** and not as **1/r**.

**Analysis**: The potential **V** due to an electric dipole at a distance **r** falls off as **1/r²**. This is a characteristic of dipole potential, which is different from the potential due to a single point charge that falls off as **1/r**. Therefore, this statement is **true**.

### Step 4: Evaluate Statement S4
**Statement S4**: In a uniform electric field, the electric dipole experiences no net forces but a torque **τ = p × E**.

**Analysis**: In a uniform electric field, the forces acting on the positive and negative charges of the dipole are equal in magnitude and opposite in direction, resulting in a net force of zero. However, a torque is exerted on the dipole, which is given by the cross product of the dipole moment and the electric field. Therefore, this statement is **true**.

### Conclusion
All four statements (S1, S2, S3, and S4) are correct.

Thus, the answer to the question is **all of the above statements are correct**.

---