A current carrying loop lies on a smooth horizontal plane. Then,

A. it is possible to establish a uniform magnetic field in the region so that the loop starts rotating about its own axis.
B. it is possible to establish a uniform magnetic field in the region so that the loop will tip over over about any of the point
C. it is not possible that loop will tip over about any of the point whatever be the direction of established magnetic field (uniform)
D. both (a) and (b) are correct

Options

A. it is possible to establish a uniform magnetic field in the region so that the loop starts rotating about its own axis.
B. it is possible to establish a uniform magnetic field in the region so that the loop will tip over over about any of the point
C. it is not possible that loop will tip over about any of the point whatever be the direction of established magnetic field (uniform)
D. both (a) and (b) are correct

Answer

To solve the given question, let's analyze the options provided regarding a current-carrying loop lying on a smooth horizontal plane.

### Step 1: Understanding the Setup
We have a current-carrying loop placed on a smooth horizontal plane. The loop can experience a torque when a magnetic field is applied. The torque (\( \tau \)) experienced by the loop is given by the equation:
\[ \tau = \mathbf{m} \times \mathbf{B} \]
where \( \mathbf{m} \) is the magnetic moment of the loop and \( \mathbf{B} \) is the magnetic field.

### Step 2: Analyzing Option A
**Option A states**: "It is possible to establish a uniform magnetic field in the region so that the loop starts rotating about its own axis."

- For the loop to rotate about its own axis, the torque must not only be present but also directed in such a way that it causes rotation about that axis.
- However, if the magnetic field is uniform and lies in the same plane as the loop, the torque will always lie in the plane of the loop and cannot cause rotation about its own axis.
- Therefore, **Option A is incorrect**.

### Step 3: Analyzing Option B
**Option B states**: "It is possible to establish a uniform magnetic field in the region so that the loop will tip over about any of the points."

- Tipping over means that the loop can rotate about a point on its edge or any point in the plane.
- By establishing a magnetic field that is not in the same plane as the loop, we can create a torque that can cause the loop to rotate about any point.
- Thus, **Option B is correct**.

### Step 4: Analyzing Option C
**Option C states**: "It is not possible that the loop will tip over about any of the points whatever be the direction of established magnetic field (uniform)."

- This statement is incorrect because, as established in Option B, it is indeed possible to create a torque that allows the loop to tip over about any point by appropriately orienting the magnetic field.
- Therefore, **Option C is incorrect**.

### Step 5: Analyzing Option D
**Option D states**: "Both (A) and (B) are correct."

- Since we have determined that Option A is incorrect and Option B is correct, this means that **Option D is also incorrect**.

### Conclusion
Based on the analysis:
- **Correct Answer**: **B** (It is possible to establish a uniform magnetic field in the region so that the loop will tip over about any of the points).