Statement -1 : The magnetic field at the centre of a circular loop carrying current is zero.
Statement -2 : Due to symmetry the field prpduced by the diametrically opposite points add to each other.

Options

A. Statement -1 is True Statement -2 is True , Statement -2 is a correct explanation for Statement -1
B. Statement -1 is True Statement -2 is True Statement -2 is Not a correct explanation for Statement -1
C. Statement -1 is True Statement -2 is False
D. Statemenrt -1 is False Statement -2 is True

Answer

To analyze the statements given in the question, we will evaluate each statement step by step.

### Step 1: Evaluate Statement 1
**Statement 1:** The magnetic field at the center of a circular loop carrying current is zero.

To determine if this statement is true or false, we need to recall the principle of magnetic fields produced by current-carrying conductors. For a circular loop carrying current, the magnetic field at the center is not zero. In fact, it is directed perpendicular to the plane of the loop and has a specific value given by the formula:

\[ B = \frac{\mu_0 I}{2R} \]

where \(B\) is the magnetic field, \(\mu_0\) is the permeability of free space, \(I\) is the current, and \(R\) is the radius of the loop. Therefore, Statement 1 is **false**.

### Step 2: Evaluate Statement 2
**Statement 2:** Due to symmetry, the field produced by the diametrically opposite points adds to each other.

To analyze this statement, consider two diametrically opposite points on the circular loop. Each point produces a magnetic field at the center of the loop. According to the right-hand rule, the direction of the magnetic field produced by each segment of the loop can be determined by curling the fingers of the right hand in the direction of the current, with the thumb pointing in the direction of the magnetic field.

For diametrically opposite points:
- The magnetic field produced by one point will be directed outward from the loop.
- The magnetic field produced by the opposite point will also be directed outward from the loop.

Since both magnetic fields are in the same direction, they will add up rather than cancel each other out. Thus, Statement 2 is **true**.

### Conclusion
- **Statement 1:** False
- **Statement 2:** True

### Final Answer
The correct evaluation of the statements is that Statement 1 is false and Statement 2 is true.

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