Statement 1: The net force on a closed circular current carrying loop placed in a uniform magnetic field is zero.
Statement 2: The torque produced in a conducting circular ring is zero when it is placed in a uniform magnetic field such that the magnetic field is perpendicular to the plane of loop.

Options

A. If both statement 1 and statement 2 are ture, statement 2 is the correct explanation of statement 1.
B. If both statement 1 and statement 2 are ture, statement 2 is not the correct explanation of statement 1.
C. If statement 1 is true, statement 2 is false.
D. If statement 1 is false, statement 2 is true.

Answer

To solve the question, we need to analyze both statements provided:

**Statement 1:** The net force on a closed circular current-carrying loop placed in a uniform magnetic field is zero.

**Statement 2:** The torque produced in a conducting circular ring is zero when it is placed in a uniform magnetic field such that the magnetic field is perpendicular to the plane of the loop.

### Step-by-Step Solution:

**Step 1: Analyze Statement 1**
- A closed circular loop carrying current in a uniform magnetic field experiences forces on its segments due to the magnetic field. According to Fleming's Right-Hand Rule, the direction of the force on each segment of the loop can be determined.
- For a circular loop, the forces on opposite segments will be equal in magnitude but opposite in direction. Therefore, they will cancel each other out.
- Thus, the net force acting on the entire loop is zero.

**Conclusion for Statement 1:** True.

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**Step 2: Analyze Statement 2**
- The torque (\( \tau \)) on a current-carrying loop in a magnetic field is given by the formula:
\[ \tau = \vec{m} \times \vec{B} \]
where \( \vec{m} \) is the magnetic moment of the loop and \( \vec{B} \) is the magnetic field.
- When the magnetic field is perpendicular to the plane of the loop, the angle between the magnetic moment and the magnetic field is 90 degrees.
- The torque is maximum when the angle is 90 degrees, not zero. Therefore, the torque cannot be zero in this configuration.

**Conclusion for Statement 2:** False.

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### Final Conclusion:
- Statement 1 is true.
- Statement 2 is false.

### Answer:
The correct option is (C): Statement 1 is true, Statement 2 is false.

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