A negative charged particle falling freely under gravity enters a region having uniform horizontal magnetic field pointing towards north.The particle will be deflected towards

Options

A. East
B. West
C. North
D. South

Answer

To determine the direction in which a negatively charged particle will be deflected when it enters a uniform horizontal magnetic field pointing towards the north, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information**:
- A negatively charged particle is falling freely under the influence of gravity.
- It enters a region with a uniform horizontal magnetic field directed towards the north.

2. **Understand the Forces Acting on the Particle**:
- The particle is under the influence of gravitational force acting downwards.
- When it enters the magnetic field, it will experience a magnetic force due to its charge and velocity.

3. **Determine the Direction of Motion**:
- Since the particle is falling freely, its velocity vector (v) is directed downwards (towards the ground).

4. **Apply Fleming's Left-Hand Rule**:
- For a negatively charged particle, we can use Fleming's Left-Hand Rule, which states:
- Point your thumb in the direction of the velocity (downwards).
- Point your first finger in the direction of the magnetic field (towards the north).
- The second finger will then point in the direction of the force acting on the particle.

5. **Visualize the Directions**:
- Thumb (velocity): Downwards (towards the ground).
- First finger (magnetic field): Towards the north.
- The second finger will point towards the west.

6. **Conclusion**:
- According to Fleming's Left-Hand Rule, the magnetic force acting on the negatively charged particle will be directed towards the west.

### Final Answer:
The negatively charged particle will be deflected towards the **west**.