At the magnetic north pole of the earth, the value of horizontal component of earth's magnetic field and angle of dip are, respectively

Answer

To solve the question regarding the values of the horizontal component of the Earth's magnetic field and the angle of dip at the magnetic North Pole, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Earth's Magnetic Field Components**:
- The Earth's magnetic field at any point can be broken down into two components: the horizontal component (B_H) and the vertical component (B_V). The resultant magnetic field (B_E) can be represented as:
\[ B_E = \sqrt{B_H^2 + B_V^2} \]

2. **Identifying the Angle of Dip**:
- The angle of dip (δ) is defined as the angle made by the resultant magnetic field with the horizontal plane. It can be calculated using the relationship:
\[ \tan(δ) = \frac{B_V}{B_H} \]

3. **Conditions at the Magnetic North Pole**:
- At the magnetic North Pole, the vertical component (B_V) of the magnetic field is at its maximum, while the horizontal component (B_H) is zero. This is because the magnetic field lines are directed straight down at the poles.

4. **Calculating the Horizontal Component**:
- Since at the magnetic North Pole, the horizontal component (B_H) is zero:
\[ B_H = 0 \]

5. **Calculating the Angle of Dip**:
- Given that B_H = 0, the angle of dip (δ) becomes:
\[ \tan(δ) = \frac{B_V}{0} \]
- This implies that δ = 90 degrees, indicating that the magnetic field is directed vertically downwards.

6. **Final Values**:
- Therefore, at the magnetic North Pole:
- The horizontal component of the Earth's magnetic field (B_H) is **0**.
- The angle of dip (δ) is **90 degrees**.

### Summary of the Answer:
- The value of the horizontal component of the Earth's magnetic field at the magnetic North Pole is **0**.
- The angle of dip at the magnetic North Pole is **90 degrees**.