Final answer:
The angle of dip at that place is 60 degrees. The ratio of the horizontal component to the total magnetic field is √6/6.
Step-by-step explanation:
To find the value of the angle of dip, we can use the given relationship between the horizontal and vertical components of the Earth's magnetic field. Let's assume the vertical component is V and the horizontal component is H. According to the problem, H = (1/√3)V. The angle of dip, also known as the inclination angle, can be calculated using the formula tan(θ) = V/H. Substituting the values, we get tan(θ) = V/((1/√3)V). Simplifying, we find that tan(θ) = √3. Taking the inverse tangent of both sides, we get the angle of dip as θ = 60 degrees.
To find the ratio of the horizontal component to the total magnetic field at that place, we need to know the magnitude of the total magnetic field at that place. However, since the horizontal component H is given as (1/√3)V, we can also express the total magnetic field as V/√2. Therefore, the ratio of the horizontal component to the total magnetic field is H/V = (1/√3)V / (V/√2) = 1/√3 * √2 = 1/√6 = √6/6.