A magnetic needle performs `20` oscillations per minute in a horizontal plane. If the angle of dip be `30^@`, then how many oscillation per minute will this needle perform in vertical, north south plane and in vertical east -west plane?
Text Solution
AI Generated Solution
To solve the problem, we will follow these steps:
### Step 1: Understand the given data
- The magnetic needle performs 20 oscillations per minute in a horizontal plane (let's denote this as \( n_H = 20 \) oscillations/min).
- The angle of dip \( \theta = 30^\circ \).
### Step 2: Determine the relationship between oscillations and the angle of dip
The oscillation frequency of a magnetic needle depends on the components of the Earth's magnetic field. The formula that relates the oscillation frequency in different planes is given by:
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