A short bar magnet produces magnetic fields of equal induction at two points one on the axial line and the other on the equatorial line. What is the ratio of their distances.

Explanation

To solve the problem of finding the ratio of distances from a short bar magnet where the magnetic induction is equal at two points (one on the axial line and the other on the equatorial line), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find the ratio of distances \( D_1 \) (from the magnet to the axial point) and \( D_2 \) (from the magnet to the equatorial point) where the magnetic induction \( B \) is equal at both points.

2. **Magnetic Induction at Axial Point**: The magnetic induction \( B_{\text{axial}} \) at a point on the axial line of a short bar magnet is given by the formula:
\[
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