2026 DSS P1 Q11

The strength, \(S\) units, of a magnetic signal at a point is inversely proportional to the cube of the distance, \(d\) cm, from the transmitter.

1. When \(S=100,d=3\). Find \(S\) when \(d=5\).[2]
2. When the value of \(d\) is reduced to 25% of its original value, \(S\) changes by a factor of \(m\). Find \(m\).[1]