Question

the images below show two pairs of magnets. the magnets in different pairs do not affect each other. all the magnets shown are made of the same material, but some of them are different shapes. pair 1 pair 2 think about the magnetic force between the magnets in each pair. which of the following statements is true? the magnitude of the magnetic force is smaller in pair 1. the magnitude of the magnetic force is smaller in pair 2. the magnitude of the magnetic force is the same in both pairs.

Explanation:

Step1: Recall magnetic - force formula

The magnetic force between two magnets depends on the magnetic properties of the materials and the distance between them. For magnets of the same material, the force is inversely proportional to the square of the distance between them (similar to Coulomb's law for magnetic poles).

Step2: Compare distances

In Pair 1, the distance between the magnets is 2.5 mm. In Pair 2, the distance between the magnets is 1 mm.

Step3: Determine force relationship

Since the magnetic force $F\propto\frac{1}{r^{2}}$ (where $r$ is the distance between the magnets), a larger distance results in a smaller force. As $2.5\ mm>1\ mm$, the magnetic - force in Pair 1 is smaller.

Answer:

The magnitude of the magnetic force is smaller in Pair 1.