Force on each pole of the magnet:
The force acting on each pole of the magnet can be determined using the formula:

F = BIL

Where:
F is the force,
B is the magnetic field strength,
I is the current, and
L is the length of the magnet.

Given that the force acting on each pole is 4.2×10^-4N and the magnetic field strength is 7A/m, we can rearrange the formula to solve for the current:

I = F / (B * L)

Calculating the current:
Substituting the given values into the formula, we have:

I = 4.2×10^-4N / (7A/m * 0.1m)

Simplifying the expression:

I = 6×10^-3 A

Moment of the magnet:
The moment of a magnet is a measure of its strength and is given by the formula:

M = I * A

Where:
M is the moment of the magnet,
I is the current, and
A is the area of the magnet.

In this case, the distance between the poles is given as 10cm. Assuming the magnet is a rectangular bar magnet, the area A can be calculated as:

A = length * width

Since the magnet is not described in detail, we will assume a simple rectangular shape for calculation purposes.

Calculating the area:
Given that the distance between the poles is 10cm, we convert it to meters:

L = 0.1m

Assuming the width of the magnet is negligible compared to the length, we can set the width as:

W = 0.01m

Calculating the moment:
Substituting the values into the formula for the area, we have:

A = 0.1m * 0.01m

Simplifying the expression:

A = 0.001 m^2

Now, we can calculate the moment of the magnet using the formula:

M = 6×10^-3 A * 0.001 m^2

Simplifying the expression:

M = 6×10^-6 Am^2

Therefore, the moment of the magnet is 6×10^-6 Am^2.