Evaluating Magnetic Field Measurements on a Cylinder

[smahapatra3]

Homework Statement

In the figure the magnetic field in a region is vertical and was measured to have the values shown on the surface of a cylinder. Which of the following are true?

http://www.webassign.net/mi3/22-111-CylinderB.jpg

Which statements are true?
1. The measurements are probably incorrect, since we have never yet found a magnetic monopole.
2.The magnetic flux over the closed box is nonzero, which violates Gauss's Law for magnetism.
3. The measurements imply that the box contains nothing at all.
4. The measurements imply that the box contains a current-carrying loop of wire.
5. The measurements imply that the box contains a bar magnet.

Homework Equations

Gauss's Law.

The Attempt at a Solution

I think 1 is correct because monopoles don't exist. 2 is also right because of Gauss's Law. There must be something inside the box since there is a magnetic field but I'm not sure between 4 and 5.

 

[kuruman]

You are correct that statements 1 and 2 are true. There are no monopoles which is equivalent to saying that Gauss's law for magnetic flux through a closed surface be zero. If you think that it possible to have that picture correct with a closed current loop or bar magnet inside, would that not mean that the closed current loop or bar magnet are magnetic monopoles?