Is there any formula which can help me to find out the stregth of magnetic field required to catch a very fast moving object of very negligiable mass around 0.32 gm.

When we can find the strength of magnetic field of a moving charge(a bunch of electrons of very quantum mass), then m = 0.32 gm is very massive as compare to the massof an electron or proton..
Thre would be limiting approach under classical mechanics-magnetism.