Due to isotropy of space,which law is obtained?

Dear student,
Law of conservation of angular momentum  is the correct answer.

As momentum conservation is related to, and indeed can be founded upon, the homogeneity of space (the indistinguishability of one point in space from another—, angular-momentum conservation is similarly tied to the isotropy of space (the indistinguishability of one direction from another). An isolated object at rest in space is not expected to be self-accelerating in some direction, for that would imply an inhomogeneity of space. Nor is it expected to set itself spontaneously into rotation, for that would imply an anisotropy of space. The absence of spontaneous rotation requires the absence of any net internal torque, which in turn implies that the angular momentum of an isolated system is conserved. The bland sameness of space is at the root of both momentum conservation and angular-momentum conservation.We can relate to it because angular momentum provides a tight logical link only for rigid objects For looser systems whose parts are in relative motion, the connection between spatial isotropy and angular-momentum conservation is more subtle.

​​​​​​​Regards