Question

The symmetry of the law of nature with respect to translation in space gives rise to conservation of
(1) Energy
(2) Linear momentum
(3) Charge
(4) Angular momentum
Explain.​

Answer 1

energy ,because of law of nature also says that energy can neither be created nor destroyed.

Answer 2

Option (2) Linear momentum is conserved in the symmetry of the law of nature with respect to translation in space.

• The element's symmetry to each other is described in the law of symmetry.
• According to Noether's theorem, every symmetry is associated with the conservation of law.
• In the question translation in space is mentioned, and the translation in space gives rise to the linear momentum conservation.
• When a phenomenon is viewed from a view different point of view the phenomenon is the same from all views. That is described by the symmetry of law.

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