Question

Which of the following statements is not correct regarding conservation laws?
A) A conservation law is a hypothesis based on observations and experiments.
B) Conservation laws do not have a deep connection with symmetries of nature.
C) A conservation law cannot be proved.
D) Conservation of energy , linear momentum, angular momentum are considered to be fundamental laws of physics.

Answer 1

Hint: The law of conservation states that matter can be neither destroyed nor constructed and can only be converted from one form to another. It is one of the fundamental laws of physics. It is based on experiments and observation and has not been proved .

Complete step by step solution:
Conservation laws are one of the basic fundamentals of physics and are applicable to almost all areas of sciences and engineering. Based on the hypothesis and experiment a conservation law is mathematically expressed as a continuity equation, a partial differential equation which gives a relation between the amount of the quantity and the "transport" of that quantity.

Therefore the option (A) and (C) are correct statements.

The conservation laws consists of following laws:
Conservation of Energy: Conservation of energy implies that energy can be neither created nor destroyed but can be converted from one form of energy to another. Hence energy is conserved in an isolated system and it remains constant.

Conservation of linear momentum: Conservation of linear momentum implies that a body or system in motion stays in motion unless and until disturbed by an external force i.e. a body retains its motion unless and until an equal or greater amount of external force counters it.

Conservation of angular momentum: A rotating body remains rotating unless and until an external force disturbs it . This law is analogous to linear momentum for rotating bodies. An angular momentum is always conserved inside a rotating body unless an external twisting force “ torque” acts upon it.

Therefore option (D) is a correct statement.

According to Noether's theorem, each conservation law is associated with a symmetry in the underlying physics, i.e. the measurable property in an isolated system does not change with the course of time .

Therefore option (B) is an incorrect statement.

Hence the final answer for the given question is (B) as it is the only incorrect option regarding law of conservation.

Note: Conservation laws is the fundamental law of nature as it describes the various processes occurring in nature. Some examples of conservation of law are production of Hydroelectricity, nuclear bombs, moving vehicles etc. And conservation of law has stated that in an isolated system the sum of all forms of energy therefore remains constant.