Which of the following statements is a consequence of the equation E=mc^2?
A. Energy is released when matter is destroyed
B. Mass and energy are equivalent
C. The law of conservation of energy must be modified to state that mass and energy are conserved in any process
D. All of the above***
Please help !!!!
correct, all of the above.
The correct answer is D. All of the above.
Explanation:
The equation E=mc^2, derived by Albert Einstein, has several consequences:
- A. Energy is released when matter is destroyed: This is known as the process of annihilation, where matter is converted into energy. When matter and antimatter collide, they annihilate each other, releasing energy.
- B. Mass and energy are equivalent: The equation E=mc^2 shows that mass and energy are different forms of the same underlying entity. The equation implies that energy can be converted into mass and vice versa.
- C. The law of conservation of energy must be modified to state that mass and energy are conserved in any process: The equation shows that mass and energy can be converted back and forth, so the law of conservation of energy needs to be expanded to include the conservation of mass and energy as a whole.
Therefore, the correct statement is D. All of the above.
To determine which of the given statements is a consequence of the equation E=mc², we can analyze each option:
A. Energy is released when matter is destroyed.
This statement is indeed a consequence of the equation E=mc². It relates to the concept of mass-energy equivalence, suggesting that when matter is destroyed or converted into energy, a certain amount of energy is released.
B. Mass and energy are equivalent.
This statement directly corresponds to the equation E=mc², as it states that mass and energy are equivalent, meaning they can be converted into each other.
C. The law of conservation of energy must be modified to state that mass and energy are conserved in any process.
This statement is not a correct consequence of the equation E=mc². The equation itself does not modify the law of conservation of energy. Rather, it broadens our understanding of energy by showing that mass can be converted into energy and vice versa.
Therefore, the correct answer is D. All of the above, as statements A and B are both consequences of the equation E=mc².