Which of the following statements is/are correct:-a)Mass and energy of a moving object are dependent entities.b)Massless particle can exists only if they move with the speed of light.c)The relative velocity of two photons approaching each other is equal to the velocity of light.d)Mass and energy of a moving object are independent entities.Correct answer is option 'A,B,C'. Can you explain this answer?

Question

Answer

(A) If the object is moving its total energy is E = mc² =

So, mass and energy of an moving object are dependant entities. When mass is being created or destroyed an equivalent amount of energy Simultaneously vanished or created and vice versa.
(B) We know that

That means the speed of a massless particle is always equals to the speed of light. Massless particle can exists only if they move with the speed of light. (C) we know that inverse lorentz transformation are

So, the relative velocity of two photons approaching each other is equal to the velocity of light.

Answer

(A) If the object is moving its total energy is E = mc² =

So, mass and energy of an moving object are dependant entities. When mass is being created or destroyed an equivalent amount of energy Simultaneously vanished or created and vice versa.
(B) We know that

That means the speed of a massless particle is always equals to the speed of light. Massless particle can exists only if they move with the speed of light. (C) we know that inverse lorentz transformation are

So, the relative velocity of two photons approaching each other is equal to the velocity of light.

Answer

Statement A: Mass and energy of a moving object are dependent entities.
Mass and energy are related through the famous equation derived by Albert Einstein, E=mc², where E represents energy, m represents mass, and c represents the speed of light in a vacuum. This equation shows that energy and mass are interchangeable and dependent on each other. When an object is at rest, its energy is solely in the form of its rest mass energy. However, when the object is in motion, it also possesses kinetic energy. So, the total energy of a moving object is the sum of its rest mass energy and its kinetic energy. Therefore, statement A is correct.

Statement B: Massless particle can exist only if they move with the speed of light.
According to the theory of relativity, massless particles, such as photons, travel at the speed of light. Photons have zero rest mass and only exist and propagate as electromagnetic waves or particles traveling at the speed of light. Their energy is solely in the form of their kinetic energy. Since their rest mass is zero, they can only exist and move at the speed of light. Therefore, statement B is correct.

Statement C: The relative velocity of two photons approaching each other is equal to the velocity of light.
According to the principle of relativity, the speed of light in a vacuum is constant for all observers, regardless of their relative motion. This means that the velocity of light is the same for all observers, regardless of their motion or the motion of the source of light. Therefore, when two photons approach each other, their relative velocity is equal to the velocity of light. Therefore, statement C is correct.

Statement D: Mass and energy of a moving object are independent entities.
As explained in statement A, mass and energy are dependent entities. The mass of a moving object contributes to its total energy, including both its rest mass energy and kinetic energy. Therefore, statement D is incorrect.

In conclusion, statements A, B, and C are correct, while statement D is incorrect.

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