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The kinetic energy of a particle depends on the reference frame of the observer. In an exoergic reaction, the total final kinetic energy is greater than the total initial kinetic energy. Which of the following is correct? (A) A reaction that is exoergic in one inertial reference frame is exoergic in all inertial reference frames. (B) It is possible to find a reference frame in which an exoergic reaction could appear to be endoergic. (C) It is possible to find a reference frame in which an exoergic reaction could appear to be elastic. (D) The net change in kinetic energy will have the same value in all inertial reference frames.

The kinetic energy of a particle depends on the reference frame of the observer. In an exoergic reaction, the total final kinetic energy is greater than the total initial kinetic energy. Which of the following is correct?
(A) A reaction that is exoergic in one inertial reference frame is exoergic in all inertial reference frames.
(B) It is possible to find a reference frame in which an exoergic reaction could appear to be endoergic.
(C) It is possible to find a reference frame in which an exoergic reaction could appear to be elastic.
(D) The net change in kinetic energy will have the same value in all inertial reference frames.

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
The correct option is (D).
If the final kinetic energy is less than the initial kinetic energy, then some of the original kinetic energy is converted into internal energy of the final particles. These reactions are energy absorbing (endoergic) and are analogous to the collisions we have been calling “inelastic”. Therefore option (B) is ruled out.
For elastic collisions, in which the kinetic energy does not change, we must have initial total kinetic energy is equal to the final total kinetic energy. In practice this means that the identities of the colliding bodies do not change and that there are no inertial regroupings of their constituents. Therefore option (C) is ruled out.
In an exoergic reaction, the total final kinetic energy is greater than the total initial kinetic energy, which means that some internal energy of the colliding objects has been changed into kinetic energy. So it is not possible a reaction that is exoergic in one inertial reference frame is exoergic in all inertial frame. Thus option (A) is ruled out. But the total net change in kinetic energy will have the same value in all inertial reference frames. Therefore option (D) is correct.

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