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Which basic law is used for the derivation of mass variation with velocity?

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Which basic law is used for the derivation of mass variation with velocity?

(a) Law of conservation of Energy

(b) Law of conservation of Kinetic Energy

(c) Law of conservation of Momentum

(d) Law of conservation of mass

The question was posed to me in exam.

Question is from Mass Variation with Velocity in section Ultrasonics & Relativity of Engineering Physics I

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The correct choice is (c) Law of conservation of Momentum

To explain: The law of conservation of momentum is used for the derivation of the formula. It is assumed that two particles in a frame collides elastically and are rebounded.

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