Concepts Of Physics MCQ Edition [Volume 2]PhysicsThe Special Theory of Relativity

For a particle travelling at a relativistic speed v , the magnitude of its linear momentum is proportional to

Options

A1 - v^2/c^2
Bv
Cv 1 - v^2/c^2
D1 - v^2/c^2

Correct answer

C. v 1 - v^2/c^2

Step-by-step solution

The relativistic linear momentum of a particle of rest mass m₀ moving with velocity v is given by p = m₀ v 1 - v^2/c^2 Since m₀ is a constant, the magnitude of linear momentum is proportional to v 1 - v^2/c^2 .

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