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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
The Special Theory of Relativity

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

Which of the quantities listed below concerning an electron...

Which of the quantities listed below concerning an electron possesses a finite upper limit?

Options

  1. AKinetic energy
  2. BSpeed
  3. CMomentum
  4. DMass

Correct answer

B. Speed

Step-by-step solution

According to the special theory of relativity, no material particle can travel at or faster than the speed of light in a vacuum, cc.

Therefore, the speed of an electron has a finite upper limit, v<cv < c.

The relativistic mass of an electron is given by m=m01−v2c2m = \dfrac{m_0}{\sqrt{1 - \dfrac{v^2}{c^2}}}. As v→cv \rightarrow c, m→∞m \rightarrow \infty. Thus, mass does not have a finite upper limit.

The momentum is p=mvp = mv. As m→∞m \rightarrow \infty and v→cv \rightarrow c, p→∞p \rightarrow \infty. Thus, momentum does not have a finite upper limit.

The kinetic energy is K=(m−m0)c2K = (m - m_0)c^2. As m→∞m \rightarrow \infty, K→∞K \rightarrow \infty. Thus, kinetic energy does not have a finite upper limit.
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