Which of the following quantities related to an electron has a finite upper limit?

Question

KollegeApply · Accepted Answer

Speed If an electron is given a very high speed v, its mass m = \gamma m_o = m_o/$\sqrt$(1 - v^2/c^2) \text{momentum, }p = mv = \gamma m_o v = m_o v/$\sqrt$(1 - v^2/c^2) \text{kinetic energy, }k = $\frac{1}{2}$m v^2 = $\frac{1}{2}$\gamma m_o v^2 = $\frac{1}{2}$m_o v^2/$\sqrt$(1 - v^2/c^2) \gamma = 1/$\sqrt$(1 - v^2/c^2) at v = c, \gamma = 1/$\sqrt$(1 - c^2/c^2) = \infty \Rightarrow\text{ at }v = c, m = p = k = \infty Therefore, there's an upper bound for v to be always less than c but no upper limits for mass, momentum and kinetic energy of the electron.

AChoose Your Answer