Special Relativity and Lorentz Transformations Quiz

The equation for mass variation is $M = M_0 / \sqrt{1 - v^2/c^2}$.

The equation for Lorentz transformation is $x' = \gamma (x - vt)$, $y' = y$, $z' = z$, $t' = \gamma (t - vx/c^2)$.

The equation for momentum is $p = \gamma mv$, where $p$ is momentum, $m$ is mass, $v$ is velocity, and $\gamma$ is the Lorentz factor.

<p>The condition for Lorentz transformation to remain invariant is $x^2 + y^2 + z^2 - (ct)^2 = x'^2 + y'^2 + z'^2 - (ct')^2$.</p> Signup and view all the answers

<p>The equation for time dilation is $t' = \gamma (t - vx/c^2)$, where $t'$ is the dilated time, $t$ is the proper time, $v$ is the relative velocity, $c$ is the speed of light, and $\gamma$ is the Lorentz factor.</p> Signup and view all the answers