Teaching CSIR NET Mock Test Series Physical Sciences Classical Mechanics Special Theory of Relativity
In particle dynamics, it is crucial to determine when relativistic effects become significant. A particle with rest mass m0 is moving at a speed v. Its classical kinetic energy is given by \(K_{\text{cl}} = \frac{m_0 v^2}{2}\). Let Krel represent the relativistic expression for its kinetic energy. By expanding the ratio \(K_{\text{rel}} / K_{\text{cl}}\) in powers of \(v^2 / c^2\), estimate the value of \(v^2 / c^2\) at which \(K_{\text{rel}}\) differs from \(K_{\text{cl}}\) by 10 percent.
1
1.074.
2
2.074.
3
1.064.
4
2.064.