Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Classical Mechanics Special Theory of Relativity
Cosmic Ray Protons: These have energies up to \(10^{20} \, \text{eV}\) (almost 10 Joules).
Galaxy Size: The galaxy has a diameter of approximately \(10^5 \) light years.
Given:
\(1 \, \text{eV} = 1.6 \times 10^{-19} \, \text{J}\)
Proton mass \(M_p = 1.67 \times 10^{-27} \, \text{kg}\)
How long does it take for the proton to traverse the galaxy in its own rest frame (proper time)?
1
\( τ =3.15 \times 10^{10}\ s\)
2
\( τ =3.15 \times 10^{11}\ s\)
3
\( τ =3.15 \times 10^{12}\ s\)
4
\( τ =3.15 \times 10^{15}\ s\)