Input interpretation
Cerenkov radiation
Equation
γ = 1 + K/(m c^2) | v_p = c sqrt(1 - 1/γ^2) θ = cos^(-1)(c/(n v_p)) | c_m = c/n | θ | Cerenkov angle K | kinetic energy of particle m | mass of particle n | refractive index of medium γ | relativistic gamma v_p | velocity of particle in medium c_m | light speed in medium c | speed of light (≈ 2.998×10^8 m/s)
Input values
kinetic energy of particle | 0.5 MeV (megaelectronvolts) mass of particle | 1 m_e (electron mass) refractive index of medium | 1.33
Result
Cerenkov angle | 29.38° (degrees) = 512.8 mrad (milliradians) = 0.5128 radians = 29 degrees 22 arc minutes 50.62 arc seconds light speed in medium | 225408 km/s (kilometers per second) = 5.042×10^8 mph (miles per hour) = 2.254×10^8 m/s (meters per second) = 0.7519 c (speed of light) relativistic gamma | 1.978 velocity of particle in medium | 258680 km/s (kilometers per second) = 5.786×10^8 mph (miles per hour) = 2.587×10^8 m/s (meters per second) = 0.8629 c (speed of light)