An electron and a proton are detected in a cosmic ray experiment, the first with kinetic energy 10 keV, and the second with 100 keV. Which is faster, the electron or the proton ? Obtain the ratio of their speeds.
(Electron mass `=9.11xx10^(-31) kg`, proton mass `=1.67xx10^(-27) kg, 1 eV=1.60xx10^(-19) J)`.

Explanation

To determine which particle is faster (the electron or the proton) and to find the ratio of their speeds, we can use the kinetic energy formula. The kinetic energy (KE) of a particle is given by:

\[ KE = \frac{1}{2} mv^2 \]

where \( m \) is the mass of the particle and \( v \) is its velocity.

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