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Work, Energy And Power

Question
CBSEENPH11017191

An electron and proton have equal momentum. Which has more kinetic and what is the ratio of kinetic energy of electron to that of proton?

Solution

Given,
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We know,
Kinetic energy, K equals fraction numerator p squared over denominator 2 m end fraction
Therefore,
Kinetic energy of the electron, K subscript e equals fraction numerator p squared over denominator 2 m subscript e end fraction
Kinetic energy of the proton, K subscript p equals fraction numerator p squared over denominator 2 m subscript p end fraction
Ratio is given by, 
Now, K subscript e over K subscript p equals fraction numerator p squared divided by 2 m subscript e over denominator p squared divided by 2 m subscript p end fraction equals m subscript p over m subscript e equals 1837 greater than 1
That is, kinetic energy of electron is greater than proton and ratio of kinetic energy of electron to proton is equal to 1837.