If an electron and a proton have equal kinetic energy , then the speed of the electron will be `………..` times the speed of the proton .

Options

A. 6
B. `21.42`
C. `42.83`
D. `83.42`

Answer

C

Explanation

`1/2m_(e) v_(e)^(2) =1/2m_(p)v_(p)^(2)`
`:. ((v_(e))/(v_(p)))^(2) =(m_(p))/(m_(e))`
` = (1.67 xx10^(-27))/(9.1 xx10^(-31))`
` :. (v_(e))/(v_(p)) = sqrt(0.183516xx10^(4))`
` = 0.4283 xx10^(2)`
` = 42.83`