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Magnetic field applied on a cyclotron is...

Magnetic field applied on a cyclotron is `0*7T` and radius of its dees is `1*8m`. What will be the energy of the emergent protons in `MeV`? Mass of proton`=1*67xx10^-27kg`.

Text Solution

Verified by Experts

`E = (q^(2) B^(2) r^(2))/(2m)`
`=((1.6 xx 10^(-19))^(2) xx (0.7)^(2) xx (1.8)^(2))/(2 xx 1.67 xx 10^(-27)) J`
`= ((1.6 xx 10^(-19))^(2) xx (0.7)^(2) xx (1.8)^(2))/(2 xx 1.67 xx 10^(-27) xx 1.6 xx 10^(-13) MeV`
= 76 MeV
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