An electron and proton enters a magnetic field perpendicularly both have same kinetic energy
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Here, less curved just means that radius is very high.
Given that Kinetic energy is same..
=> 1/2*mv2 = K (say)
with some rearrangement,
v = (2K/m)1/2 ….
=> m*v = (2km)½.…
Now, radius r = mv/qb
here magnitude of q is same for electron and proton and magnetic field is same.
which means radius is proportional to mv .
=> radius is proportional to (2Km)1/2
since proton has more m, it will have a larger radius and hence its path will be less curved.
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