Question

A proton and fallow same circular path in magnetic field the ratio of kineyic energies

Answer 1

Answer:

radius described by charged particle in magnetic field is given by, or,

where P is linear momentum of charged particle, q is charge on it and B is magnitude of magnetic field .

we know, kinetic energy , K = P²/2m

so, P = √{2Km}

now r = √{2Km}/qB

if K and B are constant then, r is directly proportional to square root of m and inversely proportional to q.

or,

mass of proton,

mass of alpha particle,

charge on proton,

charge on alpha particle,

so, ratio of radius = √(1u/4u) × (2e/1e) = 1

hence, ratio of radius described by them is 1 : 1

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