Question

Protons and a-particles of equal momenta enter a uniform
magnetic field normally. The radii of their orbits will have
the ratio.
(a) 1 (b) 2 (c) 0.5 (d) 4

Answer 1

Answer:

a is the correct answer I am sure about it

Answer 2

Answer:

radius of proton to radius of alpha partile is 1:2

Explanation:

let the charge of proton be q,then charge on apha particla is 2q.since charge on alpha is +2 and on proton is +1

let The mass of proton be m and the mass of alpha particle be 4m.

since proton has only 1 p ,and alpha particle has 2p,2n

and now ,

$r = \frac{mv}{qb }$

where m is the mass,v the velocity of trajectory and q the charge and b the magnetic field .

then ratio of proton to alpha is

m/q:4m/2q

that implies ratio is 1:2

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