Question

an alpha particle and a proton are moving in a plane of paper in a region where there is uniform magnetic field (B) directed normal to the plane of the paper.if the two particles have a equal linear momentum,what will be the ratio of the radii of their trajectories in the field ?

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Ishitagarg asked in Physics

an alpha particle and a proton are moving in a plane of paper in a region where there is uniform magnetic field (B) directed normal to the plane of the paper.if the two particles have a equal linear momentum,what will be the ratio of the radii of their trajectories in the field ?

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Kranav.sharma... answered this
4801 helpful votes in Physics, Class XII-Science

the magnitude of the radius is given as

 

r = mv/qB = p/qB 

 

so, for proton r1 = p1 / q1.B

and 

for deuteron r2 = p2 / q2.B

 

thus, as p1 = p2 = p and

q1 = 2q2 = 2q 

thus 

r1/r2 = q2/q1 = 2q/q

 

so, the ratio of their radii is

 r1/r2 = 2

or  r1:r2 = 2:1

I hope u get that
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