Question

An alpha particle and a proton moving with the same speed enter the same
magnetic field region at right angles to the direction of the field. Show
the trajectories followed by the two particles in the region of the magnetic field. Find the ratio of the radii of the circular paths which the two particles may describe.

It's urgent plz....answer fast...
I will mark ur answer as brainliest....​

Answer 1

                                      Fore on a charged particle in a magnetic field,

F=qVBsinθ

When θ=  

2

π

​  

,F=qVB and for electron

=qVB=  

r  

e

​  

 

m  

e

​  

V  

2

 

​  

     (i)

For proton;

qVB=  

r  

p

​  

 

m  

p

​  

V  

2

 

​  

      (ii)

From equation i and ii;

m  

p

​  

 

m  

e

​  

 

​  

=  

r  

p

​  

 

r  

e

​  

 

​  

 

∵m  

e

​  

<m  

p

​  

 

⟹r  

e

​  

<r  

p

​  

 thus radius of electron is smaller.