A deuteron and an alpha particle having same momentum are in turn allowed to pass through a magnetic field \vec{B}, acting normal to the direction of motion of the particles. Calculate the ratio of the radii of the circular paths described by them.

 

 

 

 
 
 
 
 

Answers (1)

We know that deuteron has charge of +e and mass 2m_{p} where m_{p} is the mass of the proton,

Similarly,

\alpha- particle has charge of +2e and mass +4m_{p} .

The radius of the circular path

 r=\frac{mv}{qB}

Since momentum are same (given in the question) and B is also constant,

therefore

 \frac{r_d}{r_{\alpha}}=\frac{q_{\alpha}}{q_d}=\frac{2}{1}

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