Magnetic Effects Of Current Question 352
Question: An electron, a proton, a deuteron and an alpha particle, each having the same speed are in a region of constant magnetic field perpendicular to the direction of the velocities of the particles. The radius of the circular orbits of these particles are respectively Re, Rp, Rd and Ra. It follows that [UPSEAT 2004]
Options:
A) $ R_{e}=R_{p} $
B) $ R_{p}=R_{d} $
C) $ R_{d}={R_{\alpha }} $
D) $ R_{p}={R_{\alpha }} $
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Answer:
Correct Answer: C
Solution:
By using $ r=\frac{mv}{qB}=\frac{v}{( \frac{q}{m} )B}\Rightarrow r\propto \ \frac{1}{( q/m )} $
$ \because \ {( \frac{q}{m} ){{e}^{-}}}>{( \frac{q}{m} ){{{p}^{+}}}}$ $>{ {{( \frac{q}{m} )}{d}}={{( \frac{q}{m} )}{\alpha }} } $
$ \therefore \ R_{d}={R_{\alpha }} $
BETA
