 #1
mcastillo356
Gold Member
 471
 208
 Homework Statement:

Two particles of the same charge and masses ##m_1## and ##m_2## are accelerated by the same difference of electric potential ##\Delta{V}##. Then they enter at a place where there is a magnetic field ##\vec{B}## perpendicular to their movement direction. What relation is between the radius of the circular path drawn by both particles?
a)##R_1/R_2=[m_1/m_2]^{1/2}##
b)##R_1/R_2=m_1\Delta{V}/m_2 B##
c)##R_1/R_2=m_1/m_2##
d##R_1/R_2=m_2/m_1##
 Relevant Equations:
 ##R=\dfrac{m E}{qB}##
$$R_1=\dfrac{m_1 E}{qB}$$
$$R_2=\dfrac{m_2 E}{qB}$$
$$\therefore{\dfrac{R_1}{R_2}=\dfrac{m_1}{m_2}}$$
In my opinion, the answer to a this multiple choice question is c)
$$R_2=\dfrac{m_2 E}{qB}$$
$$\therefore{\dfrac{R_1}{R_2}=\dfrac{m_1}{m_2}}$$
In my opinion, the answer to a this multiple choice question is c)