- #1

mcastillo356

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- 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}{|q|B}##

$$R_1=\dfrac{m_1 E}{|q|B}$$

$$R_2=\dfrac{m_2 E}{|q|B}$$

$$\therefore{\dfrac{R_1}{R_2}=\dfrac{m_1}{m_2}}$$

In my opinion, the answer to a this multiple choice question is c)

$$R_2=\dfrac{m_2 E}{|q|B}$$

$$\therefore{\dfrac{R_1}{R_2}=\dfrac{m_1}{m_2}}$$

In my opinion, the answer to a this multiple choice question is c)