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  • Two particles 1 and 2 of masses m1 and m2 and having the same charge q, are moving with velocities v1 and v2 respectively in a plane.

Two particles 1 and 2 of masses m1 and m2 and having the same charge q, are moving with velocities v1 and v2 respectively in a plane. They describe circular paths of radii r1 and r2 in a uniform magnetic field B which is directed perpendicular to this plane as shown in Fig. Then

Option: 1

\mathrm{m_1 v_1=m_2 v_2}


Option: 2

\mathrm{m_1 v_1>m_2 v_2}


Option: 3

\mathrm{m_1 v_1<m_2 v_2}


Option: 4

\mathrm{\frac{m_1}{m_2}=\frac{v_1}{v_2}}


Answers (1)

\mathrm{ \frac{m v^2}{r}=q v B \Rightarrow m v=q r B }
\mathrm{ \therefore \quad m_1 v_1=q r_1 B \text { ~~and } ~~m_2 v_2=q r_2 B }

\mathrm{ \therefore \quad \frac{m_1 v_1}{m_2 v_2}=\frac{r_1}{r_2}<1 \quad\left(\because r_1<r_2\right) }
So the correct choice is (c).

    

Posted by

Ramraj Saini

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