Question

Two charged particles having charges $q_1$ and $q_2$ and masses $m_1$ and $m_2$ are projected with same velocity in a region of uniform magnetic field. They follow the trajectory as shown in figure. From this, we can conclude that-

• A. $\frac{m_1}{q_1}<\frac{m_2}{q_2}$
• B. $\frac{m_1}{q_1}>\frac{m_2}{q_2}$
• C. $m_2<m_1$
• D. $q_1<q_2$

Answer 1

The correct option is A $\frac{m_1}{q_1}<\frac{m_2}{q_2}$

From the figure, it is clear that $R_1<R_2$

Radius of circular path traced by charge particle in a uniform magnetic field is,

$R=\frac{mv}{qB}$

$\Rightarrow R\propto \frac{m}{q}$

$\therefore \frac{m_1}{q_1}<\frac{m_2}{q_2}$

Hence, $\left(A\right)$ is the correct answer.