Magnetics 1 Question 16
16. Two particles $X$ and $Y$ having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii $R _1$ and $R _2$ respectively. The ratio of the mass of $X$ to that of $Y$ is
$(1988,2 M)$
(a) $\left(R _1 / R _2\right)^{1 / 2}$
(b) $R _2 / R _1$
(c) $\left(R _1 / R _2\right)^{2}$
(d) $R _1 / R _2$
Objective Questions II (One or more correct option)
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Answer:
Correct Answer: 16. (c)
Solution:
- $\quad R=\frac{\sqrt{2 q V m}}{B q}$
or
$R \propto \sqrt{m}$
or $\frac{R _1}{R _2}=\sqrt{\frac{m _X}{m _Y}}$
or $\frac{m _X}{m _Y}=\frac{R _1}{R _2}{ }^{2}$
