Question

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

• A. $(R_1/R_2)^{1/2}$
• B. $R_2/R_1$
• C. $(R_1/R_2)^2$
• D. $R_1/R_2$

Answer 1

Answer: (C)

$(R_1/R_2)^2$

Answer 2

$R=\frac{\sqrt{2qVm}}{Bq}or \, \, \, \, \, R?\sqrt{m}$
$or\, \, \, \, \, \, \, \frac{R_1}{R_2}=\sqrt{\frac{m_X}{m_Y}}\, or\, \frac{m_X}{m_Y}=\Big(\frac{R_1}{R_2}\Big)^2$
$\therefore$ Correct option is (c).