Two charged particles, having same kinetic energy, are allowed to… - Vidyadip

MCQ

Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $6: 5$ and their respective masses ratio is $9: 4$. Then, the ratio of their charges will be.

A
$8: 5$
✓
$5: 4$
C
$5: 3$
D
$8: 7$

✓

Answer

Correct option: B.

$5: 4$

b
Radius of circular path $R =\frac{\sqrt{2 mk }}{ qB }$

$q =\frac{\sqrt{2 mk }}{ RB }$

$\frac{ q _{1}}{ q _{2}}=\sqrt{\frac{ m _{1}}{ m _{2}}} \times \frac{ R _{2}}{ R _{1}}=\sqrt{\frac{9}{4}} \times \frac{5}{6}=\frac{5}{4}$

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