Question 128: Magnetism and Matter

Question

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 :

Accepted Answer

We know that $$R = {{mv} \over {Bq}} = \sqrt {{{2mK} \over {Bq}}} $$
$$\Rightarrow$$ Ratio of radii $$ = {{{R_1}} \over {{R_2}}} = \sqrt {{{{m_1}} \over {{m_2}}}} {{{q_2}} \over {{q_1}}}$$
$$ \Rightarrow {6 \over 5} = \sqrt {{9 \over 4}} {{{q_2}} \over {{q_1}}}$$
$$ \Rightarrow {{{q_1}} \over {{q_2}}} = {3 \over 2} 	imes {5 \over 6} = {5 \over 4}$$

Answer

8 : 5

Answer

5 : 4

Answer

5 : 3

Answer

8 : 7

Magnetism and Matter

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 :

Choose the correct answer: