Question 160: Magnetism and Matter

Question

Two ions having same mass have charges in the ratio 1 : 2. They are projected normally in a uniform magnetic field with their speeds in the ratio 2 : 3. The ratio of the radii of their circular trajectories is :

Accepted Answer

$$R = {{mv} \over {qB}} \Rightarrow {{{R_1}} \over {{R_2}}} = {{{{m{v_1}} \over {{q_1}B}}} \over {{{m{v_2}} \over {{q_2}B}}}} = {{{v_1}} \over {{q_1}}} 	imes {{{q_2}} \over {{v_2}}} = {{{q_2}} \over {{q_1}}} 	imes {{{v_1}} \over {{v_2}}}$$
$$ = {2 \over 1} 	imes \left( {{2 \over 3}} ight) = {4 \over 3}$$

Answer

1 : 4

Answer

4 : 3

Answer

3 : 1

Answer

2 : 3

Magnetism and Matter

Two ions having same mass have charges in the ratio 1 : 2. They are projected normally in a uniform magnetic field with their speeds in the ratio 2 : 3. The ratio of the radii of their circular trajectories is :

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