Question 157: Magnetism and Matter

Question

Two ions of masses 4 amu and 16 amu have charges +2e and +3e respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then :

Accepted Answer

$$r = {P \over {qB}} = {{\sqrt {2mk} } \over {qB}}$$
Given they have same kinetic energy
$$r \propto {{\sqrt m } \over q}$$
$${{{r_1}} \over {{r_2}}} = {{\sqrt 4 } \over 2} 	imes {3 \over {\sqrt {16} }} = {3 \over 4}$$
$${r_2} = {{4{r_1}} \over 3}$$ (r
2
is for heavier ion and and r
1
is for lighter ion)
$$\sin 	heta  = {d \over R}$$
$$	heta$$ $$	o$$ Deflection
$$	heta  \propto {1 \over R}$$
(R $$	o$$ Radius of path)
$$\because$$ R
2
> R
1
$$\Rightarrow$$ $$	heta$$
2
< $$	heta$$
1

Answer

lighter ion will be deflected less than heavier ion

Answer

lighter ion will be deflected more than heavier ion

Answer

both ions will be deflected equally

Answer

no ion will be deflected

Magnetism and Matter

Two ions of masses 4 amu and 16 amu have charges +2e and +3e respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then :

Choose the correct answer: