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4.Moving Charges and Magnetism
medium
${H^ + },\,H{e^ + }$ and ${O^{ + + }}$ ions having same kinetic energy pass through a region of space filled with uniform magnetic field $B$ directed perpendicular to the velocity of ions. The masses of the ions ${H^ + },\,H{e^ + }$and ${O^{ + + }}$ are respectively in the ratio $1:4:16$. As a result
A
${H^ + }$ ions will be deflected most
B
${O^{ + + }}$ ions will be deflected least
C
$H{e^ + }$ and ${O^{ + + }}$ ions will suffer same deflection
D
Both $(a)$ and $(c)$
Solution
(d) $r \propto \frac{{\sqrt m }}{q}$$ \Rightarrow {r_H}:{r_{He}}:{r_o} = \frac{{\sqrt 1 }}{1}:\frac{{\sqrt 4 }}{1}:\frac{{\sqrt {16} }}{2} = 1:2:2$
Radius is smallest for ${H^ + }$, so it is deflected most.
Standard 12
Physics
