JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism
Two ions of masses \(4 \,{amu}\) and \(16\, amu\) have charges \(+2 {e}\) and \(+3 {e}\) respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then :
- A lighter ion will be deflected less than heavier ion
- B lighter ion will be deflected more than heavier ion
- C both ions will be deflected equally
- D no ion will be deflected
Answer & Solution
Correct Answer
(B) lighter ion will be deflected more than heavier ion
Step-by-step Solution
Detailed explanation
\({r}=\frac{{P}}{{qB}}=\frac{\sqrt{2 {mk}}}{{qB}}\) Given they have same kinetic energy \({r} \propto \frac{\sqrt{{m}}}{{q}}\) \(\frac{{r}_{1}}{{T}_{2}}=\frac{\sqrt{4}}{2} \times \frac{3}{\sqrt{16}}=\frac{3}{4}\) \({I}_{2}=\frac{4 {r}_{1}}{3}\left[{r}_{2}\right.\) is for hearier…
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