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Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMotion analysis in electric & magnetic fieldMedium2 minQB

PhysicsMediumsingle choice

A deuteron and an alpha particle having equal kinetic energy enter perpendicular into a magnetic field. Let $r_{d}$ and $r_{α}$ be their respective radii of circular path. The value of $\frac{r_{d}}{r_{α}}$ is equal to:

Options:

Answer:

Solution:

$r = \frac{m v}{q B} = \frac{\sqrt{2 m k}}{q B}$
$\frac{r_{d}}{r_{α}} = \sqrt{\frac{m_{d}}{m_{α}}} \frac{q_{α}}{q_{d}} = \sqrt{\frac{2}{4}} (\frac{2}{1}) = \sqrt{2}$
Hence option $(2) .$

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Motion analysis in electric & magnetic field

⏱ 2mℹ️ Source: QB

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