NEET Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव NEET PYQ-Magnetic Effects Of Current

Ionized hydrogen atoms and \[\alpha \]-particles with same momenta enters perpendicular to a constant magnetic field, B. The ratio of their radii of their paths \[{{r}_{H}}:{{r}_{\alpha }}\]will be:                           [NEET 2019]

A) 4 : 1

B)      1 : 4

C) 2 : 1

D)      1 : 2

Correct Answer: C

Solution :

[c] \[r=\frac{mv}{qB}=\frac{p}{qB}\]

\[r\propto \frac{1}{q}\]

\[\frac{{{r}_{H}}}{{{r}_{\alpha }}}=\frac{{{q}_{\alpha }}}{{{q}_{H}}}=\frac{2e}{e}\]

\[{{r}_{H}}:{{r}_{\alpha }}=2:1\]