Magnetic Effects & Magnetism

JEE Main level, single correct, medium

143 of 276

Question 143 of 276

Two ions of masses 4amu4amu and 16amu16amu have charges +2e+2e and +3e+3e respectively. These ions pass through the region of the constant perpendicular magnetic field. The kinetic energy of both ions is the same. Then:

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Answer: (B) lighter ion will be deflected more than heavier ion

The relation between linear moment and radius in terms of the magnitude of magnetic field and charge of a particle, r=PqB=2mkeqBr=\dfrac{P}{qB}=\dfrac{\sqrt{2m{k}_{e}}}{qB}
⇒r∝mq\Rightarrow r\propto \dfrac{\sqrt{m}}{q}⇒r1r2=34\Rightarrow \dfrac{{r}_{1}}{{r}_{2}}=\dfrac{3}{4}⇒r2>r1\Rightarrow {r}_{2}\gt {r}_{1}.

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