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JEE Main 202127 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2021 · 27 August · Morning Shift · Physics · Magnetic Effects of Current

Two ions of masses 4amu and 16amu have charges + 2e and + 3e...

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:

Options

  1. Alighter ion will be deflected less than heavier ion
  2. Blighter ion will be deflected more than heavier ion
  3. Cboth ions will be deflected equally
  4. Dno ion will be deflected

Correct answer

B. lighter ion will be deflected more than heavier ion

Step-by-step solution

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{2m{k}_{e}}{qB}

⇒r∝mq⇒r1r2=34⇒r2>r1⇒ r ∝ \dfrac{m}{q}⇒ \dfrac{r1}{r2} = \dfrac{3}{4}⇒ {r}_{2} > {r}_{1}.

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