Q114 / 125 · BITSAT 2020 · Physics

An electron moves in a circular arc of radius 10 $\mathrm{m}$ at a contant speed of $2 \times 10^{7} \mathrm{~ms}^{-1}$ with its plane of motion normal to magnetic flux density of $10^{-5} \mathrm{~T}$. What will be the value of specific charge of the electron?

  • A
    $2 \times 10^{4} \mathrm{Ckg}^{-1}$
  • B
    $2 \times 10^{5} \mathrm{Ckg}^{-1}$
  • C
    $5 \times 10^{6} \mathrm{Ckg}^{-1}$
  • Correct answer
    D
    $2 \times 10^{11} \mathrm{Ckg}^{-1}$

Solution

$\mathrm{Bqv}=\mathrm{mv}^{2} / \mathrm{r}$ or $\mathrm{q} / \mathrm{m}=\mathrm{v} / \mathrm{rB}$.

Hence, the correct answer is option: 'D'.

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