The radius of the path of an electron moving at a speed of $3.2 \times 10^7 \mathrm{~ms}^{-1}$ in a magnetic…

The radius of the path of an electron moving at a speed of $3.2 \times 10^7 \mathrm{~ms}^{-1}$ in a magnetic field of $6 \times 10^{-4} \mathrm{~T}$ perpendicular to it is (mass of electron is $9 \times 10^{-31} \mathrm{~kg}$ and charge of electron is $\left.1.6 \times 10^{-19} \mathrm{C}\right)$
  1. $22.4 \mathrm{~cm}$
  2. $13 \mathrm{~cm}$
  3. $30 \mathrm{~cm}$
  4. $39 \mathrm{~cm}$

Solution

$\mathrm{R}=\frac{\mathrm{mv}}{\mathrm{qB}}=\frac{9.1 \times 10^{-31} \times 3.2 \times 10^7}{1.6 \times 10^{-19} \times 6 \times 10^{-4}}=30 \mathrm{~cm}$

Asked in: AP EAMCET 2023 (19 May Shift 1)

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