In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of a path if a magnetic field 100 mT is then applied. [Charge on electron = 1.6 × 10–19C Mass of the electron = 9.1 × 10

Engineering

Physics

Motion of Charged Particle in Uniform Magnetic Field

Question

In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of a path if a magnetic field 100 mT is then applied. [Charge on electron = 1.6 × 10^–19C Mass of the electron = 9.1 × 10^–31 kg]

7.5 × 10^–3 m

7.5 m

7.5 × 10^–4 m

7.5 × 10^–2 m

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$k_{e} = \frac{p^{2}}{2 M_{e}} = 500 e . ........ (i)$

$& R = \frac{p}{eB} = \frac{1000 m_{e} e}{eB} = \frac{1010 \times 9 .1 \times 10^{- 31}}{1 .6 \times 10^{- 19}}$

= 100 × 7.541 × 10^–6