In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V . Calculate the radius of the path if a magnetic field 100 mT is then applied. [Charge of the electron = 1.6 × 1

Question

In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V . Calculate the radius of the path if a magnetic field 100 mT is then applied. [Charge of the electron = 1.6 × 1 0 − 19 C Mass of the electron = 9.1 × 1 0 − 31 kg ]

TestHub · Accepted Answer

Radius of the path (r) is given by r = qB mv ​ \begin{aligned} r &= eB 2 mk ​ ​ \quad( ∵ p = mv = 2 mk ​ ) \&= eB 2 meV ​ ​ \quad( ∵ k = eV ) \ r &= B e 2 m ​ V ​ ​ = 100 × 1 0 − 3 1.6 × 1 0 − 19 2 × 9.1 × 1 0 − 31 ​ ( 500 ) ​ ​ \end{aligned} r = 1 0 − 1 0.16 9.1 ​ × 1 0 − 10 ​ ​ = 4 3 ​ × 1 0 − 4 = 7.5 × 1 0 − 4

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