First slide

Force on a charged particle moving in a magnetic field

Question

A cathode ray beam is bent in a circle of radius 2.0 cm by a uniform field with $B = 9.1 \times 10^{- 3} T$ . What is the speed of the electrons?

Moderate

A

$1.0 \times 10^{- 6} m / s$
B

$1.2 \times 10^{- 7} m / s$
C

$3.2 \times 10^{- 7} m / s$
D

$4.2 \times 10^{- 6} m / s$

Solution

$v = \frac{r q B}{m} = \frac{2 \times 10^{- 2} \times 1.6 \times 10^{- 19} \times 9.1 \times 10^{- 3}}{9.1 \times 10^{- 31}} = 3.2 \times 10^{7} m / s$

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