(a) An electron moves along a circle of radius 1 m in a perpendicular magnetic field of strength 0.50 T. What would be its speed ? Is it reasonable ? (b) If a proton moves along a circle of the same radius in the same magnetic field, what would be its speed ?

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Solution

$(a) R = 1 m, B = 0.5 T, R = m v / q B$

$\Rightarrow v = 0.0879 \times 10^{10}$

$= 8.79 \times 10^{10}$

$= 8.8 \times 10^{10} m / s$

No, it is not responsible as it is more than the speed of light

$(b) r = m v / q B$

$\Rightarrow v = \frac{q B r}{m} = 0.5 \times 10^{8}$

$= 5 \times 10^{7} m / s$

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