A beam of charged particles moving with a speed of 106 m/s enters a uniform magnetic field of 0.1 T at right angles to the direction of motion. If the particles move in a radius of 0.2 m, then calculate their period of motion.

Respuesta :

Answer:

The period of motion is 1.26x10⁻⁶ s.

Explanation:

The period of motion can be found as follows:

[tex] \omega = \frac{2 \pi}{T} [/tex]

Where:

ω is the angular speed

T is the period

The angular speed is related to tangential speed (v):

[tex] v = \omega r [/tex]

r is the radius

Hence, the period is:

[tex] T = \frac{2 \pi r}{v} = \frac{2 \pi 0.2 m}{10^{6} m/s} = 1.26 \cdot 10^{-6} s [/tex]

Therefore, the period of motion is 1.26x10⁻⁶ s.

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