An alpha particle flies into a uniform magnetic field with induction B = 1 T at a speed υ = 5 · 10 · m / s perpendicular

| June 15, 2021 | education

An alpha particle flies into a uniform magnetic field with induction B = 1 T at a speed υ = 5 · 10 · m / s perpendicular to the lines of induction. Determine the radius of the circle along which the particle moves. The mass of the α-particle is m = 6.65 · 10⁻²⁷ kg.

To find the value of the radius of the circle along which the specified α – particle moves, we use the formula: R = m * V / (q * B).

Constants and variables: m – mass of α – particles (by condition m = 6.65 * 10 ^ -27 kg); V – speed of movement (V = 5 * 10 ^ 6 m / s); q – charge of α – particles (q = 2qe ≈ 3.218 * 10 ^ -19 C); B – field induction (B = 1 T).

Calculation: R = m * V / (q * B) = 6.65 * 10 ^ -27 * 5 * 10 ^ 6 / (3.218 * 10 ^ -19 * 1) = 0.103 m.

Answer: The radius of the circle along which the indicated α-particle moves is 0.103 m.



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